守恒型双曲方程的中心差分TVD格式研究  

ON CENTRAL DIFFERENCE TVD SCHEMES FOR HYPERBOLIC CONSERVATION LAWS

作　　者：封建湖[1] 

机构地区：[1]西北工业大学

出　　处：《纯粹数学与应用数学》1996年第2期12-16,共5页Pure and Applied Mathematics

摘　　要：研究了如何利用迎风格式的耗散性构造中心差分ＴＶＤ格式的方法，给出了相应的定理，构造出新的耗散表达式．新格式既保留了二阶中心差分格式灵活方便的优点，又吸收了迎风格式耗散项比较精细的特点，同时具有ＴＶＤ性质。It is studied how to construct central difference TVD schemes by means of dissipations of upwind schemes. Conditions are given that guarantee that such dissipation models produce a TVD scheme. The detailed method to construct artificial dissipation terms is presented making use of flux limiters such as van Leer, Minmod, van Albada, Superbee etc.. The differences between flux limiters of upwind scheme and the one of central difference TVD schemes are discussed. One dimensional Euler equations of inviscid flows are calculated, which show that the shock resolution of new schemes is higher and the results are satisfactory.

关 键 词：中心差分格式 TVD格式 双曲型方程 守恒型方程 

分 类 号：O241.82[理学—计算数学]