English

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

Analysis of PDEs 2019-10-03 v2

Abstract

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.

Keywords

Cite

@article{arxiv.1901.09529,
  title  = {Artificial boundary conditions for linearized stationary incompressible viscous flow around rotating and translating body},
  author = {Paul Deuring and Stanislav Kracmar and Sarka Necasova},
  journal= {arXiv preprint arXiv:1901.09529},
  year   = {2019}
}