The use of classical Lax–Friedrichs Riemann solvers with discontinuous Galerkin methods
Copyright policy )The use of classical Lax–Friedrichs Riemann solvers with discontinuous Galerkin methods
AbstractWhile conducting a von Neumann stability analysis of discontinuous Galerkin methods we discovered that the classic Lax–Friedrichs Riemann solver is unstable for all time‐step sizes. We describe a simple modification of the Riemann solver's dissipation returns the method to stability. Furthermore, the method has a smaller truncation error than the corresponding method with an upwind flux for the RK2‐DG(1) method. These results are verified upon testing. Copyright © 2002 John Wiley & Sons, Ltd.
- University of North Texas United States
- Los Alamos National Laboratory United States
- University of North Texas System United States
General Physics, Lax-Friedrichs Riemann solver, Testing, Computing, Modifications, von Neumann stability analysis, modified Riemann solver, 99 General And Miscellaneous//Mathematics, Finite difference methods applied to problems in fluid mechanics, discontinuous Galerkin methods, And Information Science, 71 Classical And Quantum Mechanics, Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs, Stability, RK2-DG(1) method
General Physics, Lax-Friedrichs Riemann solver, Testing, Computing, Modifications, von Neumann stability analysis, modified Riemann solver, 99 General And Miscellaneous//Mathematics, Finite difference methods applied to problems in fluid mechanics, discontinuous Galerkin methods, And Information Science, 71 Classical And Quantum Mechanics, Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs, Stability, RK2-DG(1) method
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