An EBE finite element method for simulating nonlinear flows in rotating spheroidal cavities

被引：16

作者：

Chan, Kit H. ^{[2
]}

Zhang, Keke ^{[1
]}

Liao, Xinhao ^{[3
]}

机构：

[1] Univ Exeter, Dept Math Sci, Exeter EX4 4QE, Devon, England

[2] Univ Hong Kong, Dept Math, Hong Kong, Hong Kong, Peoples R China

[3] Chinese Acad Sci, Shanghai Astron Observ, Shanghai 200030, Peoples R China

来源：

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS | 2010年 / 63卷 / 03期

关键词：

finite element methods; spheroids; rotation; methods; partial differential; Navier-Stokes; incompressible flow; validation; DYNAMOS; LIQUID; MOTION;

D O I：

10.1002/fld.2088

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

Many planetary and astrophysical bodies are rotating rapidly, fluidic and, as a consequence of rapid rotation, in the shape of an ablate spheroid. We present an efficient element-by-element (EBE) finite element method for the numerical simulation of nonlinear flows in rotating incompressible fluids that are confined in an ablate spheroidal cavity with arbitrary eccentricity. Our focus is placed on temporal and spatial tetrahedral discretization of the EBE finite element method in spheroidal geometry, the EBE parallelization scheme and the validation of the nonlinear spheroidal code via both the constructed exact nonlinear solution and the special resonant forcing in the inviscid limit. Copyright (C) 2009 John Wiley & Sons, Ltd.

引用

页码：395 / 414

页数：20

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