A modified SOR method for the Poisson equation in unsteady free-surface flow calculations

DOI10.1016/0021-9991(85)90020-8zbMath0598.65076OpenAlexW2015949161MaRDI QIDQ1079931

Marcel H. M. Ellenbroek, Eugen F. F. Botta

Publication date: 1985

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-9991(85)90020-8

zbMATH Keywords

successive overrelaxationPoisson equationcomplex eigenvaluesfaster convergenceirregular free boundaries

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Iterative numerical methods for linear systems (65F10) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)

Related Items (4)

Numerical simulation of hydrodynamic wave loading by a compressible two-phase flow method ⋮ An absorbing boundary condition for free surface water waves ⋮ The numerical simulation of liquid sloshing on board spacecraft ⋮ A volume-of-fluid based simulation method for wave impact problems

Cites Work

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• Volume of fluid (VOF) method for the dynamics of free boundaries
• On local relaxation methods and their application to convection-diffusion equations
• Multigrid methods. Proceedings of the Conference Held at Köln-Porz, November 23-27, 1981
• Improved free surface boundary conditions for numerical incompressible- flow calculations
• Axisymmetric liquid sloshing under low-gravity conditions
• An Iterative Solution Method for Linear Systems of Which the Coefficient Matrix is a Symmetric M-Matrix
• The Methods of Cyclic Reduction, Fourier Analysis and the FACR Algorithm for the Discrete Solution of Poisson’s Equation on a Rectangle

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