Numerical Treatment of Parametric Gradient Problems in Source Term by New Difference Methods

摘要

In this paper, we expand the energy equation of unsteady Euler equations as the form of mixture gas and carry out the numerical resolution through the FVM to discuss the nonphysical oscillations near the contact discontinuity interface and shock wave. We resolve the equations by using the AUSMDV Riemann solver with different flux limiters, the FVM and the second-order with two-step discrete-time stepping method. For the source term in the investigated Euler equations with multi-species, we discuss the facing problem of for the numerical treatment of gradient in different type and test the non-physical oscillation problem by establishing a new applied method of gradient control.