POD-DEIM based model order reduction for the spherical shallow water equations with Turkel-Zwas finite difference discretization

DOI10.1155/2014/292489zbMath1437.76037OpenAlexW2022291436WikidataQ59050742 ScholiaQ59050742MaRDI QIDQ2336306

Pengfei Zhao, Xuan Feng, Cai Liu

Publication date: 19 November 2019

Published in: Journal of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2014/292489

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Finite difference methods applied to problems in fluid mechanics (76M20)

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Uses Software

• Exshall
• FEUDX

Cites Work

• Nonlinear model reduction for the Navier-Stokes equations using residual DEIM method
• High-order finite-volume methods for the shallow-water equations on the sphere
• Analysis of the Turkel-Zwas scheme for the shallow-water equations
• Analysis of the Turkel-Zwas scheme for the two-dimensional shallow water equations in spherical coordinates
• An `empirical interpolation' method: Application to efficient reduced-basis discretization of partial differential equations
• Semi-implicit finite difference methods for the two-dimensional shallow water equations
• Principal component analysis.
• POD/DEIM nonlinear model order reduction of an ADI implicit shallow water equations model
• A State Space Error Estimate for POD-DEIM Nonlinear Model Reduction
• Discrete Empirical Interpolation in POD Model Order Reduction of Drift-Diffusion Equations in Electrical Networks
• Nonlinear Model Reduction via Discrete Empirical Interpolation
• On a Class of High Resolution Total-Variation-Stable Finite-Difference Schemes
• Efficiency of a POD-based reduced second-order adjoint model in 4D-Var data assimilation
• A reduced-order approach to four-dimensional variational data assimilation using proper orthogonal decomposition
• Application of POD and DEIM on dimension reduction of non-linear miscible viscous fingering in porous media

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