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Semi-implicit numerical modeling of nonhydrostatic free-surface flows for environmental problems. (English) Zbl 1027.76034
Summary: We describe a semi-implicit numerical model for three-dimensional Navier-Stokes equations on unstructured grids. The governing differential equations are discretized by a finite difference-finite volume algorithm which is robust, 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.

76M20 Finite difference methods applied to problems in fluid mechanics
76D05 Navier-Stokes equations for incompressible viscous fluids
76M12 Finite volume methods applied to problems in fluid mechanics
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