A kinetic flux vector splitting scheme for shallow water equations incorporating variable bottom topography and horizontal temperature gradients-Reference-Cited by-同舟云学术

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A kinetic flux vector splitting scheme for shallow water equations incorporating variable bottom topography and horizontal temperature gradients

Published:2018-05-31 Issue:5 Volume:13 Page:e0197500
ISSN:1932-6203
Container-title:PLOS ONE
language:en
Short-container-title:PLoS ONE

Author:

Saleem M. Rehan^ORCID,Ashraf Waqas,Zia Saqib,Ali Ishtiaq,Qamar Shamsul

Publisher

Public Library of Science (PLoS)

Subject

Multidisciplinary

Reference50 articles.

1. Central-upwind schemes for the Saint-Venant system;A Kurganov;ESAIM: Math. Model. and Num. Anal,2002

2. A second-order well-balanced positivity preserving central-upwind scheme for the Saint-Venant system;A Kurganov;Commun. in Math. Sci,2007

3. A kinetic scheme for the Saint-Venant system with a source term;B Perthame;Calcolo,2001

4. Toro EF. Shock-capturing methods for free-surface shallow flows. (2001).

5. On improving a one-layer ocean model with thermodynamics;P Ripa;J. Fluid Mech,1995

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1. A well-balanced moving mesh discontinuous Galerkin method for the Ripa model on triangular meshes;Journal of Computational Physics;2023-08

2. Well-Balanced and Positivity-Preserving Surface Reconstruction Schemes Solving Ripa Systems With Nonflat Bottom Topography;SIAM Journal on Scientific Computing;2022-09-26

3. A Well-Balanced Moving Mesh Discontinuous Galerkin Method for the Ripa Model on Triangular Meshes;SSRN Electronic Journal;2022

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