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Delle Site, L. and Klein, R. and Lukáčová-Medvid’ová, M. (2024) Cascades of Scales: Applications and Mathematical Methodologies. Journal of Mathematica Physics, 65 (120401). ISSN 0022-2488 Online 1089-7658

Liu, X. and Klein, R. (2024) On the boundary layer arising from fast internal waves dynamics. (Submitted)

Klein, R. and Nadolski, M. and Zenker, C. and Oevermann, M. and Paschereit, C. O. (2024) Pressure gain combustion for gas turbines: Analysis of a fully coupled engine model. ASME J. Eng. Gas Turbines Power, 147 (2). ISSN Online 1528-8919, Print:0742-4795

Rodal, M. and Margerit, D. and Klein, R. (2024) Slender vortex filaments in the Boussinesq Approximation. Physics of Fluids, 36 (5). ISSN 1070-6631 EISSN 1089-7666

Bäumer, D. and Hittmeir, S. and Klein, R. (2023) Scaling approaches to quasi-geostrophic theory for moist, precipitating air. J. Atmos. Sci. . pp. 1-18.

Chew, R. and Schlutow, M. and Klein, R. (2023) An unstable mode of the stratified atmosphere under the non-traditional Coriolis acceleration. Journal of Fluid Mechanics, 967 .

del Razo, M.J. and Winkelmann, S. and Klein, R. and Höfling, F. (2023) Chemical diffusion master equation: formulations of reaction–diffusion processes on the molecular level. J. Math. Phys., 64 (013304).

Harikrishnan, A. P. and Ansorge, C. and Klein, R. and Vercauteren, N. (2023) Geometry and organization of coherent structures in stably stratified atmospheric boundary layers. Journal of Fluid Mechanics . (Submitted)

Hittmeir, S. and Klein, R. and Li, J. and Titi, Edriss (2023) Global well-posedness for the thermodynamically refined passively transported nonlinear moisture dynamics with phase changes. Journal of Nonlinear Science, 33 (65). ISSN Online: 1432-1467 Print: 0938-8974

Harikrishnan, A. P. and Rodal, M. and Klein, R. and Margerit, D, and Vercauteren, N. (2023) On the motion of hair-pin filaments in the atmospheric boundary layer. Physics of Fluids, 35 (7).

Harikrishnan, A. P. and Rodal, M. and Klein, R. and Margerit, D, and Vercauteren, N. (2023) On the motion of hairpin filaments in the atmospheric boundary layer. Physics of Fluids, 35 (7). ISSN 1070-6631 EISSN 1089-7666

Gelß, P. and Matera, S. and Klein, R. and Schmidt, B. (2023) Quantum Dynamics of Coupled Excitons and Phonons in Chain-Like Systems: Tensor Train Approaches and Higher-Order Propagators. J. Chem. Phys. . (Submitted)

Hirt, M. and Craig, G.C. and Klein, R. (2023) Scale-interactions between the meso- and synoptic scales and the impact of diabatic heating. QJRMS, 149 (753). pp. 1319-1334.

Riedel, J. and Gelß, P. and Klein, R. and Schmidt, B. (2023) WaveTrain: A Python Package for Numerical Quantum Mechanics of Chain-Like Systems Based on Tensor Trains. J. Chem. Phys. (164801), 158 (16). ISSN 0021-9606

Gholami, Abbas and Klein, R. and Delle Site, Luigi (2022) Simulation of a Particle Domain in a Continuum, Fluctuating Hydrodynamics Reservoir. Physical Review Letters, 129 (23).

Gholami, A. and Klein, R. and Delle Site, L. (2022) Simulation of a particle domain in a continuum/fluctuating hydrodynamics reservoir. Phys. Rev. Lett., 129 (23).

Chew, R. and Benacchio, T. and Hastermann, G. and Klein, R. (2022) A one-step blended soundproof-compressible model with balanced data assimilation: theory and idealised tests. Monthly Weather Review, 150 (9). pp. 2231-2254. ISSN 0027-0644; elSSN: 1520-0493

Klein, R. and Delle Site, Luigi (2022) Derivation of Liouville-like equations for the n-state probability density of an open system with thermalized particle reservoirs and its link to molecular simulation. Journal of Physics A: Mathematical and Theoretical, 55 . pp. 1-18.

Gelß, P. and Klein, R. and Matera, S. and Schmidt, B. (2022) Solving the time-independent Schrödinger equation for chains of coupled excitons and phonons using tensor trains. J. Chem. Phys., 156 (02). 024109.

von Lindheim, Johannes and Harikrishnan, A. P. and Dörffel, T. and Klein, R. and Koltai, Péter and Mikula, Natalia and Müller, Annette and Névir, Peter and Pacey, George and Polzin, Robert and Vercauteren, N. (2022) Definition, detection and trackingof persistent structures in atmospheric flows. J. Math. Phys . (Submitted)

Delle Site, L. and Klein, R. (2022) Derivation of Liouville-like equation for the n-state probability density of an open system with thermalized particle reservoirs and its link to molecular simulation. J. Physics A:Math. Theor., 55 (15).

Thethy, Bhavraj S. and Haghdoost, M.R. and Kirby, R. and Seo, B. and Nadolski, M. and Zenker, C. and Oevermann, M. and Klein, R. and Oberleithner, K. and Edgington-Mitchell, D. (2022) Diffraction of shock waves through a non-quiescent medium. Journal of Fluid Mechanics, 944 .

Chew, R. and Schlutow, M. and Klein, R. (2022) Instability of the isothermal, hydrostatic equatorial atmosphere at rest under the full Coriolis acceleration. J. Atmos. Sci. . (Submitted)

Haghdoost, M.R. and Thethy, B.S. and Nadolski, M. and Klein, R. and Honnery, D. and Hennington- Mitchell, D. and Seo, B. and Paschereit, O. C. and Oberleithner, K. (2022) Numerical and Experimental Evaluation of Shock Dividers. Shock Waves, 32 . pp. 195-211.

Klein, R. and Schielicke, L. and Pfahl, S. and Khouider, B. (2022) QG-DL-Ekman: Dynamics of a diabatic layer in the quasi-geostrophic framework. Journal of the Atmospheric Sciences, 79 (3). pp. 887-905.

Bresch, D. and Klein, R. and Liu, X. (2022) The Soundproof Model of an Acoustic–internal Waves System with Low Stratification. Journal of Mathematical Fluid Mechanics, 24 (149). ISSN 1422-6928 (Print) 1422-6952 (Online)

Bresch, D. and Klein, R. and Liu, X. (2022) The soundproof model of an acoustic-internal waves system with low stratification. Journal of Mathematical Fluid Mechanics, 25 (2). ISSN Electronic 1422-6952; Print 1422-6928

Gholami, Abbas and Klein, R. and Delle Site, Luigi (2021) On the relation between Pressure and Coupling Potential in Adaptive Resolution Simulations of Open Systems in contact with a Reservoir. Advanced Theory and Simulations, 5 . pp. 1-8.

Dörffel, T. and Papke, A. and Klein, R. and Ernst, Natalia and Smolarkiewicz, Piotr K. (2021) Dynamics of tilted atmospheric vortices under asymmetric diabatic heating. Theoretical and Computational Fluid Dynamics .

von Lindheim, Johannes and Harikrishnan, A. P. and Dörffel, T. and Ernst, Natalia and Klein, R. and Koltai, Péter and Müller, Annette and Pacey, George and Polzin, Robert and Vercauteren, N. (2021) Definition, detection and tracking of persistent structures in atmospheric flows. preprint. J. Math. Phys. . pp. 1-64. (In Press)

Harikrishnan, A. P. and Ansorge, C. and Klein, R. and Vercauteren, N. (2021) Lagrangian hairpins in atmospheric boundary layers. Gallery of Fluid Motion .

Hittmeir, S. and Klein, R. and Müller, A. and Névir, P. (2021) The Dynamic State Index with Moisture and Phase Changes. J. Math. Phys, 62 (12). pp. 1-12.

