Low Speed Preconditioning Algorithm Used in the Process of Calculating Euler Equation

De Bao Lei; Zhong Hua Tang; Yan Hui Zheng

doi:10.4028/www.scientific.net/AMM.275-277.451

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HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vols. 275-277Low Speed Preconditioning Algorithm Used in the...

Low Speed Preconditioning Algorithm Used in the Process of Calculating Euler Equation

Abstract:

This paper describes a numerical method for solving the unsteady Euler equation at any speed. In the process of calculating Euler's equation, the control equation in orthogonal curvilinear coordinate system is discretized by the finite -volume scheme based on the center-difference method, and convection flux used Jameson central deference scheme was solved at every pseudo time step, and the Runge-Kutta method, dual-time algorithm and the implicit LU-SGS add preconditioning algorithm are used for time-marching. For obtaining the numerical solution of two-dimensional unsteady flow around a cylinder and the flow of the Convex Hull, finding that the calculated results agree well with literature values and theoretical analytical solution.

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Periodical:

Applied Mechanics and Materials (Volumes 275-277)

Pages:

451-455

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.275-277.451

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Online since:

January 2013

Authors:

De Bao Lei, Zhong Hua Tang, Yan Hui Zheng

Keywords:

Euler Equation, LU-SGS, Numerical Solution, Preconditioning

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