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A POD-based reduced-order finite difference extrapolating model with fully second-order accuracy for non-stationary Stokes equations

 

Zhendong Luo^a*, Fei Teng^b & Zhenhua Di^c

 

a School of Mathematics and Physics, North China Electric Power University, Beijing,China

b School of Mathematics Sciences, Kaili College, Kaili, China

c College of Global Change and Earth System Science, Beijing Normal University, Beijing, China

 

ABSTRACT

A proper orthogonal decomposition (POD) reduced-order finite difference (FD) extrapolating model is established for the channel flow with local expansion denoted by non-stationary Stokes equations. The POD-based reduced-order numerical model to produce the solutions on the time span [T0, T] (T0 ？ T) are obtained by extrapolation and iteration from the very short time span [0, T0] information. The guides to choose the number of POD basis and renew POD basis are provided, and an implementation for solving the POD-based reduced-order FD extrapolating model is given. Some numerical experiments are used to show that the POD-based reduced-order FD extrapolating model is feasible and efficient for simulating the channel flow with local expansion.

 

PUBLISHED BY: INTERNATIONAL JOURNAL OF COMPUTATIONAL FLUID DYNAMICS, 2014, 28 (6-10): 428-436

 

SOURCE: http://www.tandfonline.com/doi/abs/10.1080/10618562.2014.973407#.VKuVwDGUeoc