一个基于非均匀网格上的二阶基本无振荡差分格式　  

A SECOND-ORDER NON-UNIFORM GRID ESSENTIALLY NON-OSCILLATORY DIFFERENCE SCHEME

作　　者：申义庆[1] 高智[2] 

机构地区：[1]清华大学数学科学系,北京100084 [2]中国科学院力学研究所高温气动实验室,北京100080

出　　处：《力学学报》2003年第2期224-229,共6页Chinese Journal of Theoretical and Applied Mechanics

基　　金：国家自然科学基金资助项目(10272106);中国科学院力学研究所高温气动实验室资助项目.

摘　　要：在基本无振荡格式的构造中,将通常的对流通量f的逼近方式推广到对通量导数的逼近,这一构造方法可以有效地应用到非均匀或非结构网格.直接基于非均匀网格上,构造了一个二阶的基本无振荡(ENO)差分格式.该格式具有形式简单,对网格的划分灵活,与传统格式相比不增加计算量等优点.几个数值算例证明了格式的有效性.In the paper, we generalized the approximate technique of fluxes in usual difference scheme to approximate the derivatives of fluxes. This new technique can be effectively applied to non-uniform grid or unstructured mesh. Based on non-uniform grid, we constructed a second-order essentially non-oscillatory finite difference scheme. Compared with traditional schemes, the new scheme has simple form and its grid generation is very flexible and it also does not increase CPU time. Several numerical examples show that the present scheme is efficient.

关 键 词：TVD格式 ENO格式 非均匀网格 二阶基本无振荡差分格式 一维激波管 

分 类 号：O35[理学—流体力学]