Numerical methods for the 3D shallow water equations on vector and parallel computers

DOI10.1016/0168-9274(92)90052-FzbMath0759.76046OpenAlexW2110509223MaRDI QIDQ1188306

E. D. De Goede

Publication date: 13 August 1992

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

Full work available at URL: https://doi.org/10.1016/0168-9274(92)90052-f

zbMATH Keywords

smoothingAlliant FX/4conjugate gradient iteration methodJacobi-type iteration methodunconditionally stable method

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Finite difference methods applied to problems in fluid mechanics (76M20) Iterative numerical methods for linear systems (65F10) Parallel numerical computation (65Y05)

Cites Work

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• Application of the DuFort-Frankel and Saul'ev methods with time splitting to the formulation of a three dimensional hydrodynamic sea model
• Analysis of Smoothing Matrices for the Preconditioning of Elliptic Difference Equations
• Solution of Partial Differential Equations on Vector and Parallel Computers
• A fully implicit splitting method for accurate tidal computations
• Efficient Implementation of a Class of Preconditioned Conjugate Gradient Methods
• A time‐splitting method for the three‐dimensional shallow water equations
• An Iterative Solution Method for Linear Systems of Which the Coefficient Matrix is a Symmetric M-Matrix
• Stabilization of a time integrator for the 3D shallow water equations by smoothing techniques

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