正规三角形网格上二维非线性守恒律组的二阶精度MmB差分格式

SECOND ORDER ACCURATE MmB SCHEMES FOR 2-D NONLINEAR CONSE RVATION LAWS ON REGULAR TRIANGULAR MESHES

本文在正规三角形网格上对二维非线性守恒双曲方程组的初值问题构造一类二阶精度MmB(locally Maximum-minimum Bounds preserving)差分格式,并用此格式对二维无粘Bergers方程的Riemann初值问题进行了计算,结果表明此格式具有高分辨率和非振荡等性质。

In this paper, a class of second order accurate MmB (locally Maximum--minimumBounds preserving) schemes is constructed for initial value problems of 2--D nonlinearconservation laws on regular triangular meshes, an'd the numerical solutions for Riemann problems of 2__D inviscid Bergers eqution are given by using these schemes. The numerical results showthat the schemes have high resolution and nonoscillatory properties.