IMD BASED NONLINEAR GALERKIN METHOD

Applied Mathematics and Mechanics (English Edition) ›› 2003, Vol. 24 ›› Issue (3): 326-337.

IMD BASED NONLINEAR GALERKIN METHOD

侯延仁, 李开泰

College of Science, Xi’an Jiaotong University, Xi’an 710049, P. R. China

收稿日期:2001-09-18 修回日期:2002-09-28 出版日期:2003-03-18 发布日期:2003-03-18
基金资助:
the National Natural Science Foundation of China(19671067);the Special Foundation for Major State Basic Research(973) Projects(G1999032801-01-5)

IMD BASED NONLINEAR GALERKIN METHOD

HOU Yan-ren, LI Kai-tai

College of Science, Xi’an Jiaotong University, Xi’an 710049, P. R. China

Received:2001-09-18 Revised:2002-09-28 Online:2003-03-18 Published:2003-03-18
Supported by:
the National Natural Science Foundation of China(19671067);the Special Foundation for Major State Basic Research(973) Projects(G1999032801-01-5)

摘要/Abstract

摘要： By taking example of the 2D Navier-Stokes equations,a kind of improved version of the nonlinear Galerkin method of Marion-Temam type based on the new concept of the inertial manifold with delay(IMD) is presented,which is focused on overcoming the defect that the feasibility of the M-T type nonlinear Galerkin method heavily depended on the least solving scale.It is shown that the improved version can greatly reduce the feasible conditions as well as preserve the superiority of the former version.Therefore,the version obtained here is an applicable,high performance and stable algorithm.

Abstract: By taking example of the 2D Navier-Stokes equations,a kind of improved version of the nonlinear Galerkin method of Marion-Temam type based on the new concept of the inertial manifold with delay(IMD) is presented,which is focused on overcoming the defect that the feasibility of the M-T type nonlinear Galerkin method heavily depended on the least solving scale.It is shown that the improved version can greatly reduce the feasible conditions as well as preserve the superiority of the former version.Therefore,the version obtained here is an applicable,high performance and stable algorithm.

中图分类号:

O241.82

侯延仁;李开泰. IMD BASED NONLINEAR GALERKIN METHOD[J]. Applied Mathematics and Mechanics (English Edition), 2003, 24(3): 326-337.

HOU Yan-ren;LI Kai-tai. IMD BASED NONLINEAR GALERKIN METHOD[J]. Applied Mathematics and Mechanics (English Edition), 2003, 24(3): 326-337.

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IMD BASED NONLINEAR GALERKIN METHOD

IMD BASED NONLINEAR GALERKIN METHOD

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