Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
522433 | Journal of Computational Physics | 2007 | 30 Pages |
Abstract
A characteristic feature of hyperbolic systems of balance laws is the existence of non-trivial equilibrium solutions, where the effects of convective fluxes and source terms cancel each other. Recently a number of so-called well-balanced schemes were developed which satisfy a discrete analogue of this balance and are therefore able to maintain an equilibrium state. In most cases, applications treated equilibria at rest, where the flow velocity vanishes. Here we present a new very high-order accurate, exactly well-balanced finite volume scheme for moving flow equilibria. Numerical experiments show excellent resolution of unperturbed as well as slightly perturbed equilibria.
Related Topics
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Computer Science Applications
Authors
Sebastian Noelle, Yulong Xing, Chi-Wang Shu,