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High resolution schemes for hyperbolic conservation laws

Journal Article · · Journal of Computational Physics
 [1]
  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, Journal Name: Journal of Computational Physics Journal Issue: 2 Vol. 135; ISSN JCTPAH; ISSN 0021-9991
Country of Publication:
United States
Language:
English

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