期刊
COMMUNICATIONS IN COMPUTATIONAL PHYSICS
卷 8, 期 5, 页码 1242-1263出版社
GLOBAL SCIENCE PRESS
DOI: 10.4208/cicp.250509.211009a
关键词
TWENO scheme; hyperbolic conservation laws; highly oscillatory problem; finite difference scheme
资金
- NSFC [10671091, 10811120283]
- European project ADIGMA
- USA NSF [DMS-0820348]
In this paper, we use trigonometric polynomial reconstruction, instead of algebraic polynomial reconstruction, as building blocks for the weighted essentially non-oscillatory (WENO) finite difference schemes to solve hyperbolic conservation laws and highly oscillatory problems. The goal is to obtain robust and high order accurate solutions in smooth regions, and sharp and non-oscillatory shock transitions. Numerical results are provided to illustrate the behavior of the proposed schemes.
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