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

页码：1497 / 1507

页数：11