NUMERICAL ANALYSIS OF A FINITE ELEMENT, CRANK-NICOLSON DISCRETIZATION FOR MHD FLOWS AT SMALL MAGNETIC REYNOLDS NUMBERS

被引：0

作者：

Yuksel, Gamze ^{[1
]}

Ingram, Ross ^{[2
]}

机构：

[1] Mugla Univ, Dept Math, TR-48000 Mugla, Turkey

[2] Univ Pittsburgh, Pittsburgh, PA 15260 USA

来源：

INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING | 2013年 / 10卷 / 01期

基金：

美国国家科学基金会;

关键词：

Navier-Stokes; MHD; finite element; Crank-Nicolson; APPROXIMATION; STATIONARY; ALGORITHM;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the finite element method for time dependent MHD flow at small magnetic Reynolds number. We make a second (and common) simplification in the model by assuming the time scales of the electrical and magnetic components are such that the electrical field responds instantaneously to changes in the fluid motion. This report gives a comprehensive error analysis for both the semi-discrete and a fully-discrete approximation. Finally, the effectiveness of the method is illustrated in several numeral experiments.

引用

页码：74 / 98

页数：25

共 24 条

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