An unconditionally stable convergent finite difference method for Navier-Stokes problems on curved domains
An unconditionally stable convergent finite difference method for Navier-Stokes problems on curved domains
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弯曲域纳维-斯托克斯问题的无条件稳定收敛有限差分法
DOI：
10.1137/0724081
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发表时间：
1987
影响因子：
2.9
通讯作者：
T. Porsching
中科院分区：
文献类型：
--
作者：
J. Ellison;C. Hall;T. Porsching
提出了一种新的有限差分格式，用于求解二维瞬态不可压Navier-Stokes问题，该问题在有界单连通区域上存在一个到单位平方上的C^2可逆映射.该方法被证明是无条件稳定和收敛的，并减少到著名的Krzhivitski和Ladyzhenskaya格式的矩形区域。
A new finite difference scheme is presented for solving two-dimensional, transient, incompressible Navier–Stokes problems on a bounded simply-connected region for which there exists a $C^2 $ invertible mapping onto the unit square. The method is proven to be unconditionally stable and convergent, and reduces to the well-known Krzhivitski and Ladyzhenskaya scheme for rectangular domains.