Souli Mhamed1, Paul Du Bois2, Essam Al-Bahkali3,*
CMES-Computer Modeling in Engineering & Sciences, Vol.117, No.1, pp. 91-107, 2018, DOI:10.31614/cmes.2018.03888
Abstract When the simulation takes account of dissipative mechanisms, e.g. heat conduction and viscosity, the shocks become smeared out to produce thin layers of rapidly and continuously varying energy, density, pressure and velocity rather than discrete surfaces of mathematical discontinuity. In the mid twentieth century, Von Neumann and Richtmyer suggested the use of a viscous pressure term (bulk viscosity) in the equilibrium equations for ideal gases in order to examine the shock while avoiding numerical oscillations at the shock front. When the bulk viscosity is included in the conservation equations, the comprehensive physics present a continuous solution satisfying the Rankine-Hugoniot conditions.… More >
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