ENTROPY STABLE APPROXIMATIONS OF NAVIER–STOKES EQUATIONS WITH NO ARTIFICIAL NUMERICAL VISCOSITY
2006 ◽
Vol 03
(03)
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pp. 529-559
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Keyword(s):
We construct a new family of entropy stable difference schemes which retain the precise entropy decay of the Navier–Stokes equations, [Formula: see text] To this end we employ the entropy conservative differences of [24] to discretize Euler convective fluxes, and centered differences to discretize the dissipative fluxes of viscosity and heat conduction. The resulting difference schemes contain no artificial numerical viscosity in the sense that their entropy dissipation is dictated solely by viscous and heat fluxes. Numerical experiments provide a remarkable evidence for the different roles of viscosity and heat conduction in forming sharp monotone profiles in the immediate neighborhoods of shocks and contacts.
2018 ◽
Vol 339
◽
pp. 160-183
Keyword(s):
2018 ◽
Vol 16
(8)
◽
pp. 2095-2124
2007 ◽
Vol 224
(2)
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pp. 1064-1094
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2013 ◽
Vol 251
◽
pp. 251-271
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2014 ◽
Vol 36
(5)
◽
pp. B835-B867
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Keyword(s):
2020 ◽
Vol 1
(2)
◽
Keyword(s):
2015 ◽
Vol 292
◽
pp. 88-113
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