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. Th...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.展开更多
This paper proposes a new accelerating technique for simulating low speed flows,termed as p Seudo High Speed method(SHS),which uses governing equations and numerical methods of compressible flows.SHS method has advant...This paper proposes a new accelerating technique for simulating low speed flows,termed as p Seudo High Speed method(SHS),which uses governing equations and numerical methods of compressible flows.SHS method has advantages of simple formula,easy manipulation,and only need to modify flux of Euler equations.It can directly employ the existing well-developed schemes of hyperbolic conservation laws.To verify the technique,several numerical experiments are performed,such as:flow past airfoils and flow past a cylinder.Analysis of SHS method and comparisons with some precondition methods are made numerically.All tests show that SHS method can greatly improve the efficiency of compressible method simulating low speed flow fields,which exhibits in accelerating the convergence rate and increasing the accuracy of the numerical results.展开更多
文摘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.
文摘This paper proposes a new accelerating technique for simulating low speed flows,termed as p Seudo High Speed method(SHS),which uses governing equations and numerical methods of compressible flows.SHS method has advantages of simple formula,easy manipulation,and only need to modify flux of Euler equations.It can directly employ the existing well-developed schemes of hyperbolic conservation laws.To verify the technique,several numerical experiments are performed,such as:flow past airfoils and flow past a cylinder.Analysis of SHS method and comparisons with some precondition methods are made numerically.All tests show that SHS method can greatly improve the efficiency of compressible method simulating low speed flow fields,which exhibits in accelerating the convergence rate and increasing the accuracy of the numerical results.
