Structure preserving model order reduction of shallow water equations

DOI10.1002/mma.6751zbMath1484.65181arXiv1907.09406OpenAlexW2963546030MaRDI QIDQ5003823

Murat Uzunca, Bülent Karasözen, Süleyman Yıldız

Publication date: 30 July 2021

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1907.09406

zbMATH Keywords

proper orthogonal decompositionfinite-difference methodslinearly implicit methodsdiscrete empirical interpolationpreservation of invariantstensorial proper orthogonal decomposition

Mathematics Subject Classification ID

Monte Carlo methods (65C05) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Multilinear algebra, tensor calculus (15A69) Numerical methods for Hamiltonian systems including symplectic integrators (65P10) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99)

Related Items (8)

Reduced basis methods for time-dependent problems ⋮ Multilinear POD-DEIM model reduction for 2D and 3D semilinear systems of differential equations ⋮ Structure-preserving reduced-order modeling of Korteweg-de Vries equation ⋮ Global energy preserving model reduction for multi-symplectic PDEs ⋮ Reduced-order modeling for Ablowitz-Ladik equation ⋮ Reduced order modelling of nonlinear cross-diffusion systems ⋮ Intrusive and data-driven reduced order modelling of the rotating thermal shallow water equation ⋮ Full and reduced order model consistency of the nonlinearity discretization in incompressible flows

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