This paper studies numerical scheme and suppression method of wall heating error for elastic-plastic flow with cell-centered Lagrange Godunov method.Provide the viscosity correction equation of Godunov scheme,describe the procedure of a viscous shock formation and propagation with a jump type initial data,and analyze the relationship between the viscosity behavior of the correction equation and wall heating error.On this basis,a new HLLC-type approximate Riemann solver is proposed.In this solver,an adaptive heat conduction viscosity is introduced to suppress wall heating error of internal energy and density at the interface;What's more,an additional contact velocity is proposed to suppress the over-heating phenomenon of deviatoric stress.
维普
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