Error Analysis of a Projection Method for the Navier-Stokes Equations With Coriolis Force

被引：7

作者：

Olshanskii, Maxim A. ^{[1
]}

Sokolov, Andriy ^{[2
]}

Turek, Stefan ^{[2
]}

机构：

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

[2] Dortmund Univ Technol, Inst Appl Math, D-44227 Dortmund, Germany

来源：

JOURNAL OF MATHEMATICAL FLUID MECHANICS | 2010年 / 12卷 / 04期

基金：

俄罗斯基础研究基金会;

关键词：

Navier-Stokes equations; Coriolis force; projection method; error estimate; INCOMPRESSIBLE VISCOUS-FLOW; APPROXIMATION;

D O I：

10.1007/s00021-009-0299-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper a projection method for the Navier-Stokes equations with Coriolis force is considered. This time-stepping algorithm takes into account the Coriolis terms both on prediction and correction steps. We study the accuracy of its semi-discretized form and show that the velocity is weakly first-order approximation and the pressure is weakly order 1/2 approximation.

引用

页码：485 / 502

页数：18

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