Nonlinear Galerkin methods for 3D magnetohydrodynamic equations

被引：6
|
作者：
Schmidtmann, O [1 ]
Feudel, F [1 ]
Seehafer, N [1 ]
机构：
[1] Univ Potsdam, Max Planck Grp Nichtlineare Dynam, D-14415 Potsdam, Germany
来源：
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 1997年 / 7卷 / 07期
关键词：
D O I：
10.1142/S0218127497001187
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The usage of nonlinear Galerkin methods for the numerical solution of partial differential equations is demonstrated by treating an example. We describe the implementation of a nonlinear Galerkin method based on an approximate inertial manifold for the 3D magnetohydrodynamic equations and compare its efficiency with the linear Galerkin approximation. Special bifurcation points, time-averaged values of energy and enstrophy as well as Kaplan-Yorke dimensions are calculated for both schemes in order to estimate the number of modes necessary to correctly describe the behavior of the exact solutions.
引用
收藏
页码：1497 / 1507
页数：11
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