A comparative study of flux limiters using new numerical methods in unsteady supersonic flows

Abstract

In this study, partition of the energy equation in the Euler equations is expanded in the form of ideal mixture gas through the finite-volume method in order to discuss questions faced in the Riemann approximation solver. Through the AUSMDV numerical flux scheme with different flux limiters and types of gradient, we want to improve the calculation accuracy and reduce the nonphysical oscillation problem. Based on the AUSMDV scheme, We modify the energy equation of the ideal mixture gas which was proposed by Ton [8]. For the pressure and velocity gradient of source term Q, we establish a new method of gradient control to test whether it can make progress in the nonphysical numerical oscillation problem.