ARBITRARILY HIGH-ORDER ACCURATE ENTROPY STABLE ESSENTIALLY NONOSCILLATORY SCHEMES FOR SYSTEMS OF CONSERVATION LAWS
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 cel...
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| Veröffentlicht in: | SIAM journal on numerical analysis 2012-01, Vol.50 (2), p.544-573 |
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| container_title | SIAM journal on numerical analysis |
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| creator | FJORDHOLM, ULRIK S. MISHRA, SIDDHARTHA TADMOR, EITAN |
| description | 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. |
| doi_str_mv | 10.1137/110836961 |
| format | Article |
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| subjects | Accuracy Applied mathematics Approximation Conservation laws Entropy Essentially non oscillatory schemes Euler equations Mathematical functions Mathematical vectors Methods Scalars Shallow water equations |
| title | ARBITRARILY HIGH-ORDER ACCURATE ENTROPY STABLE ESSENTIALLY NONOSCILLATORY SCHEMES FOR SYSTEMS OF CONSERVATION LAWS |
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