Hastermann, G. and Reinhardt, M. and Klein, R. and Reich, S. (2021) Balanced data assimilation for highly-oscillatory mechanical systems. Communications in Applied Mathematics & Computational Science, 16 (1). pp. 119-154.

Klein, R. and Viand, R. E. and Höfling, Felix and Delle Site, Luigi (2021) Nonequilibrium Induced by Reservoirs: Physico-Mathematical Models and Numerical Tests. Advanced Theory and Simulations, 4 . pp. 1-10.

Klein, R. and Schielicke, L. and Pfahl, S. and Khouider, B. (2021) QG-DL: Dynamics of a diabatic layer in the quasi-geostrophic framework. Journal of the Atmospheric Sciences . pp. 1-12. ISSN Online: 1520-0469 Print: 0022-4928 (Submitted)

Chew, R. and Benacchio, T. and Hastermann, G. and Klein, R. (2021) Balanced data assimilation with a blended numerical model. Monthly Weather Review . pp. 1-43. (Submitted)

Gholami, A. and Höfling, Felix and Klein, R. and Delle Site, Luigi (2021) Thermodynamic Relations at the Coupling Boundary in Adaptive Resolution Simulations for Open Systems. Advanced Theory and Simulations, 4 . pp. 1-10.

Schmidt, F. and Gagarina, E. and Klein, R. and Achatz, U. (2021) Toward a Numerical Laboratory for Investigations of Gravity Wave–Mean Flow Interactions in the Atmosphere. Monthly Weather Review, 149 (12). pp. 4005-4026.

Schmidt, F. and Gagarina, E. and Klein, R. and Achatz, U. (2021) Towards a numerical laboratory for investigations of gravity-wave 2 mean-ow interactions in the atmosphere. Monthly Weather Review MWR-D-21-0126 . pp. 1-75. (Submitted)

Delle Site, L. and Klein, R. and Höfling, F. and Viand, R. E. (2020) Theory and simulation of open systems out of equilibrium. J. Chem. Phys. (2020);, 153 (10). pp. 1-7. ISSN 101102

Delle Site, L. and Klein, R. (2020) Liouville-type equations for the n-particle distribution functions of an open system. Journal of Mathematical Physics, 61 (8).

Hittmeir, S. and Klein, R. and Li, J. and Titi, E. (2020) Global well-posedness for the primitive equations coupled to nonlinear moisture dynamics with phase changes. Nonlinearity, 33 (7). pp. 3206-3236.

Delle Site, L. and Praprotnik, M. and Bell, John B. and Klein, R. (2020) "Particle-Continuum Coupling and its Scaling Regimes: Theory and Applications". Advanced Theory and Simulations, 3 (5).

Haghdoost, M.R. and Edgington-Mitchell, D. and Nadolski, M. and Klein, R. and Oberleithner, K. (2020) Dynamic Evolution of a Transient Supersonic Trailing Jet Induced by a Strong Incident Shock Wave. Phys. Rev. Fluids, 5 (7).

Henneke, F. and Lin, L. and Vorwerk, C. and Draxl, C. and Klein, R. and Yang, C. (2020) Fast Optical Absorption Spectra Calculations for Periodic Solid State Systems. Communications in Applied Mathematics and Computational Science, 15 (1). pp. 89-113.

Viand, R. E. and Höfling, F. and Klein, R. and Delle Site, L. (2020) Open Systems out of Equilibrium: Theory and Simulation. J. Chem. Phys., 153 (10).

Delle Site, L. and Praprotnik, M. and Bell, John B. and Klein, R. (2020) Particle-Continuum Coupling and its Scaling Regimes: Theory and Applications. Advanced Theory and Applications .

Delle Site, L. and Praprotnik, M. and Bell, J. B. and Klein, R. (2020) Particle–Continuum Coupling and its Scaling Regimes: Theory and Applications. Advanced Theory and Simulation, 3, 1900232 (2020), 3 (190023). pp. 1-20.

Benacchio, T. and Klein, R. (2019) A semi-implicit compressible model for atmospheric flows with seamless access to soundproof and hydrostatic dynamics. Monthly Weather Review, 147 (11). pp. 4221-4240. ISSN Online: 1520-0493; Print: 0027-0644

Schmidt, B. and Klein, R. and Cancissu Araujo, L. (2019) WavePacket: A Matlab package for numerical quantum dynamics. III: Quantum-classical simulations and surface hopping trajectories. J. Comp. Chem., 40 (30). pp. 2677-2688.

Hittmeir, S. and Klein, R. and Li, J. and Titi, E. (2019) "Global well-posedness for the primitive equations coupled to nonlinear moisture dynamics with phase changes" by Hittmeir, Sabine; Klein, Rupert; Li, Jinkai; Titi, Edriss. Analysis of PDEs . pp. 1-28. ISSN 1907.11199 (Submitted)

Kühnlein, C. and Deconinck, W. and Klein, R. and Malardel, S. and Piotrowski, Z. and Smolarkiewicz, P.K. and Szmelter, J. and Wedi, N. (2019) FVM 1.0: a nonhydrostatic finite-volume dynamical core for the IFS. Geosci. Model Dev., 12 (2). pp. 651-676. ISSN 1991-959X, ESSN: 1991-9603

Delle Site, L. and Krekeler, C. and Whittaker, J. and Agarwal, A. and Klein, R. and Höflling, F. (2019) Molecular dynamics of open systems: construction of a mean-field particle reservoir. Adv. Th. Simul, 2 (5).

von Larcher, T. and Klein, R. (2019) On identification of self-similar characteristics using the Tensor Train decomposition method with application to channel turbulence flow. Theoretical and Computational Fluid Dynamics, 33 . pp. 1-19. ISSN 0935-4964 (Print) 1432-2250 (Online)

Hittmeir, S. and Klein, R. and Li, J. and Titi, E. (2019) Global well-posedness for the primitive equations coupled to nonlinear moisture dynamics with phase changes. . . (Submitted)

Pütz, C. and Schlutow, M. and Klein, R. (2019) Initiation of ray tracing models: Evolution of small-amplitude gravity wave packets in non-uniform background. Theoretical and Computational Fluid Dynamics, 33 (5). pp. 509-535. ISSN Elektronisch: 1432-2250; Print: 0935-4964

Kühnlein, C. and Deconinck, W. and Klein, R. and Malardel, S. and Piotrowski, Z. and Smolarkiewicz, P. and Szmelter, J. and Wedi, N. (2019) A nonhydrostatic finite-volume dynamical core for the IFS. Geoscientific Model Development, 12 (2). pp. 651-676.

Vater, S. and Klein, R. (2018) A Semi-Implicit Multiscale Scheme for Shallow Water Flows at Low Froude Number. Communications in Applied Mathematics & Computational Science, 13 (2). pp. 303-336. ISSN 1559-3940

Gokhale, N. and Nikiforakis, N. and Klein, R. (2018) A dimensionally split Cartesian cut cell method for the compressible Navier-Stokes equations. Journal of Computational Physics, 375 . pp. 1205-1219.

Müller, A. and Névir, P. and Klein, R. (2018) Scale Dependent Analytical Investigation of the Dynamic State Index Concerning the Quasi-Geostrophic Theory. Mathematics of Climate and Weather Forecasting, 4 (1). pp. 1-22. ISSN 2353-6438 (online)

Bennett, W.P. and Nikiforakis, N. and Klein, R. (2018) A Moving Boundary Flux Stabilization Method for Cartesian Cut-Cell Grids using Directional Operator Splitting. Journal of Computational Physics, 368 . pp. 333-358.

Gokhale, N. and Nikiforakis, N. and Klein, R. (2018) A dimensionally split Cartesian cut cell method for hyperbolic conservation laws. Journal of Computational Physics, 364 . pp. 186-208. ISSN 0021-9991

Shadrack Jabes, B. and Klein, R. and Delle Site, L. (2018) Structural Locality and Early Stage of Aggregation of Micelles in Water: An Adaptive Resolution Molecular Dynamics Study. Advanced Theory & Simulations, 1 (6).

