High resolution schemes for hyperbolic conservation laws

Journal Article · Fri Aug 01 00:00:00 EDT 1997 · Journal of Computational Physics

DOI:https://doi.org/10.1006/jcph.1997.5713· OSTI ID:621433

Harten, A ^[1]

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1. Tel-Aviv Univ., Ramat Aviv (Israel)

A class of new explicit second order accurate finite difference schemes for the computation of weak solutions of hyperbolic conservation laws is presented. These highly nonlinear schemes are obtained by applying a nonoscillatory first order accurate scheme to an appropriately modified flux function. The so-derived second order accurate schemes achieve high resolution while preserving the robustness of the original nonoscillatory first order accurate scheme. Numerical experiments are presented to demonstrate the performance of these new schemes. 19 refs., 9 figs.

• DOE Contract Number: AC02-76ER03077
• OSTI ID: 621433
• Journal Information: Journal of Computational Physics, Vol. 135, Issue 2; Other Information: PBD: Aug 1997
• Country of Publication: United States
• Language: English

Related Subjects

99 MATHEMATICS
COMPUTERS
INFORMATION SCIENCE
MANAGEMENT
LAW
MISCELLANEOUS
66 PHYSICS
CONSERVATION LAWS
FINITE DIFFERENCE METHOD
NONLINEAR PROBLEMS
RIEMANN FUNCTION
CONVERGENCE
SHOCK WAVES