STABLE BOUNDARY APPROXIMATIONS FOR IMPLICIT TIME DISCRETIZATIONS FOR GASDYNAMICS

作     者：GUSTAFSSON, B OLIGER, J 

作者机构：STANFORD UNIVDEPT COMP SCISTANFORDCA 94305 

出 版 物：《SIAM JOURNAL ON SCIENTIFIC AND STATISTICAL COMPUTING》 (工业与应用数学会科学计算杂志)

年 卷 期：1982年第3卷第4期

页      面：408-421页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

主　　题：gas dynamics initial boundary value problems difference methods 

摘      要：We consider the problem of constructing stable difference methods for the initial boundary value problem for the linearized equations of gas dynamics in one space dimension using the implicit time differencing methods considered by Beam and Warming [2]. Centered spacial differences are used in the interior. We investigate the stability of this class with two forms of extrapolation for the scalar outflow problem. (We consider the problem of specifying data in the primitive variables and computing in terms of the conservative variables in the interior.) We show that the whole class of methods is stable for the subsonic inflow and outflow problems with various data specifications and extrapolation methods. We also show that the methods considered are stable for the solid wall boundary problem when we set $u = 0$and use one-sided differences in the other equations.