Shadrack Jabes, B. and Krekeler, C. and Klein, R. and Delle Site, L. (2018) Probing Spatial Locality in Ionic Liquids with the Grand Canonical Adaptive Resolution Molecular Dynamics Technique. The Journal of Chemical Physics, 148 (19). ISSN online: 1089-7690

Hittmeir, S. and Klein, R. (2018) Asymptotics for moist deep convection I: Refined scalings and self-sustaining updrafts. Theoretical and Computational Fluid Dynamics, 32 (2). pp. 137-164. ISSN 0935-4964 (Print) 1432-2250 (Online)

Nguyen van yen, N. and Waidmann, M. and Klein, R. and Farge, M. (2018) Energy dissipation caused by boundary layer instability at vanishing viscosity. Journal of Fluid Mechanics, 849 . pp. 676-717.

Wilhelm, J. and Akylas, T.R. and Bölöni, G. and Wei, J. and Ribstein, B. and Klein, R. and Achatz, U. (2018) The Interaction between Meso- and Sub-mesoscale Gravity Waves. Journal of the Atmospheric Sciences, 75 (7). pp. 2257-2280. ISSN 0022-4928

Wilhem, J. and Akylas, T.R. and Bölöni, G. and Wei, J. and Ribstein, B. and Klein, R. and Achatz, U. (2018) Interactions between Meso- and Sub-Mesoscale Gravity Waves and their Efficient Representation in Mesoscale-Resolving Models. J. Atmos. Sci. . (Unpublished)

Becker, N. and Névir, P. and Klein, R. (2018) Large-scale secondary circulations in a limited area model - the impact of lateral boundaries and resolution. Tellus A: Dynamic Meteorology and Oceanography, 70 (1).

Peters, J.H. and Gräser, C. and Klein, R. (2017) Membrane Deformation by N-BAR Proteins: Extraction of membrane geometry and protein diffusion characteristics from MD simulations. SFB 1114 Preprint in arXiv:1712.02666 . pp. 1-12. (Unpublished)

Schlutow, M. and Klein, R. and Achatz, U. (2017) Finite-amplitude gravity waves in the atmosphere: travelling wave solutions. Journal of Fluid Mechanics, 826 . pp. 1034-1065.

Hittmeir, S. and Klein, R. and Li, J. and Titi, E. (2017) Global well-posedness for passively transported nonlinear moisture dynamics with phase changes. Nonlinearity, 30 (10). pp. 3676-3718. ISSN 0951-7715

Dörffel, T. and Papke, A. and Klein, R. and Smolarkiewicz, P. (2017) Intensification of tilted atmospheric vortices by asymmetric diabatic heating. SFB 1114 Preprint in arXiv:1708.07674 . pp. 1-22. (Unpublished)

Mazza, E. and Ulbrich, U. and Klein, R. (2017) The Tropical Transition of the October 1996 Medicane in the Western Mediterranean Sea: A Warm Seclusion Event. Monthly Weather Review, 145 . pp. 2575-2595. ISSN Online: 1520-0493 Print: 0027-0644

Achatz, U. and Ribstein, B. and Senf, F. and Klein, R. (2017) The interaction between synoptic‐scale balanced flow and a finite‐amplitude mesoscale wave field throughout all atmospheric layers: weak and moderately strong stratification. QJRMS, 143 (702). pp. 342-361.

Berndt, P. and Klein, R. (2017) Modeling the kinetics of the Shockless Explosion Combustion. Combustion and Flame, 175 . pp. 16-26.

Schäpel, J.S. and Wolff, S. and Schulze, P. and Berndt, P. and Klein, R. and Mehrmann, V. and King, R. (2017) State estimation for reactive Euler equation by Kalman Filtering. CEAS Aeronautical Journal, 1 (10). pp. 261-270. ISSN 1869-5582

Zhu, J. and Klein, R. and Delle Site, L. (2016) Adaptive Molecular Resolution Approach in Hamiltonian Form: An Asymptotic Analysis. Physical Review E, 94 (043321).

Klein, R. and Benacchio, T. (2016) A doubly blended model for multiscale atmospheric dynamics. Journal of the Atmospheric Sciences, 73 . pp. 1179-1186. ISSN Online: 1520-0469 Print: 0022-4928

Vercauteren, N. and Mahrt, L. and Klein, R. (2016) Investigation of interactions between scales of motion in the stable boundary layer. Quarterly Journal of the Royal Meteorological Society .

Feireisl, E. and Klein, R. and Novotný, A. and Zatorska, E. (2016) On singular limits arising in the scale analysis of stratified fluid flows. Mathematical Models and Methods in Applied Sciences, World Scientific, 26 (3). pp. 419-443. ISSN Print: 0218-2025 Online: 1793-6314

Dewar, W. and Schoonover, J. and McDougall, T. and Klein, R. (2016) Semicrompressible Ocean Thermodynamics and Boussinesq Energy Conservation. Fluids, 1 (9).

Reichel , T. and Schäpel, J.S. and Bobusch, B. and Klein, R. and King, R. and Paschereit, C. O. (2016) Shockless Explosion Combustion: Experimental Investigation of a New Approximate Constant Volume Combustion Process. Journal of Engineering for Gas Turbines and Power, 139 (2). 021504 -021511. ISSN 0742-4795

Peters, J.H. and Klein, R. and Delle Site, L. (2016) Simulation of macromolecular liquids with the adaptive resolution molecular dynamics technique. Phys. Rev. E, 94 (2). 023309.

Klein, R. (2015) Comments on "Advantages and challenges in coupling an ideal gas to atomistic models in adaptive resolution simulations" by K. Kreis, A.C. Fogarty, K. Kremer R. Potestio. The European Physical Journal, 224 (12). pp. 2503-2504. ISSN Online: 1951-6401 Print: 1951-6355

Klein, R. (2015) Comments on "Open Boundary Molecular Dynamics " by R. Delgado-Buscalioni, J. Sablic, and M. Praprotnik. The European Physical Journal, 224 (12). pp. 2509-2510. ISSN Online: 1951-6401 Print: 1951-6355

Klein, R. (2015) Comments on "Adaptive Resolution Simulation in Equilibrium and Beyond" by H. Wang and A. Agarwal. The European Physical Journal, 224 (12). pp. 2497-2499.

Benacchio, T. and Klein, R. and Dubos, T. and Voitus, F. (2015) Comments on “A Semihydrostatic Theory of Gravity-Dominated Compressible Flow”. Journal of the Atmospheric Sciences , 72 (7). pp. 2850-2851. ISSN Online: 1520-0469 Print: 0022-4928

Boger, M. and Jägle, F. and Munz , C.-D. and Klein, R. (2015) Coupling of compressible and incompressible flow regions using the multiple pressure variables approach. Mathematical Methods in the Applied Sciences, 38 (3). pp. 458-477.

Becker, N. and Ulbrich, U. and Klein, R. (2015) Systematic large-scale secondary circulations in a regional climate model. Geophysical Research Letters, 42 (10). 4142-4149 .

von Larcher, T. and Beck, A. and Klein, R. and Horenko, I. and Metzner, Ph. and Waidmann, M. and Igdalov, D. and Gassner, G. and Munz , C.-D. (2015) Towards a Framework for the Stochastic Modelling of Subgrid Scale Fluxes for Large Eddy Simulation. Meteorologische Zeitschrift, 24 (3). pp. 313-342.

Vercauteren, N. and Klein, R. (2015) A clustering method to characterize intermittent bursts of turbulence and interaction with submeso motions in the stable boundary layer. Journal of the Atmospheric Sciences, 72 (1). ISSN Online: 1520-0469 Print: 0022-4928

Bobusch, B. and Berndt, P. and Paschereit, O. C. and Klein, R. (2014) Shockless explosion combustion: An innovative way of efficient constant volume combustion in gas turbines. Combustion Science and Technology, 186 (10-11). pp. 1680-1689.

