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

被引：0

作者：

Demir, Medine ^{[1
]}

John, Volker ^{[1
,2
]}

机构：

[1] Weierstrass Inst Appl Anal & Stochast, D-10117 Berlin, Germany

[2] Free Univ Berlin, Dept Math & Comp Sci, D-14195 Berlin, Germany

来源：

BIT NUMERICAL MATHEMATICS | 2024年 / 64卷 / 04期

关键词：

Navier-Stokes equations in rotating frame of reference; Coriolis force; Scott-Vogelius pairs of finite element spaces; Pressure-robust error estimate; EULERIAN COMPUTING METHOD; GRAD-DIV STABILIZATION; FINITE-ELEMENT METHODS; CORIOLIS-FORCE; FLOW; ALGORITHM; UNIFORM;

D O I：

10.1007/s10543-024-01037-6

中图分类号：

TP31 [计算机软件];

学科分类号：

081202 ; 0835 ;

摘要：

A pressure-robust space discretization of the incompressible Navier-Stokes equations in a rotating frame of reference is considered. The discretization employs divergence-free, H-1 -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 support the theoretical results.

引用

页数：19

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