期刊
SIAM JOURNAL ON NUMERICAL ANALYSIS
卷 50, 期 2, 页码 544-573出版社
SIAM PUBLICATIONS
DOI: 10.1137/110836961
关键词
entropy stability; ENO reconstruction; sign property; high-order accuracy
资金
- National Science Foundation [10-08397]
- Office of Naval Research [ONR N000141210318]
- Division Of Mathematical Sciences
- Direct For Mathematical & Physical Scien [1008397] Funding Source: National Science Foundation
We design arbitrarily high-order accurate entropy stable schemes for systems of conservation laws. The schemes, termed TeCNO schemes, are based on two main ingredients: (i) high-order accurate entropy conservative fluxes and (ii) suitable numerical diffusion operators involving ENO reconstructed cell-interface values of scaled entropy variables. Numerical experiments in one and two space dimensions are presented to illustrate the robust numerical performance of the TeCNO schemes.
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