ENO and WENO Schemes with the Exact Conservation Property for One-Dimensional Shallow Water Equations

Author:

Vukovic Senka,Sopta Luka

Publisher

Elsevier BV

Subject

Computer Science Applications,Physics and Astronomy (miscellaneous),Applied Mathematics,Computational Mathematics,Modeling and Simulation,Numerical Analysis

Reference26 articles.

1. D. S. Balsara, and, C.-W. Shu, Monotonicity preserving weighted essentially nonoscillatory schemes with increasingly high order of accuracy, J. Comput. Phys. 160, 405, 2000,

2. Upwind schemes for the two-dimensional shallow water equations with variable depth using unstructured meshes;Bermùdez;Comput. Methods Appl. Mech. Eng.,1998

3. Upwind methods for hyperbolic conservation laws with source terms;Bermùdez;Comput. Fluids,1994

4. R. Botchorishvilli, B. Pertham, and, A. Vasseur, Equilibrium Schemes for Scalar Conservation Laws with Stiff Sources, Report DMA 00 -16, Département de mathématique et applications (DMA), École normale supérieure, Paris, 2000.

5. A. Chinnayya, and, A.-Y. LeRoux, A New General Riemann Solver for the Shallow Water Equations, with Friction and Topography, University Bordeaux I, Department of Mathematics, 1999.

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