WIAS Preprint No. 3058, (2023)

Pressure-robust approximation of the incompressible Navier--Stokes equations in a rotating frame of reference


Authors

  • Demir, Medine
    ORCID: 0009-0003-6309-2037
  • John, Volker
    ORCID: 0000-0002-2711-4409

2020 Mathematics Subject Classification

  • 65N15 65N30 76M10

2010 Physics and Astronomy Classification Scheme

  • 47.10.ad 47.11.Fg

Keywords

  • Navier--Stokes equations in rotating frame of reference, Coriolis force, Scott--Vogelius pairs of finite element spaces, pressure-robust error estimate

DOI

10.20347/WIAS.PREPRINT.3058

Abstract

A pressure-robust space discretization of the incompressible Navier--Stokes equations in a rotating frame of reference is considered. The discretization employs divergence-free, H1-conforming mixed finite element methods like Scott--Vogelius pairs. An error estimate for the velocity is derived that tracks the dependency of the error bound on the coefficients of the problem, in particular on the angular velocity. Numerical examples illustrate the theoretical results.

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