Oevermann, M. and Klein, R. (2014) An asymptotic solution approach for elliptic equations with discontinuous coefficients. Journal of Computational Physics, 261 . pp. 230-243.

Benacchio, T. and O'Neill, W.P. and Klein, R. (2014) A blended soundproof-to-compressible numerical model for small- to mesoscale atmospheric dynamic. Monthly Weather Review, 142 (12). pp. 4416-4438. ISSN Online:1520-0493; Print: 0027-0644

O'Neill, W.P. and Klein, R. (2014) A moist pseudo-incompressible model. Atmospheric Research, 142 (1). pp. 133-141.

Dolaptchiev, S. and Klein, R. (2013) A multi-scale model for the planetary and synoptic motions in the atmosphere. J. Atmos. Sci., 70 (9). pp. 2963-2981. ISSN Online:1520-0469; Print: 0022-4928

Paeschke, E. and Marschalik, P. and Owinoh, A.Z. and Klein, R. (2012) Motion and structure of atmospheric mesoscale baroclinic vortices: dry air and weak environmental shear. Journal of Fluid Mechanics, 701 . pp. 137-170.

Klein, R. and Pauluis, O. (2012) Thermodynamic Consistency of a Pseudo-Incompressible Approximation for General Equations of State. Journal of the Atmospheric Sciences, 69 (3 ). pp. 961-968. ISSN Online: 1520-0469; Print : 0022-4928

Rieper, F. and Achatz, U. and Klein, R. (2012) Validation of an extended non-linear WKB theory: 1D and 2D case. Journal of Fluid Mechanics . (Submitted)

Ruprecht, D. and Klein, R. (2011) A Model for Nonlinear Interactions of Internal Gravity Waves with Saturated Regions. Meteorologische Zeitschrift, 20 (2). pp. 243-252.

Owinoh, A.Z. and Stevens, B. and Klein, R. (2011) Multiscale Asymptotics Analysis for the Mesoscale Dynamics of Cloud-Topped Boundary Layers. Journal of the Atmospheric Sciences, 68 (2). pp. 379-402. ISSN Online 1520-0469, Print 0022-4928

Bresch, D. and Klein, R. and Lucas, C. (2011) Multiscale analyses for the Shallow Water equations. Computational Science and High Performance Computing IV, 115/20 . pp. 149-164. ISSN 1612-2909 (Print) 1060-0824 (Online)

Vater, S. and Klein, R. and Knio, O.M. (2011) A Scale-selective Multilevel Method for Long-Wave Linear Acoustics. Acta Geophysica, 59 (6). pp. 1076-1108.

Achatz, U. and Klein, R. and Senf, F. (2010) Gravity waves, scale asymptotics, and the pseudo-incompressible equations. Journal of Fluid Mechanics, 663 . pp. 120-147.

Ruprecht, D. and Klein, R. and Majda, A. J. (2010) Modulation of Internal Gravity Waves in a Multiscale Model for Deep Convection on Mesoscales. Journal.of the Atmospheric Sciences, 67 (8). pp. 2504-2519. ISSN Online 1520-0469, Print 0022-4928

Klein, R. and Achatz, U. and Bresch, D. and Knio, O.M. and Smolarkiewicz, P. (2010) Regime of Validity of Sound-Proof Atmospheric Flow Models. Journal of the Atmospheric Sciences, 67 (10). pp. 3226-3237. ISSN Online: 1520-0469 Print: 0022-4928

Klein, R. (2010) Scale-Dependent Asymptotic Models for Atmospheric Flows. Annual Review of Fluid Mechanics, 42 . pp. 249-274.

Moeck, J. and Scharfenberg , C. and Paschereit, O. C. and Klein, R. (2010) A zero-Mach solver and reduced order acoustic representations for modeling and control of combustion instabilities. Active Flow Control II, Notes on Numerical Fluid Mechanics and Multidisciplinary Design,, 108/2010 . pp. 291-306. ISSN 978-3-642-11734-3

Klein, R. and Bates, K.R. and Nikiforakis, N. (2009) Well Balanced Compressible Cut-Cell Simulation of Atmospheric Flow. Philosophical Transaction of the Royal Society, 367 (1907). 4559-4575 . ISSN Online: 1471-2962

Oevermann, M. and Scharfenberg , C. and Klein, R. (2009) A sharp interface finite volume method for elliptic equations on Cartesian grids. Journal of Computational Physics, 228 (14). pp. 5184-5206.

Klein, R. (2009) Asymptotics, structure, and integration of sound-proof atmospheric flow equations. Theoretical and Computational Fluid Dynamics, 23 (3). pp. 161-195. ISSN 0935-4964 (Print) 1432-2250 (Online)

Audusse, E. and Klein, R. and Owinoh, A.Z. (2009) Conservative Discretization of Coriolis Force. Journal of Computational Physics, 228 (8). pp. 2934-2950.

Dolaptchiev, S. and Klein, R. (2009) Planetary geostrophic equations for the atmosphere with evolution of the barotropic flow. Dynamics of Atmospheres and Oceans Volume, 46 (1-4). pp. 46-61.

Vater, S. and Klein, R. (2009) Stability of a Cartesian grid projection method for zero Froude number shallow water flows. Numerische Mathematik, 113 (1). pp. 123-161.

Franzke, Ch. and Horenko, I. and Majda, A. J. and Klein, R. (2009) Systematic Metastable Atmospheric Regime Identification in an AGCM. J. Atm. Sci., 66 (7). pp. 1997-2012.

Ionescu, C. and Klein, R.J.T. and Hinkel, J., and Kavi Kumar, K.S., and Klein, R. (2009) Towards a formal framework for vulnerability to climate change. Environmental Modeling and Assessment, 14 (1). pp. 1-16. ISSN 1420-2026 (Print) 1573-2967 (Online)

Moeck, J. and Oevermann, M. and Klein, R. and Paschereit, O. C. and Schmidt, H. (2009) A two-way coupling for modeling thermoacoustic instabilities in a flat flame Rijke tube. Proceedings of the Combustion Institute, 32 (1). pp. 1199-1207.

Carqué, G. and Schmidt, H. and Stevens, B. and Klein, R. (2008) Plausibility Check of an Asymptotic Column Model for Deep Convective Clouds. ZIB-Report, 08 (44).

Münch, M. and Klein, R. (2008) Critical numerical aspects for field model applications. EUSAS Journal (4). pp. 41-54.

Carqué, G. and Owinoh, A.Z. and Klein, R. and Majda, A. J. (2008) Asymptotic Scale Analysis of Precipitating Clouds. ZIB-Report, 08-03 . ISSN 1438-0064

Münch, M. and Klein, R. (2008) Anforderungen an numerische Berechnungen der Brand- und Rauchausbreitung im Vorbeugenden Brandschutz. vfdb-Zeitschrift Forschung, Technik und Management im Brandschutz, Jg. 57 (3). pp. 145-151. ISSN 0042-1804

Horenko, I. and Klein, R. and Dolaptchiev, S. and Schütte, Ch. (2008) Automated Generation of Reduced Stochastic Weather Models I: Simultaneous Dimension and Model reduction for Time Series Analysis. Mult. Mod. Sim., 6 (4). pp. 1125-1145.

Warren, R. and de la Nava Santos, S. and Arnell, N.W. and Bane, M. and Barker, T. and Barton, C. and Ford, R. and Füssel, H.-M. and Hankin, Robin K.S. and Klein, R. and Linstead, C. and Kohlera, J. and Mitchella, T.D. and Osborna, T.J. and Pan, H. and Raper, S.C.B. and Riley, G. and Schellnhuber, H.J. and Winne, S. and Anderson, D. (2008) Development and illustrative outputs of the Community Integrated Assessment System (CIAS), a multi-institutional modular integrated assessment approach for modelling climate change. Environmental Modelling & Software, 23 (5). 592-610 .

