Title | ||
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Arbitrarily High-order Accurate Entropy Stable Essentially Nonoscillatory Schemes for Systems of Conservation Laws |
Abstract | ||
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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. |
Year | DOI | Venue |
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2012 | 10.1137/110836961 | SIAM J. Numerical Analysis |
Keywords | Field | DocType |
main ingredient,arbitrarily high-order accurate entropy,conservation law,tecno scheme,accurate entropy stable scheme,cell-interface value,numerical experiment,suitable numerical diffusion operator,accurate entropy conservative flux,conservation laws,nonoscillatory schemes,entropy variable,robust numerical performance | Mathematical optimization,Mathematical analysis,Numerical diffusion,Entropy stability,Operator (computer programming),Mathematics,Conservation law | Journal |
Volume | Issue | ISSN |
50 | 2 | 0036-1429 |
Citations | PageRank | References |
39 | 3.02 | 3 |
Authors | ||
3 |
Name | Order | Citations | PageRank |
---|---|---|---|
Ulrik S. Fjordholm | 1 | 73 | 9.95 |
Siddhartha Mishra | 2 | 170 | 21.36 |
Eitan Tadmor | 3 | 796 | 163.63 |