数学
边值问题
边界(拓扑)
压缩性
数学分析
压力修正法
纳维-斯托克斯方程组
斯托克斯定律
误差分析
斯托克斯流
应用数学
机械
几何学
物理
流量(数学)
作者
Jean‐Luc Guermond,Peter Minev,Jie Shen
摘要
The incompressible Stokes equations with prescribed normal stress (open) boundary conditions on part of the boundary are considered. It is shown that the standard pressure-correction method is not suitable for approximating the Stokes equations with open boundary conditions, whereas the rotational pressure-correction method yields reasonably good error estimates. These results appear to be the first ever published for splitting schemes with open boundary conditions. Numerical results in agreement with the error estimates are presented.
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