2阶精度时间后差隐式格式TVD充分条件  

TVD SUFFICIENT CONDITION FOR IMPLICIT SCHEME OF SECOND ORDER ACCURATE BACKWARD TIME DIFFERENCE

作　　者：陈宏冀[1] 

机构地区：[1]中国科学院工程热物理研究所,北京100080

出　　处：《工程热物理学报》2005年第1期35-38,共4页Journal of Engineering Thermophysics

基　　金：国家重点基础研究项目资助(No.G1999022309)

摘　　要：非定常流动问题计算中常用到含三个时间层的二阶精度时间后差隐式格式,并且希望构成TVD格式,然而理论上的问题多年一直没有解决。本文找到了解决办法,构造了这种类型的隐式TVD格式,证明了其为TVD的充分条件。理论结果为计算所验证,并表明通常未采取本文对时间差分处理方法的格式尚不具备TVD性质。The implicit scheme of second order accurate backward time difference utilizing three time levels is often employed in computing unsteady flows. Moreover it is desired to construct such type scheme as TVD scheme. However the problem has not been resolved in theory for a long time. The present author finds out an approach of resolution, construct a new implicit TVD scheme of this type, and prove the sufficient condition for it to be TVD scheme. Computation experiments verify the theoretical results and show that the traditional scheme without treating time difference as ours does not posses TVD property.

关 键 词：非定常流动 计算方法 差分格式 隐式TVD格式 

分 类 号：TK474[动力工程及工程热物理—动力机械及工程]