Research Activities > Programs >
Lectures> CSCAMM Students -
2006
>Weigang Zhong
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Entropy
Stable Approximations of Navier-Stoke Equations with
No Artificial Numerical Viscosity
Weigang Zhong
Center for Scientific Computation and Mathematical
Modeling at University of Maryland, College Park
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Abstract:
We construct a new
family of entropy stable difference schemes which
retain the precise entropy decay of the Navier-Stokes
equations. To this end we employ the entropy
conservative differences 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. Our 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.
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