Search results for "Godunov's scheme"

showing 2 items of 2 documents

Fine-Mesh Numerical Simulations for 2D Riemann Problems with a Multilevel Scheme

2001

The numerical simulation of physical problems modeled by systems of conservation laws can be difficult due to the occurrence of discontinuities and other non-smooth features in the solution.

Conservation lawComputer simulationAdaptive mesh refinementGodunov's schemeClassification of discontinuitiesTopologyRiemann solversymbols.namesakeRiemann problemMesh generationsymbolsApplied mathematicsComputer Science::DatabasesMathematics
researchProduct

Capturing Shock Reflections: An Improved Flux Formula

1996

Godunov type schemes, based on exact or approximate solutions to the Riemann problem, have proven to be an excellent tool to compute approximate solutions to hyperbolic systems of conservation laws. However, there are many instances in which a particular scheme produces inappropriate results. In this paper we consider several situations in which Roe's scheme gives incorrect results (or blows up all together) and we propose an alternative flux formula that produces numerical approximations in which the pathological behavior is either eliminated or reduced to computationally acceptable levels.

Numerical AnalysisConservation lawPhysics and Astronomy (miscellaneous)Applied MathematicsMathematical analysisGodunov's schemeType (model theory)Hyperbolic systemsComputer Science ApplicationsShock (mechanics)Roe solverComputational Mathematicssymbols.namesakeRiemann problemModeling and SimulationScheme (mathematics)symbolsMathematicsJournal of Computational Physics
researchProduct