NUMERICAL SOLUTION OF SUPG FINITE ELEMENT METHOD FOR SUPERSONIC VISCOUS FLOW
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摘要: 本文构造了准简化 N-S 方程组的 SUPG(Streamline Upwind/Petrov-Galerk-in)加权剩余式,并利用该方法对 Burgers 方程、无粘性激波反射问题、以及超音速平板和压缩拐角的层流流动作了数值求解。计算结果表明,本文方法是精确、收敛和稳定的。Abstract: A streamline upwind/Petrov-Galerkin (SUPG) weighted residual formulation has been developed in the present paper for the quasi-simplified N-S equations. Numerical calculations have been made for the Burgers' equation, the shock reflection on a solid wall, and the supersonic laminar flow over a flat plate and two-dimensional compression corner flow by using the present method. The numerical results show that the present method has good accuracy, convergence, and stability properties.
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Key words:
- NS equation /
- supersonic viscous flow /
- finile element method /
- SUPG method
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