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2014 POD-DEIM Based Model Order Reduction for the Spherical Shallow Water Equations with Turkel-Zwas Finite Difference Discretization
Pengfei Zhao, Cai Liu, Xuan Feng
J. Appl. Math. 2014: 1-10 (2014). DOI: 10.1155/2014/292489

Abstract

We consider the shallow water equations (SWE) in spherical coordinates solved by Turkel-Zwas (T-Z) explicit large time-step scheme. To reduce the dimension of the SWE model, we use a well-known model order reduction method, a proper orthogonal decomposition (POD). As the computational complexity still depends on the number of variables of the full spherical SWE model, we use discrete empirical interpolation method (DEIM) proposed by Sorensen to reduce the computational complexity of the reduced-order model. DEIM is very helpful in evaluating quadratically nonlinear terms in the reduced-order model. The numerical results show that POD-DEIM is computationally very efficient for implementing model order reduction for spherical SWE.

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Pengfei Zhao. Cai Liu. Xuan Feng. "POD-DEIM Based Model Order Reduction for the Spherical Shallow Water Equations with Turkel-Zwas Finite Difference Discretization." J. Appl. Math. 2014 1 - 10, 2014. https://doi.org/10.1155/2014/292489

Information

Published: 2014
First available in Project Euclid: 2 March 2015

zbMATH: 07131491
MathSciNet: MR3240615
Digital Object Identifier: 10.1155/2014/292489

Rights: Copyright © 2014 Hindawi

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