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

CHINESE JOURNAL OF COMPUTATIONAL PHYSICS ›› 2014, Vol. 31 ›› Issue (1): 11-20.

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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

Abstract

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

CLC Number:

O241.82

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.

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

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