A discrete projection method for incompressible viscous flow with coriolis force

被引：5

作者：

Sokolov, Andriy ^{[1
]}

Olshanskii, Maxim A. ^{[2
]}

Turek, Stefan ^{[1
]}

机构：

[1] Dortmund Univ Technol, Inst Angew Math, D-44227 Dortmund, Germany

[2] Moscow MV Lomonosov State Univ, Dept Mech & Math, Moscow 119899, Russia

来源：

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING | 2008年 / 197卷 / 51-52期

基金：

俄罗斯基础研究基金会;

关键词：

Navier-Stokes equations; Coriolis force; Projection method; Pressure Schur complement; Multigrid;

D O I：

10.1016/j.cma.2008.05.014

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

The paper presents a new discrete projection method for the numerical solution of the Navier-Stokes equations with Coriolis force term. On an algebraic level we interpret one time step of the projection method as an incomplete factorization of the linearized Navier-Stokes system and as the iteration of an Uzawa type algorithm with special preconditioning for the pressure block. This enables us to modify the well-known projection method in a way to account for possibly dominating Coriolis terms. We consider a special multigrid method for solving the velocity subproblems and a modified projection (pressure correction) step. Results of numerical tests are presented for a model problem as well as for 3D flow simulations in stirred tank reactors. (c) 2008 Elsevier B.V. All rights reserved.

引用

页码：4512 / 4520

页数：9

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