Title
Arbitrarily High-order Accurate Entropy Stable Essentially Nonoscillatory Schemes for Systems of Conservation Laws
Abstract
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
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. Fjordholm1739.95
Siddhartha Mishra217021.36
Eitan Tadmor3796163.63