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Artificial boundary conditions for linearized stationary incompressible viscous flow around rotating and translating body

P. Deuring, S. Kračmar and Š. Nečasová

Mathematische Nachrichten, 2021, vol. 294, issue 1, 56-73

Abstract: We consider the linearized and nonlinear stationary incompressible flow around rotating and translating body in the exterior domain R3∖D¯, where D⊂R3 is open and bounded, with Lipschitz boundary. We derive the pointwise estimates for the pressure in both cases. Moreover, we consider the linearized problem in a truncation domain DR:=BR∖D¯ of the exterior domain R3∖D¯ under certain artificial boundary conditions on the truncating boundary ∂BR, and then compare this solution with the solution in the exterior domain R3∖D¯ to get the truncation error estimate.

Date: 2021
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https://doi.org/10.1002/mana.201900039

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