Semi-implicit numerical modeling of nonhydrostatic free-surface flows for environmental problems

Authors:
V. Casulli;P. Zanolli
Affiliations:
Department of Civil and Environmental Engineering University of Trento, 38050 Povo (Trento, Italy;Department of Mathematics University of Trento, 38050 Povo (Trento, Italy
Venue:
Mathematical and Computer Modelling: An International Journal
Year:
2002

Citing 3
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Abstract

A semi-implicit numerical model for the three-dimensional Navier-Stokes equations on unstructured grids is derived and discussed. The governing differential equations are discretized by means of a finite difference-finite volume algorithm which is robust, very efficient, and applies to barotropic and baroclinic, hydrostatic and nonhydrostatic, and one-, two-, and three-dimensional flow problems. The resulting model is relatively simple, mass conservative, and unconditionally stable with respect to the gravity wave speed, wind stress, vertical viscosity, and bottom friction.