Browse by Authors

2019

Vater, S. and Beisiegel, N. and Behrens, J. (2019) A limiter‐based well‐balanced discontinuous Galerkin method for shallow‐water flows with wetting and drying: Triangular grids. International Journal for Numerical Methods in Fluids, 91 (8). pp. 395-418.

Ulrich, T. and Vater, S. and Madden, E. H. and Behrens, J. and van Dinther, Y. and van Zelst, I. and Fielding, E. J. and Liang, C. and Gabriel, A.-A. (2019) Coupled, Physics-Based Modeling Reveals Earthquake Displacements are Critical to the 2018 Palu, Sulawesi Tsunami. Pure and Applied Geophysics, 176 . pp. 4069-4109. ISSN 0033-4553 (Print) 1420-9136 (Online)

2018

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

2017

Vater, S. and Beisiegel, N. and Behrens, J. (2017) Comparison of Wetting and Drying Between a RKDG2 Method and Classical FV Based Second-Order Hydrostatic Reconstruction. In: Finite Volumes for Complex Applications VIII -- Hyperbolic, Elliptic and Parabolic Problems. Springer, pp. 237-245.

Jeschke, A. and Pedersen, G.K. and Vater, S. and Behrens, J. (2017) Depth‐averaged non‐hydrostatic extension for shallow water equations with quadratic vertical pressure profile: equivalence to Boussinesq‐type equations. International Journal for Numerical Methods in Fluids, 84 (109710). pp. 569-583. ISSN 1097-0363

Jeschke, A. and Vater, S. and Behrens, J. (2017) A Discontinuous Galerkin Method for Non-hydrostatic Shallow Water Flows. In: Finite Volumes for Complex Applications VIII -- Hyperbolic, Elliptic and Parabolic Problems. Springer, pp. 247-255. ISBN Print: 978-3-319-57393-9 Online: 978-3-319-57394-6

2016

Drähne, U. and Goseberg, N. and Vater, S. and Beisiegel, N. and Behrens, J. (2016) An Experimental and Numerical Study of Long Wave Run-Up on a Plane Beach. J. Mar. Sci. Eng., 4 (1). ISSN EISSN 2077-1312

2015

Vater, S. and Beisiegel, N. and Behrens, J. (2015) A limiter-based well-balanced discontinuous Galerkin method for shallow-water flows with wetting and drying: One-dimensional case. Advances in Water Resources, 85 . pp. 1-13. ISSN 0309-1708

2014

Vater, S. and Behrens, J. (2014) Well-Balanced Inundation Modeling for Shallow-Water Flows with Discontinuous Galerkin Schemes. In: Finite Volumes for Complex Applications VII-Elliptic, Parabolic and Hyperbolic Problems. Springer Proceedings in Mathematics & Statistics, 78 . Springer, pp. 965-973. ISBN 978-3-319-05590-9; Online: 978-3-319-05591-6

2011

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

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) A Scale-selective Multilevel Method for Long-Wave Linear Acoustics. Acta Geophysica, 59 (6). pp. 1076-1108.

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.

2009

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.

2007

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).

2006

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.

2005

Vater, S. (2005) A New Projection Method for the Zero Froude Number Shallow Water Equations. Technical Report. Potsdam Institute for Climate Impact Research.