求解三维欧拉流的隐-显式格式/及改进的三维LU算法

AN EFFICIENT IMPLICIT - EXPLICIT SCHEME AND AN IMPROVED LU SCHEME FOR 3D EULER SOLVER

本文提出两种快速求解欧拉方程组的方法:一种是将三维离散成多个二维问题求解的隐-显式格式即对每个二维问题采用高分辨率的LU隐式杂交格式求解,而另一维采用显式扫描迭代;另一种是将Jameson的LU算法作了改进,使之变为耗散型格式。典型算例表明,两种格式数值计算稳定,收敛速度较快,捕捉的激波分辨率较高。

This paper presents two schemes for solving three -dimensional Euler equations. These schemes are: (1)an efficient implicit - explicit scheme. It is used to treat the spanwise derivatives explicitly and the orther spatial derivatives implicitly, (2) an improved LU scheme for 3D flow. The two schemes are presented based on Jameson & Turkel's LU decompositions and Harten's TVD concept. Numerical results indicate that these schemes are efficient and can generate good shock resolution for solving steady-state problem.