A POD-based reduced-order finite difference extrapolating model with fully second-order accuracy for non-stationary Stokes equations |
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Authors: | Zhendong Luo Fei Teng Zhenhua Di |
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Institution: | 1. School of Mathematics and Physics, North China Electric Power University, Beijing,China;2. School of Mathematics Sciences, Kaili College, Kaili, China;3. College of Global Change and Earth System Science, Beijing Normal University, Beijing, China |
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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. |
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Keywords: | proper orthogonal decomposition finite difference extrapolating model the channel flow non-stationary Stokes equations |
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