%0 Journal Article %T DOMAIN DECOMPOSITION FOR THE DIFFERENCE SOLUTION OF INCOMPRESSIBLE NAVIER-STOKES EQUATIONS
用区域分解法求不可压N-S方程的差分解 %A 黄兰洁 %J 计算数学 %D 1992 %I %X This paper is a continuation of the domain decomposition method proposed in 1] and2] for the incompressible Navier-Stokes equations. To obtain the numerical solution of thecomplete unsteady incompressible Navier-Stokes equations, difference methods are used forboth the outer solution and the boundary layer corrections. For the former, explicit dif-ference scheme 5] is applied on a coarse grid; and for the latter, the same difference sche-me is used, but with normal viscous terms treated implicitly on a grid fine in the normaldirection and covering the boundary layer. This paper also gives the discrete projection theo-rem on a staggered grid in a rectangular region, which corresponds to the well known con-tinuous projection theorem, and which in particular verifies the boundary treatment for thediscrete pressure Poisson equation. Also, a farfield normal velocity boundary treatment isproposed. Numerical experiments on the semi-infinite plate problem show that the computa-tional method and the coupled process presented in this paper are effective. %K 区域分解法 %K N-S方程 %K 不可压 %K 差分解 %U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=37F46C35E03B4B86&jid=CC77F3CEF526D9CF0B3021650FB4E57E&aid=8966BF10F34E3E12D7B554E2A050BA6A&yid=F53A2717BDB04D52&vid=F3583C8E78166B9E&iid=E158A972A605785F&sid=DDEED1BDDBFAA8A7&eid=A48DE16C07AAAB06&journal_id=0254-7791&journal_name=计算数学&referenced_num=1&reference_num=4