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Artificial boundary conditions for linearized stationary incompressible viscous flow around rotating and translating body
Mathematische Nachrichten ( IF 1 ) Pub Date : 2020-10-22 , DOI: 10.1002/mana.201900039
P. Deuring 1 , S. Kračmar 2, 3 , Š. Nečasová 3
Affiliation  

We consider the linearized and nonlinear stationary incompressible flow around rotating and translating body in the exterior domain B with Lipschitz boundary. We derive the pointwise estimates for the pressure in both cases. Moreover, we consider the linearized problem in a truncation domain B_R of the exterior domain B under certain artificial boundary conditions on the truncating boundary and then compare this solution with the solution in the exterior domain B to get the truncation error estimate.

中文翻译:

旋转平移体周围线性化静止不可压缩粘性流的人工边界条件

我们考虑了具有 Lipschitz 边界的外域 B 中旋转和平移体周围的线性和非线性静止不可压缩流动。我们推导出两种情况下压力的逐点估计。此外,我们在截断边界上的某些人工边界条件下考虑外部域B的截断域B_R中的线性化问题,然后将该解与外部域B中的解进行比较以获得截断误差估计。
更新日期:2020-10-22
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