Kadioglu, S.Y. and Minion, M.L. and Klein, R. (2008) A Fourth-Order Auxiliary Variable Projection Method for Zero-Mach Number Gas Dynamics. Journal of Computational Physics , 227 (3). 2012-2043 .

Horenko, I. and Dolaptchiev, S. and Eliseev, A. and Mokhov, I. and Klein, R. (2008) Metastable Decomposition of High-Dimensional Meteorological Data with Gaps. Journal of the Atmospheric Sciences, 65 (11). pp. 3479-3496.

Petoukhov, V. and Eliseev, A. and Klein, R. and Oesterle, H. (2008) On the statistics of the free-troposphere synoptic component. Part I: An evaluation of skewnesses and estimation of the third-order moments contribution to the synoptic-scale dynamics and meridional fluxes of heat and humidity. Tellus, 60 (1). pp. 11-31.

Klein, R. (2008) An Unified Approach to Meteorological Modelling Based on Multiple-Scales Asymptotics. Advances in Geosciences, 15 . pp. 23-33.

Oevermann, M. and Klein, R. (2006) A cartesian grid finite volume method for the solution of the Poisson equation with variable coefficients and embedded interfaces. Journal of Computational Physics, 219 (2). 749-769 .

Oevermann, M. and Klein, R. (2006) A cartesian grid finite volume method for the solution of the Poisson equation with variable coefficients and embedded interfaces. JCP .

Klein, R. and Majda, A. J. (2006) Systematic Multiscale Models for Deep Convection on Mesoscales. Theoretical and Computational Fluid Dynamics, 20 (5-6). pp. 525-551. ISSN 0935-4964 (Print) 1432-2250 (Online)

Owinoh, A.Z. and Hunt, J. and Orr, A. and Clark, P. and Klein, R. and Fernando, H. and Nieuwstadt, F. (2005) Effects Of Changing Surface Heat Flux On Atmospheric Boundary-Layer Flow Over Flat Terrain. Boundary Layer Meterology, 116 (2). pp. 331-361.

Schmidt, H. and Klein, R. (2005) Flexible flame structure modelling in a flame front tracking scheme. Analysis and Numerics for Conservation Laws . pp. 405-427. ISSN 978-3-540-24834-7 (Print) 978-3-540-27907-5 (Online)

Klein, R. (2005) Multiple spacial scales in engineering and atmospheric low Mach number flows. ESAIM: Mathematical Modelling and Numerical Analysis (M2AN), 39 . pp. 537-559. ISSN 0764-583X

Helling, Ch. and Klein, R. and Woitke, P. and Nowak, U. and Sedlmayr, E. (2004) Dust in brown dwarfs. IV. Dust formation and driven turbulence on mesoscopic scales. Astronomy and astrophysics, 423 (2). pp. 657-675. ISSN 0004-6361

Klein, R. and Mikusky, E. and Owinoh, A.Z. (2004) Multiple Scales Asymptotics for Atmospheric Flows. Proceedings of the 4th European Conference on Mathematics .

Botta, N. and Klein, R. and Langenberg, S. and Lützenkirchen, S. (2004) Well Balanced Finite Volume Methods for Nearly Hydrostatic Flows. Journal of Computational Physics, 196 (2). pp. 539-565.

Klein, R. (2004) An applied mathematical view of meteorological modeling. Applied Mathematics Entering the 21st century; Invited talks from the ICIAM 2003 Congress., 116 . pp. 177-219.

Audusse, E. and Bouchut, F. and Bristeau, M.O. and Klein, R. and Perthame, B. (2004) A fast and stable well-balanced scheme with hydrostatic reconstruction for shallow water flows. Journal of Scientific Computation, 25 (6). pp. 2050-2065.

Munz , C.-D. and Roller , S. and Klein, R. and Geratz, K. J. (2003) The extension of incompressible flow solvers to the weakly compressible regime. Computers & fluids , 32 (2). 173-196 (31 ref.). ISSN 0045-7930

Majda, A.J. and Klein, R. (2003) Systematic Multiscale Models for the Tropics. Journal of Atmospheric Sciences, 60 . pp. 393-408.

Schmidt, H. and Klein, R. (2003) A generalized level-set/in-cell-reconstruction method for accelerating turbulent premixed flames. Combustion Theory and Modelling, 7 (2). 243-267(25).

Klein, R. (2002) Numerical Methods for High and Low Speed Combustion Simulations. Numerical Methods for High and Low Speed Combustion Simulations. PDE's in models of superfluidity, superconductivity and reactive flows, Nato S (569). pp. 491-506.

Klein, R. and Botta, N. and Schneider, T. and Munz, C.D. and Roller, S. and Meister, A. and Hoffmann, L. and Sonar, T. (2001) Asymptotic adaptive methods for multi-scale problems in fluid mechanics. Journal of Engineering Mathematics, 39 (1). pp. 261-343. ISSN 0022-0833 (Print) 1573-2703 (Online)

Helling, Ch. and Oevermann, M. and Lüttke, M. J. H. and Klein, R. (2001) Dust in Brown Dwarfs I. Dust formation under turbulent conditions on microscopic scales. Astronomy & Astrophysics, - (), 376 . pp. 194-212.

Schmidt, H. and Klein, R. (2001) Towards a Generalized Level-Set/In-Cell Reconstruction Approach for Accelerating Turbulent Premixed Flames.

Knio, O.M. and Klein, R. (2000) Improved Thin Tube Methods for Slender Vortex Simulations. Journal of Computational Physics, 162 (1). 68-82(15).

Klein, R. (2000) Asymptotic Analyses for Atmospheric Flows and the Construction of Asymptotically Adaptive Numerical Methods. ZAMM ·Zeitschrift für angewandte Mathematik und Mechanik, 80 (11-12). pp. 765-785. ISSN 0044-2267

Klein, R. and Münch, M. (2000) Models and Criteria for Prediction of Deflagration to Detonation Transition (DDT) in Hydrogen-Air-Steam Systems under Severe Accident Conditions. Numerical Techniques , 9, Reihe Energietechnik / Energy Technology. . pp. 83-102.

Klein, R. and Rehm, W. (2000) Models and Criteria for Prediction of Deflagration-to- Detonation Transition (DDT) in Hydrogen-Air-Steam Systems under Severe Accident Conditions. Schriften des Forschungszentrums Jülich, Energy Technology Series, 9 . ISSN ISBN 3-89336-258-4

Breitung, W. and Chan, C. and Dorofeev, S.B. and Eder, A. and Gelfand, B.E. and Heitsch, M. and Klein, R. and Malliakos, A. and Shepherd, J.E. and Studer, E. and Thibault, P. (2000) State of Art Report on Flame Acceleration and DDT in Nuclear Reactor Safety. OECD .

Reinecke , M. and Hillebrandt , W. and Niemeyer , J.C. and Klein, R. and Gröbl, A. (1999) A new model for deflagration fronts in reactive fluids. Astronomy and Astrophysics, 347 (1999A&A...347..724R). 724-733 . ISSN 0004-6361 (Print) 1432-0746 (Online)

Schneider, T. and Botta, N. and Geratz, K. J. and Klein, R. (1999) Extension of finite volume compressible flow solvers to multidimensional, variable density zero Mach number flows. J. Comput. Phys., 155 . pp. 248-286.

Worlikar, A.S. and Aniruddha, S. and Knio, O.M. and Klein, R. (1999) Numerical Study of the Effective Impedance of a Thermoacoustic Stack. Acta Acustica united with Acustica, 85 (4,). pp. 480-494. ISSN 1610-1928

Berkenbosch, A. and Kaasschieter, E. and Klein, R. (1998) Detonation capturing for stiff combustion chemistry. Combustion Theory and Modelling, 2 (3). 313-348(36).

Worlikar, A.S. and Knio, O.M. and Klein, R. (1998) Numerical Simulation of a Thermoacoustic Refrigerator II. Stratified Flow around the Stack. Journal of Computational Physics, 144 (2). 299-324(26).

