一个二阶精度的大粒子有限体积方法

A Large Particle Finite Volume Scheme on Two Dimension Unstructured Meshes

对二维Euler方程给出一个二阶精度的非结构网格有限体积方法,方法的主要思想是把Euler方程的一个时间步分两步计算:第一步只考虑压力加速效应,第二步再考虑输运效应,离散过程中采用一种具有最小二乘思想的线性重构函数以计算交界面的流通量,数值实验表明该方法是非常有效的。

We have constructed a second order accuracy finite volume scheme on Euler equations, the new scheme consist of two steps for each time step: the first step we take into account the effects of acceleration caused by pressure gradients, and the second step transport effects are computed. A non-oscillatory linear reconstruction of flow variables is applied, the result of numerical experiment is satisfactory.