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.

Aerothermodynamic Effects and Modeling of the Tangential Curvature of Guide Vanes in an Axial Turbine Stage

“…The frictionless flux Eu Δ and the dissipative flux NS Δ are discretized, for example, in each case by the upwind scheme and an application of Gauss theorems. The treatment of the two fluxes will be not implemented here; their detailed description is represented in [25,27,[29][30][31][32][33][34][35]. The physical fluxes are mainly discretized in the approximation of the central scheme as follows:…”