基于时滞惯性流形的非线性Galerkin算法

侯延仁; 李开泰

基于时滞惯性流形的非线性Galerkin算法

西安交通大学理学院西安 710049

基金项目: 国家自然科学基金资助项目(10101020);国家重大基础研究"973"项目(G199032801-01-5)

详细信息

作者简介:
侯延仁(1969- ),男,陕西延安人,副教授,博士(E-mail:yrhou@mail.xjtu.edu.cn).

中图分类号: O241.82
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- 被引次数: 0
出版历程
- 收稿日期: 2001-09-18
- 修回日期: 2002-09-28
- 刊出日期: 2003-03-15

IMD Based Nonlinear Galerkin Method

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

摘要

摘要: 针对Marion-Temam型非线性Galerkin方法可行性强烈依赖于最小解题规模的不足,利用时滞惯性流形的新思想,以二维Navier-Stokes方程为例,给出了该类非线性Galerkin方法的一种改进形式,并证明了改进后的方法在保持原方法优越性的同时,其可行性条件得到了很大的改善,从而,给出的是一种可行的高效稳定算法。
- 非线性Galerkin方法 /
- 时滞惯性流形 /
- Navier-Stokes方程
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.
- nonlinear Galerkin method /
- inertial manifold with delay /
- Navier-Stokes equation

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参考文献(12)

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