A wave propagation method for three-dimensional hyperbolic conservation
J.O. Langseth and R.J. LeVeque
A class of wave propagation algorithms for three-dimensional conservation laws
is developed. These unsplit finite volume methods are based on solving
one-dimensional Riemann problems at the cell interfaces and applying
flux-limiter functions to suppress oscillations arising from second derivative
terms. Waves emanating from the Riemann problem are further split by solving
Riemann problems in the transverse direction to model cross-derivative
terms. Due to proper upwinding, the method is stable for Courant numbers up to
one. Several examples using the Euler equations are included.
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- A wave propagation method for three-dimensional hyperbolic conservation
- J.O. Langseth,
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January 28 1997.
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Last modified: Tue Jan 28 09:41:56 1997