抛物化Navier-Stokes方程的降维仿真模型

计算物理 ›› 2014, Vol. 31 ›› Issue (1): 11-20.

抛物化Navier-Stokes方程的降维仿真模型

罗雨鸥¹, 宇燕¹, 罗振东²

1. 贵州师范大学物理与电子科学学院, 贵阳 550001;
2. 华北电力大学数理学院, 北京 102206

收稿日期:2013-04-14 修回日期:2013-08-16 出版日期:2014-01-25 发布日期:2014-01-25
通讯作者: 罗振东,E-mail:zhdluo@163.com
作者简介:罗雨鸥(199l-),女,在校生,主要从事计算物理及应用研究
基金资助:
国家自然科学基金(11271127);贵州省科技计划课题(黔科合J字[2012]2276);贵州省教育厅自然科学研究项目(黔教合KY字[2013]207)资助项目

A Reduced-Order Simulation Model for Parabolized Navier-Stokes Equations

LUO Yuou¹, YU Yan¹, LUO Zhendong²

1. School of Physical and Electronic Science, Guizhou Normal University, Guiyang 550001, China;
2. School of Mathematics and Physics, North China Electric Power University, Beijing 102206, China

Received:2013-04-14 Revised:2013-08-16 Online:2014-01-25 Published:2014-01-25

摘要/Abstract

摘要： 利用特征投影分解技术和奇值分解方法,建立抛物化Navier-Stokes方程的降维仿真模型,讨论降维仿真模型解的稳定性和误差,并利用误差估计指导特征投影分解基函数的选取及特征投影分解基函数的更新.最后,用数值试验验证降维仿真模型的有效性和可行性.

关键词: 特征投影分解技术, 奇值分解方法, 抛物化Navier-Stokes方程, 降维仿真模型

Abstract: With proper orthogonal decomposition (POD) technique and singular value decomposition method we establish a reducedorder simulation model for parbolized Navier-Stokes equations.Stability and errors of solutions are discussed.Choice and update of POD basic are instructed by means of error estimates.Numerical experiments are presented to illustrate validity and feasibility of the model for parbolized Navier-Stokes equations.

Key words: proper orthogonal decomposition technique, singular value decomposition method, parbolized Navier-Stokes equations, reduced-order simulation model

中图分类号:

O241.82

罗雨鸥, 宇燕, 罗振东. 抛物化Navier-Stokes方程的降维仿真模型[J]. 计算物理, 2014, 31(1): 11-20.

LUO Yuou, YU Yan, LUO Zhendong. A Reduced-Order Simulation Model for Parabolized Navier-Stokes Equations[J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 2014, 31(1): 11-20.