Numerical simulation of multi-dimensional inviscid compressible flows by using TV-HLL scheme

作     者：Pascalin Tiam Kapen Ghislain Tchuen 

作者机构：University of DschangIUT-FVLISIE/L2MSPP.O.Box 134BandjounCameroon Universite des MontagnesISSTP.O.Box 208BangangteCameroon 

出 版 物：《Chinese Journal of Aeronautics》 (中国航空学报（英文版）)

年 卷 期：2016年第29卷第6期

页      面：1553-1562页

核心收录：

学科分类：08[工学] 080103[工学-流体力学] 0802[工学-机械工程] 0825[工学-航空宇航科学与技术] 0801[工学-力学（可授工学、理学学位）] 

主　　题：Euler equations Finite volume method Hypersonic Low speed flows Three-dimensional aerodynamics applications Toro Vazquez-Harten Lax Leer(TV-HLL) 

摘      要：This paper deals with the numerical solution of inviscid compressible flows. The threedimensional Euler equations describing the mentioned problem are presented and solved numerically with the finite volume method. The evaluation of the numerical flux at the interfaces is performed by using the Toro Vazquez-Harten Lax Leer(TV-HLL) scheme. An essential feature of the proposed scheme is to associate two systems of differential equations, called the advection system and the pressure system. It can be implemented with a very simple manner in the standard finite volume Euler and Navier–Stokes codes as extremely simple task. The scheme is applied to some test problems covering a wide spectrum of Mach numbers, including hypersonic, low speed flow and three-dimensional aerodynamics applications.