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

共 50 条

[31] A variational multiscale stabilized formulation for the incompressible Navier-Stokes equations
Masud, Arif
Calderer, Ramon
COMPUTATIONAL MECHANICS, 2009, 44 (02) : 145 - 160
[32] Conservative polytopal mimetic discretization of the incompressible Navier-Stokes equations
Beltman, R.
Anthonissen, M. J. H.
Koren, B.
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2018, 340 : 443 - 473
[33] A locally conservative LDG method for the incompressible Navier-Stokes equations
Cockburn, B
Kanschat, G
Schötzau, D
MATHEMATICS OF COMPUTATION, 2005, 74 (251) : 1067 - 1095
[34] Multirate timestepping for the incompressible Navier-Stokes equations in overlapping grids
Mittal, Ketan
Dutta, Som
Fischer, Paul
JOURNAL OF COMPUTATIONAL PHYSICS, 2021, 437
[35] PRECONDITIONING FOR A PRESSURE-ROBUST HDG DISCRETIZATION OF THE STOKES EQUATIONS\ast
Rhebergen, Sander
Wells, Garth N.
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2022, 44 (01) : A583 - A604
[36] A superconvergent HDG method for the incompressible Navier-Stokes equations on general polyhedral meshes
Qiu, Weifeng
Shi, Ke
IMA JOURNAL OF NUMERICAL ANALYSIS, 2016, 36 (04) : 1943 - 1967
[37] A refined Moving Particle Pressure Mesh (MPPM) method for solving incompressible Navier-stokes equations
Ng, Y. L.
Ng, K. C.
Sheu, T. W. H.
COMPUTERS & FLUIDS, 2021, 226 (226)
[38] Approximation of the convective flux in the incompressible Navier-Stokes equations using local boundary-value problems
Kumar, N.
Boonkkamp, J. H. M. ten Thije
Koren, B.
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2018, 340 : 523 - 536
[39] On the Navier-Stokes equations with rotating effect and prescribed outflow velocity
Hansel, Tobias
JOURNAL OF MATHEMATICAL FLUID MECHANICS, 2011, 13 (03) : 405 - 419
[40] Performance comparison of parallel ILU preconditioners for the incompressible Navier-Stokes equations
Kang, Sungwoo
Ngo, Long Cu
Choi, Hyounggwon
Chung, Wanjin
Yoo, Yo-Han
Yoo, Jung Yul
JOURNAL OF MECHANICAL SCIENCE AND TECHNOLOGY, 2020, 34 (03) : 1175 - 1184

← 1 2 3 4 5 →