Analysis of efficient preconditioned defect correction methods for nonlinear water waves

DOI10.1002/fld.3873zbMath1455.76021OpenAlexW1710123779WikidataQ57820616 ScholiaQ57820616MaRDI QIDQ4964882

Allan P. Engsig-Karup

Publication date: 4 March 2021

Published in: International Journal for Numerical Methods in Fluids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/fld.3873

zbMATH Keywords

geometric multigridocean engineeringhigh-order finite-difference methodcoastal and maritime engineeringpreconditioned defect correction methodunsteady potential nonlinear free-surface flow

Mathematics Subject Classification ID

Hydrology, hydrography, oceanography (86A05) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Finite difference methods applied to problems in fluid mechanics (76M20) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Numerical solution of discretized equations for initial value and initial-boundary value problems involving PDEs (65M22)

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A mixed Eulerian-Lagrangian spectral element method for nonlinear wave interaction with fixed structures ⋮ A stabilised nodal spectral element method for fully nonlinear water waves ⋮ A multiscale direct solver for the approximation of flows in high contrast porous media ⋮ A geometric multigrid solver for the free-surface equation in environmental models featuring irregular coastlines

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