Knio, O.M. and Ting, L. and Klein, R. (1998) Interaction of a Slender Vortex Filament with a Rigid Sphere: Dynamics and far-field noise. J. Acoustical Soc. of America, 103 (1). 83 -98. ISSN 0001-4966 (print)

Smiljanovski, V. and Moser, V. and Klein, R. (1997) A Capturing/Tracking Hybrid Scheme for Deflagration Discontinuities. Combustion Theory and Modelling, 1 (2). 183-215 .

Worlikar, A.S. and Knio, O.M. and Klein, R. (1997) Numerical Simulation of a Thermo-Acoustic Refrigerator. Vortex Flows and Related Numerical Methods II .

Klein, R. and Knio, O.M. and Ting, L. (1996) Representation of Core Dynamics in Slender Vortex Filament Simulations,. Physics of Fluids, 8 (9). 2415{-2425,.

Klein, R. and Ting, L. (1995) Theoretical and Experimental Studies of Slender Vortex Filaments. Applied Mathematics Letters, 8 (2). pp. 45-50.

Klein, R. (1995) Analysis of Accelerating Detonation Using Large Activation Energy Asymptotics. Journal de physique. IV , 5 (4). pp. 443-457. ISSN 1155-4339

Klein, R. and Knio, O.M. (1995) Asymptotic Vorticity Structure and Numerical Simulation of Slender Vortex Filaments. Journal of Fluid Mechanics, 284 . pp. 275-321. ISSN 0022-1120

Klein, R. (1995) The Level-Set Approach to Premixed Turbulent Combustion in the Flamelet Regime: Theory and Numerical Implementation. Euroconference "Premixed Turbulent Combustion: Introduction to the State of the Art" .

Klein, R. (1995) Semi-Implicit Extension of a Godunov-Type Scheme Based on Low Mach Number Asymptotics I: One-dimensional Flow,. Journal of Computational Physics, 121 (2). pp. 213-237. ISSN 0021-9991

Klein, R. and Majda, A. J. and Damodaran, K. (1995) Simplied Equations for the Interaction of Nearly Parallel 3-D Vortex Filaments,. Journal of Fluid Mechanics, 288 . 201-248 . ISSN 0022-1120

Klein, R. and Breitbach, H. and Geratz, K. J. and Senger, W. (1994) Surface erosion by high-speed combustion waves. Symposium (International) on Combustion, 25 (1). 95-102 .

Bdzil, J.B. and Klein, R. (1994) Weakly Nonlinear Dynamics of Near-CJ Detonation Waves, Combustion in High-Speed Flows. Combustion in High-Speed Flows, J. Buckmaster et al. (eds), . pp. 513-540. ISSN 978-0-7923-2806-3 (ISBN)

Klein, R. and Stewart, D.S., (1993) The Relation between Curvature, Rate-State Dependence and Detonation Velocity. SIAM Journal on Applied Mathematics, 53 (5). 1401-1435 .

Klein, R. and Majda, A. J. (1993) An Asymptotic Theory for the Nonlinear Instability of Anti- Parallel Pairs of Vortex Filaments. Physics of Fluids A, 5 . pp. 369-379. ISSN 0899-8213

Klein, R. and Majda, A. J. and McLaughlin, R.M. (1992) Asymptotic Equations for the Stretching of Vortex Filaments by a Background Flow Field. Physics of Fluids A, 4 . pp. 2271-2281. ISSN 0899-8213

Klein, R. and Ting, L. (1992) Vortex Filaments with Axial Core Structure Variation. Appl. Math. Lett., 5 . pp. 99-103.

Klein, R. and Majda, A. J. (1991) Self-Stretching of a Perturbed Vortex Filament I: The Asymptotic Equation for Deviations from a Straight Line. Physica D, 49 (3). pp. 323-352.

Klein, R. (1991) On the Dynamics of Weakly Curved Detonations. Institute for Mathematics and Its Applications, 35 . ISSN 0940-6573

Klein, R. (1991) On the Dynamics of Weakly Curved Detonations. IMA-Volumes in Mathematics and its Applications, 35 . ISSN 978-0-387-97583-2

Klein, R. and Ting, L. (1990) Far field velocity potential induced by a rapidly decaying vorticity distribution. Zeitschrift für Angewandte Mathematik und Physik (ZAMP), 41 (3). pp. 395-418. ISSN 0044-2275 (Print) 1420-9039 (Online)

Klein, R. and Munz , C.-D. and Schmidt, L. (1990) A Numerical Study of Interfacial Instabilities at High Mach Numbers. Notes on Numerical Fluid Mechanics, 29,, 29 . 242-251.

Maly, R.R. and Koenig, G. and Klein, R. and Peters, N. (1990) Theoretical and Experimental Investigation of Knock Induced Surface Destruction. SAE transactions, 99 (1), no3, pp. (1). 99-137 (62 ref.). ISSN 0096-736X

Klein, R. and Peters, N. (1988) Cumulative Effects of Weak Pressure Waves During the Induction Period of a Thermal Explosion in a Closed Cylinder. J. Fluid Mech., 187 . pp. 197-230.

Klein, R. (1988) Detonation Initiation Due to Shock Wave-Boundary Interactions. Notes on Numerical Fluid Mechanics, 24 . 279-288..

Klein, R. (1988) Shock Initiated Ignition in an L-shaped Duct: Two Aspects of its Numerical Simulation. Notes on Numerical Fluid Mechanics, 20 . pp. 138-145.

Achatz, U. and Ribstein, B. and Senf, F. and Klein, R. The interaction between synoptic-scale balanced flow and a finite-amplitude mesoscale wave field throughout all atmospheric layers: weak and moderately strong stratification. Quarterly Journal of the Royal Meteorological Society . (In Press)

Book Section

von Larcher, T. and Klein, R. (2019) Approximating turbulent and non-turbulent events with the Tensor Train decomposition method. In: Turbulent Cascades II. Springer. ISBN Print: 978-3-030-12546-2 Electronic: 978-3-030-12547-9

Tornow, G. and Klein, R. (2018) A 1D Multi-Tube Code for the Shockless Explosion Combustion. In: Notes on Numerical Fluid Mechanics and Multidisciplinary Design, Active Flow and Combustion Control 2018. Springer International Publishing, pp. 321-335. ISBN ISBN 978-3-319-98177-2

Zander, L. and Tornow, G. and Klein, R. and Djordjevic, N. (2018) Knock Control in Shockless Explosion Combustion by Extension of Excitation Time. In: Active Flow and Combustion Control 2018. Springer International Publishing. ISBN 978-3-319-98176-5

Nadolski, M. and Rezay Haghdoost, M. and Gray, J.A.T. and Edgington-Mitchell, D. and Oberleithner, K. and Klein, R. (2018) Validation of numerical simulations by the exhaust flow of a PDC based high speed schlieren. In: Notes on Numerical Fluid Mechanics and Multidisciplinary Design Active Flow and Combustion Control 2018. Notes on Numerical Fluid Mechanics and Multidisciplinary Design book series (NNFM, 141 . Springer International Publishing, pp. 237-253. ISBN 978-3-319-98176-5

Waidmann, M. and Gerber, S. and Oevermann, M. and Klein, R. (2017) Building Blocks for a Strictly Conservative Generalized Finite Volume Projection Method for Zero Mach Number Two-Phase Flows. In: Transport Processes at Fluidic Interfaces. Springer International Publishing AG, pp. 93-119.

