%0 Journal Article
%T ON POSITIVITY OF A CLASS OF FLUX-VECTOR SPLITTING METHODS I. EXPLICIT DIFFERENCE SCHEMES<br>一类通矢量分裂方法的保正性研究Ⅰ.显式格式
%A 汤华中
%A 徐昆
%J 计算数学
%D 2001
%I 
%X This paper is about the positivity analysis of a class of flux-vector splitting (FVS) methods for the compressible Euler equations, which include gas-kinetic Beam scheme8], Steger-Warming FVS method9], and Lax-Friedrichs scheme. It shows that the density and the internal energy could keep non-negative values under the CFL condition for all above three schemes once the initial gas stays in a physically realizable state. The proof of positivity is closely related to the pseudo-particle representation of FVS schemes.
%K Euler方程
%K 保正性
%K 通矢量分裂
%K Beam格式
%K Lax－Friedrichs格式
%K 通矢量方法
%K 流体力学
%K 数值方法
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=37F46C35E03B4B86&jid=CC77F3CEF526D9CF0B3021650FB4E57E&aid=CA3F2A232CF173FC&yid=14E7EF987E4155E6&vid=EA389574707BDED3&iid=E158A972A605785F&sid=8F2250DA83AF77B8&eid=DA4893B5F9885621&journal_id=0254-7791&journal_name=计算数学&referenced_num=0&reference_num=12