一类具有自适应性质的组合TVD格式的构造

CONSTRUCTION OF AN ADAPTIVE HYBRID FORM OF TVD SCHEMES

摘要

摘要:本文分析比较了些典型的ＴＶＤ格式，发现各种ＴＶＤ格式对解的分辨能力有差别，格式中存在耗散性和压缩性的矛盾。在分析了格式的构造以及产生耗散、压缩作用的原因后，本文提出了一种具有自适应能力的ＴＶＤ格式的组合形式，该格式在解的剧烈变化区域，有较高的分辨能力；在解的光滑区域避免了由于压缩性过强造成的失真，数值试验表明该格式具有良好的性质．

Abstract:In the present paper a number of TVD schemes are tested and compdred throughamodel equation。 Numerical results show that Some schelnes are more “compressive”andsome are more“diffusive”.To avoid the“overcompressibility” and“overdiffusion”, a newkind of TVD scheme is proposed.It is constructed in the hybrid form of a more compressiveTVD scheme and a more diffusive TVD scheme 。 With the introduction of an adaptiveweighted function,the new scheme maintains high resolution in sharp discontinuities andaVoids“o...