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The study the linearized stationary incompressible flow (Oseen type flow) around rotating and translating body in the exterior domain \({\mathcal D}\) . One of the goals is to obtain the pointwise estimate for the pressure. Moreover, we consider the linearized problem in a truncation domain \(\mathcal D_R:=B_R \cap \overline { \mathcal D}\) under certain artificial boundary conditions on the truncating boundary \(\partial B_R\) and then compare this solution with the solution in the exterior domain \(\overline {\mathcal D}\) to get the truncation error estimate.

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Artificial Boundary Conditions for the Oseen Type Problem

  • 章节

  • 发表日期：

    2025年

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  • Šárka Nečasová,
  • Stanislav Kračmar,
  • Jiří Neustupa,
  • Patrick Penel

摘要

The study the linearized stationary incompressible flow (Oseen type flow) around rotating and translating body in the exterior domain \({\mathcal D}\) . One of the goals is to obtain the pointwise estimate for the pressure. Moreover, we consider the linearized problem in a truncation domain \(\mathcal D_R:=B_R \cap \overline { \mathcal D}\) under certain artificial boundary conditions on the truncating boundary \(\partial B_R\) and then compare this solution with the solution in the exterior domain \(\overline {\mathcal D}\) to get the truncation error estimate.