Klein, R. (2017) Scale Analysis of Compressible Flows from an Application Perspective. In: Handbook of Mathematical Analysis in Mechanics of Viscous Fluids. Springer, pp. 1-42. ISBN 978-3-319-10151-4

Bobusch, B. and Berndt, P. and Paschereit, O. C. and Klein, R. (2015) Investigation of fluid devices for mixing enhancemet for the shockless explosion combustion process. In: Active Flow and Combustion Control. Springer International Publishing. ISBN 978-3-319-11966-3 (Print) 978-3-319-11967-0 (Online)

Metzner, Ph. and Waidmann, M. and Igdalov, D. and von Larcher, T. and Horenko, I. and Klein, R. and Beck, A. and Gassner, G. (2015) A stochastic closure approach for LES with application to turbulent channel flow. In: Direct and Large-Eddy Simulation IX. ERCOFTAC Series, 20 . Springer. ISBN 978-3-319-14448-1

Waidmann, M. and Gerber, S. and Oevermann, M. and Klein, R. (2014) A Conservative Coupling of Level-Set, Volume-of-Fluid and Other Conserved Quantities. In: Finite Volumes for Complex Applications VII Methods and Theoretical Aspects. Proceedings in Mathematics & Statistics, 77 . Springer , pp. 457-465. ISBN 978-3-319-05683-8

von Larcher, T. and Klein, R. and Horenko, I. and Metzner, Ph. and Waidmann, M. and Igdalov, D. and Beck, A. and Gassner, G. and Munz , C.-D. (2014) Towards a stochastic closure approach for Large Eddy Simulation. In: Finite Volumes for Complex Applications VII-Elliptic, Parabolic and Hyperbolic Problems. Springer International Publishing, pp. 883-890. ISBN ISBN 978-3-319-06402-4

Münch, M. and Klein, R. (2012) CFD at its Limits: Scaling Issues, Uncertain Data, and the User's Role. In: Process and Plant Safety, Applying Computational Fluid Dynamics. Wiley-VCH Verlag GmbH & Co.KGaA, pp. 189-212. ISBN 978-3-527-33027-0

Klein, R. and Vater, S. and Paeschke, E. and Ruprecht, D. (2011) Multiple scales methods in meteorology. In: Asymptotic Methods in Fluid Mechanics: Survey and Recent Advances. CISM International Centre for Mechanical Sciences, 523 . Springer Verlag, pp. 127-196. ISBN 978-3-7091-0407-1

Münch, M. and Belaschk, H.C. and Klein, R. (2011) Numerische Simulation im Brandschutz - Zwischen Theorie und Praxis. In: Bauphysik-Kalender 2011. Ernst & Sohn Verlag für Architektur und technische Wissenschaften GmbH & Co. KG, Berlin, pp. 159-197. ISBN ISBN 978-3-433-02965-7

Klein, R. and Aigner, H. (Hrsg) and Behrends, E. (Hrsg) (2009) Mathematik im Klima des globalen Wandels. In: Alles Mathematik. 3, überarb. Aufl. . Vieweg+Teubner, p. 241. ISBN 978-3-8348-0416-7

Ting, L. and Klein, R. and Knio, O.M. (2007) Vortex Dominated Flows: Analysis and Computation for Multiple Scales. In: Series in Applied Mathematical Sciences. Springer Verlag. ISBN 978-3-540-68581-4

Klein, R. (2006) Theoretical Developments in Tropical Meteorology. In: Theoretical and Computational Fluid Dynamics. Springer Verlag.

Klein, R. (1999) Numerics in Combustion. In: Introduction to Turbulent Combustion. Lecture Series . von Karman Institute for Fluid Dynamics, Brussels, Belgium.

Ting, L. and Klein, R. (1991) Viscous Vortical Flows. In: Lecture Notes in Physics. Springer Verlag. ISBN 0387537139

Monograph

Ruprecht, D. and Klein, R. and Majda, A. J. (2009) Moisture - Gravity Wave Interactions in a Multiscale Environment. Technical Report. Konrad Zuse Zentrum Berlin.

Vater, S. and Klein, R. (2007) Stability of a Cartesian grid projection method for zero Froude number shallow water flows. Technical Report. Konrad-Zuse-Zentrum für Informationstechnik Berlin (ZIB).

Münch, M. and Schmidt, H. and Klein, R. (1999) Tracking Flame Fronts with Dynamic Internal Structure. Modelling of reaction fronts at the interface of mathematics physics and chemistry. Technical Report. Universite Claude Bernard, Lyon, France.

Botta, N. and Klein, R. and Almgren, A. (1999) Dry Atmosphere Asymptotics. Technical Report. PIK Report, Summary Report No. 55.

Klein, R. and Breitbach, H. and Terhoeven, P. and Munz, C.-D. and Roller, S. (1998) Numerical Techniques for Multi-Scale Weakly Compressible Reactive Flows. Technical Report. Vieweg, Numerical Flow Simulation I.

Conference or Workshop Item

Harikrishnan, A. P. and Ansorge, C. and Klein, R. and Vercauteren, N. (2020) The curious nature of hairpin vortices. Gallery of Fluid Motion. In: 73th Annual Meeting of the APS Division of Fluid Dynamics, November 22, 2020 — November 24, 2020, Chicago, IL Virtual.

Haghdoost, M.R. and Thethy, B.S. and Nadolski, M. and Klein, R. and Honnery, D. and Hennington- Mitchell, D. and Seo, B. and Oberleithner, K. and Paschereit, O. (2020) Evaluation of Shock Dividers using Numerical and Experimental Methods. In: AIAA SciTech.

Schäpel, J.S. and King, R. and Yücel, F. and Völzke, F. and Paschereit, O. C. and Klein, R. (2018) Fuel injection control for a valve array in a Shockless Explosion Combustor. In: ASME Turbo Expo 2018: Turbomachinery Technical Conference and Exposition, June 11–15, 2018, Oslo, Norway.

Gerber, S. and Münch, M. and Plagge, M. and Kermas, P. and Klein, R. (2017) Konvergenzverhalten von fvDOM-Strahlungsmodellen. In: 5. Magdeburger Brand- und Explosionsschutztage, 23.-24.3.17.

Rähse, T.S. and Paschereit, C. O. and Stathopoulos, P. and Berndt, P. and Klein, R. (2017) Gas dynamic simulation of shockless explosion combustion for gas turbine power cycles. In: ASME Turbo-Expo 2017.

Berndt, P. and Klein, R. and Paschereit, O. C. (2016) A Kinetics Model For The Shockless Explosion Combustion. In: Turbo Expo Turbomachinery Technical Conference & Exposition, June 13 – 17, 2016 , COEX Convention Center, SEOUL SOUTH KOREA.

Gray, J. and Vinkeloe, J. and Berndt, P. and Moeck, J. and Paschereit, O. C. and Klein, R. and Stathopoulos, P. (2016) Thermodynamic Evaluation of Pulse Detonation Combustion for Gas Turbine Power Cycles. In: Turbo Expo Turbomachinery Technical Conference & Exposition, June 13 – 17, 2016, COEX Convention Center, SEOUL SOUTH KOREA.

Dolaptchiev, S. and Klein, R. (2016) A multi-scale model for the planetary and synoptic motions in the atmosphere. In: Annual Meeting of the European Geophysical Union, 2016, Frankfurt. (Unpublished)

Klein, R. and Benacchio, T. and O'Neill, W.P. (2014) Using the sound-proof limit for balanced data initialization. In: ECMWF Seminar on Numerical Methods for Atmosphere and Ocean Modelling, 2-5 September 2013, Reading, UK.

Bobusch, B. and Berndt, P. and Paschereit, O. C. and Klein, R. (2013) Shockless explosion combustion - An innovative way of efficient constant volume combustion in gas turbines. In: 24th ICDERS Conference Proceedings, , 2013, Taipei, Taiwan.

Audusse, E. and Klein, R. and Nguyen, D.D. and Vater, S. (2011) Preservation of the discrete geostrophic equilibrium in shallow water flows. In: Finite Volumes for Complex Applications VI - Problems& Perspectives, 6.6.-10.6. 2011, Prague, Czech Republic.

Vater, S. and Klein, R. and Knio, O.M. (2011) Scale-selective time integration for Long-Wave Linear Acoustics. In: Finite Volumes for Complex Applications VI - Problems & Perspectives, 6.6.-10.6. 2011, Prague, Czech Republic.

