双曲型方程无振荡选取(NOS)有限差分格式

NON-OSCILLATORY SELECTION (NOS) SCHEME FOR HYPERBOLIC EQUATIONS

从几何观点解释了双曲型方程差分格式的TVD条件 ,导出了常用二阶差分格式的无振荡条件 ,发展了一种具有时空三阶精度的无振荡选取NOS差分格式 .从单个双曲型方程的一些典型算例 ,显示了该格式高精度、无振荡和逻辑简单的特点 ,并能有效避免通常使用维数分裂法向二维推广时带来的空间耗散不对称性 .

The TVD conditions of finite difference schemes are interpreted on geometrical views for hyperbolic equations,and from it the non-oscillatory conditions are derived for conventional second-order schemes.A mainly third-order non-oscillatory scheme(NOS)is developed.Numerical experiments show high order,non-oscillation,simplicity and symmetric diffusion of the scheme. [