6533b828fe1ef96bd12879a2
RESEARCH PRODUCT
A numerical study of postshock oscillations in slowly moving shock waves
Youssef StiribaRosa Donatsubject
PhysicsShock capturing schemesSlowly moving shocksMechanicsMoving shockFlux split methodsComputational MathematicsNonlinear systems of conservation lawsNumerical noiseComputational Theory and MathematicsModeling and SimulationModelling and SimulationCompressible flowsEntropy (energy dispersal)description
Abstract Godunov-type methods and other shock capturing schemes can display pathological behavior in certain flow situations. This paper discusses the numerical anomaly associated to slowly moving shocks. We present a series of numerical experiments that illustrate the formation and propagation of this pathology, and allows us to establish some conclusions and question some previous conjectures for the source of the numerical noise. A simple diagnosis on an explicit Steger-Warming scheme shows that some intermediate states in the first time steps deviate from the true direction and contaminate the flow structure. A remedy is presented in the form of a new flux split method with an entropy intermediate state that dissipates the oscillations to a numerically acceptable level, and fix or reduce a variety of numerical pathologies.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2003-09-01 | Computers & Mathematics with Applications |