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Article

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)

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

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

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

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

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

Book Section

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 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

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

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

Monograph

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).

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

Conference or Workshop Item

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.

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.