A numerical study of wind-induced motions in shallow coastal seas: Model and basic experiments

DOI10.1016/0307-904X(89)90091-7zbMath0662.76035MaRDI QIDQ1114502

Milivoj Kuzmić

Publication date: 1989

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

zbMATH Keywords

analytical solutionseigenfunction approachforward-time, staggered-space finite difference schemehomogeneous, shallow seaphase-amplitude transformationthree-dimensional linear hydrodynamical numerical model of wind-induced motionsvertical eddy viscosity

Mathematics Subject Classification ID

Hydrology, hydrography, oceanography (86A05) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15)

Related Items (1)

A hybrid spectral method for the three-dimensional numerical modelling of nonlinear flows in shallow seas

Uses Software

• GERK

Cites Work

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• Comparison of the finite difference and Galerkin methods as applied to the solution of the hydrodynamic equations
• On determining the profile of steady wind-induced currents
• On formulating a three-dimensional hydrodynamic sea model with an arbitrary variation of vertical eddy viscosity
• Three dimensional numerical sea model using the Galerkin method with a polynomial basis set
• A slightly modified Prüfer transformation useful for calculating Sturm- Liouville eigenvalues
• Formulation of a linear three-dimensional hydrodynamic sea model using a Galerkin-eigenfunction method
• Global Error Estimates for Ordinary Differential Equations
• Sturm-Liouville Eigenvalues via a Phase Function
• Computation of Eigenvalues of Singular Sturm-Liouville Systems
• An Iterative Method for the Solution of Eigenvalue Problems

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