Van Albada限制器在间断有限元格式中的应用研究

The Application of Van Albada Limiter in Discontinuous Finite Element Scheme

在间断有限元格式的基础上,使用Van Albada限制器对原始流动变量进行限制,以此求解了二维Euler方程.通过对前台阶和超燃冲压发动机内流场的数值模拟,检验了该限制器抑制非物理振荡的有效性.结果表明,Van Albada限制器能在很大程度上保证对激波位置的准确捕捉,同时使时间推进过程得以顺利进行.

Based on the format of discontinuous finite element method,the primitive flow variables are limited by applying the Van Albada limiter, for solving the 2-D Euler equations. Through the numerical simulation of step-forward problem and scramjet inlet-flow, the capability of this limiter in damping the unphysical oscillations has been demonstrated. Result shows that the Van Albada limiter can successfully ensure the accurate capture of shock wave,while the time integration process can be smoothly progressed.