Klein, R. (2010) On the regime of validity of sound-proof model equations for atmospheric flows. In: ECMWF, Non-hydrostatic Modelling Workshop, November 2010, Reading UK.

von Larcher, T. and Klein, R. (2009) Multiple Scales in Fluid Dynamics and Meteorology - The DFG Priority Programme 1276 MetStröm. In: Newton Institute Scoping Meeting on Multi-scale Modelling of the Atmosphere and Ocean , 25-26 March 2009, University of Reading, UK.

Münch, M. and Klein, R. (2008) Critical numerical aspects for field model applications. In: EUSAS conference on "Fire Safety Engineering and Smoke Control in Buildings", January 22-23, 2007, Vienna, Austria.

Moeck, J. and Oevermann, M. and Paschereit, O. C. and Klein, R. and Schmidt, H. (2008) Experimental and Numerical investigation of thermoacoustical instabilities in a flat flame burner. In: 32nd International Symposium on Combustion, August 3-8, 2008, Montreal, Canada. (Submitted)

Münch, M. and Gebauer, J. and Klein, R. (2008) Verification and Validation of CFD Models for Smoke Spreading Predictions. In: 9th Int. IAFSS Symposium , 21 - 26. Sept. 2008, Karlsruhe.

Dolaptchiev, S. and Klein, R. (2007) Model Equations For Atmospheric Motions on Planetary Scales. In: European Geosciences Union, Vienna.

Schmidt, H. and Veynante, D. and Klein, R. (2007) A Modular Two Scale Capturing/Tracking Scheme for Turbulent Premixed Flames. In: 21th Intl. Colloquium on the Dynamics of Explosions and Reactive Systems, 2007, Poitiers.

Klein, R. (2007) A Unified Approach to Meteorological Modelling based on Multiple Scales Asymptotics. In: European Geosciences Union, Vienna.

Moeck, J. and Schmidt, H. and Oevermann, M. and Paschereit, O. C. and Klein, R. (2007) An asymptotically motivated hyrodynamic-acoustic two-way coupling for modeling thermoacoustic instabilities in a Rijke tube. In: Fourteenth Intl. Congress on Sound and Vibration (ICSV14), , 9-12 July 2007, Cairns, Australia, (2007).

Ruprecht, D. and Majda, A. J. and Klein, R. (2007) A multiscale model for the interaction of bulk microscale hot towers with convective scale motions. In: European Geosciences Union, General Assembly 2007, 15 – 20 April 2007, Vienna.

Schmidt, H. and Klein, R. (2006) Extension of a front capturing/tracking scheme for premixed flames to a novel type of two scale turbulence modeling. In: Proc. SIAM Conference on Numerical Combustion, April 23 - 26, 2006, Granada, Spain.

Schmidt, H. and Oevermann, M. and Münch, M. and Klein, R. (2006) Flame Front Capturing/Tracking Methods for Zero Mach Number Combustion. In: 31th Int. Symp. on Combustion, Aug 6-11, 2006, The Combustion Institute, Heidelberg.

Münch, M. and Schmidt, H. and Oevermann, M. and Klein, R. (2006) Numerical Investigation of the Baroclinic Torque in the Context of Smoke Spread. In: 31th Int. Symp. on Combustion, Aug. 6-11, 2006, The Combustion Institute, Heidelberg.

Vater, S. and Klein, R. (2006) Stability of a Projection Method for the Zero Froude Number Shallow Water Equations. In: Eleventh International Conference on Hyperbolic Problems Theory, Numerics, Applications, July 17-21, 2006, École Normale Supérieure de Lyon, France.

Schmidt, H. and Münch, M. and Klein, R. and Oevermann, M. (2006) A Zero Mach Number Projection Method Coupled To External Acoustics. In: 77th Annual Meeting of the Gesellschaft für Angewandte Mathematik und Mechanik e.V., March 27-31, 2006, TU-Berlin.

Klein, R. and Schmidt, H. and Carqué, G. and Münch, M. and Oevermann, M. (2005) Mehrskalen-asymptotische Verfahren zur Kontrolle thermoakustischer Prozesse in Brennkammern. In: SFB 557, Teilprojekt B8, 17. März 2005, Berlin. (Unpublished)

Mikusky, E. and Owinoh, A.Z. and Klein, R. (2005) On the influence of diabatic effects on the motion of 3D-mesoscale vortices within a baroclinic shear flow. In: Third MIT Conference on Computational Fluid and Solid Mechanics, June 14-17, 2005.

Klein, R. and Botta, N. and Owinoh, A.Z. (2001) Distinguished limits, multiple scales asymptotics, and numerics for atmospheric flows. In: 13th Conference on Atmospheric and Oceanic Fluid Dynamics, July 2001, American Meteorological Society, Breckenridge, Colorado.

Botta, N. and Klein, R. and Almgren, A. (2000) Asymptotic Analysis of a Dry Atmosphere. In: Proc. 3rd Europ. Conf. on Num. Math., Jyväskylä, Finland.

Klein, R. and Breitung, W. and Coe, I. and Grönig, H. and He, L. and Olivier, H. and Rehm, W. and Studer, E. and Vendel, J. (1999) Models and Criteria for Prediction of Deflagration-to-Detonation Transition(DDT) in Hydrogen-Air-Steam Systems under Severe Accident Conditions. In: Fission Safety (FISA 99), European Commission, 1999.

Schneider, T. and Klein, R. (1999) Overcoming Mass Losses in Level-Set-Based Interface Tracking Schemes. In: 2nd International Conference on Finite Volume for Complexe Application, 1999.

Klein, R. and Breitung, W. and Coe, I. and Grönig, H. and He, L. and Olivier, H. and Rehm, W. and Studer, E. and Vendel, J. (1998) Models and Criteria for Prediction of Deflagration-to-Detonation Transition(DDT) in Hydrogen-Air-Steam Systems under Severe Accident Conditions. In: Fission Safety (FISA 98), European Commission, 1998.

Worlikar, A.S. and Knio, O.M. and Klein, R. (1997) Numerical simulation of acoustically-generated temperature gradients in short thermoacoustics stacks: A validation study. In: 32nd National Heat Transfer Conference, Heat Transfer--Baltimore, 214, August 10-12, 1997, Baltimore.

Smiljanovski, V. and Klein, R. (1994) Flame Front Tracking via in-Cell Reconstruction. In: Proceedings of 5th International Conference on Hyperbolic Systems, June 1994, SUNY Stony Brook.

Munz, C.-D. and Klein, R. (1994) The Multiple Pressure Variable Approach for the Numerical Approximation of Weakly Compressible Fluid Flow. In: Proc. Intl. Conf. on Numerical Methods for Fluid Flows, Prag, June 1994.

Klein, R. and Lange, K. and Willems, W. and Munz, C.-D. (1994) Semi-Implicit High Resolution Schemes for Low Mach Number Flows. In: Proceedings of 5th International Conference on Hyperbolic Systems, June 1994, SUNY Stony Brook.

Book

Münch, M. and Belaschk, H.C. and Klein, R. (2015) Grundlagen der Brandsimulation - Einführung in die übergeordneten Zusammenhänge. Bauphysik-Kalender 2015 : Schwerpunkt: Simulations- und Berechnungsverfahren . Ernst, Wilhelm & Sohn, Berlin. ISBN 978-3-433-03105-6

Schmidt, H. and Oevermann, M. and Münch, M. and Klein, R. (2006) Flame front capturing/tracking schemes for compressible and incompressible reactive flow. TU Delft, The Netherlands , Proceedings of the European Conference on Computational Fluid Dynamics (ECCOMAS CFD). ISBN 90-9020970-0

Thesis

Klein, R. (1994) Zur Dynamik schlanker Wirbel. PhD thesis, RWTH Aachen.

Klein, R. (1988) Stoßinduzierte Zündung und der Übergang zur Detonation in engen Spalten. PhD thesis, RWTH Aachen.

Klein, R. (1985) Kumulative Effekte aufgrund schwacher Druckwellen bei der Kompression eines reagierenden Gasgemisches. PhD thesis, RWTH Aachen.