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A semi-implicit finite difference method for non-hydrostatic, free-surface flows

โœ Scribed by Vincenzo Casulli

Publisher
John Wiley and Sons
Year
1999
Tongue
English
Weight
272 KB
Volume
30
Category
Article
ISSN
0271-2091

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โœฆ Synopsis

In this paper a semi-implicit finite difference model for non-hydrostatic, free-surface flows is analyzed and discussed. It is shown that the present algorithm is generally more accurate than recently developed models for quasi-hydrostatic flows. The governing equations are the free-surface Navier -Stokes equations defined on a general, irregular domain of arbitrary scale. The momentum equations, the incompressibility condition and the equation for the free-surface are integrated by a semi-implicit algorithm in such a fashion that the resulting numerical solution is mass conservative and unconditionally stable with respect to the gravity wave speed, wind stress, vertical viscosity and bottom friction.

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