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Indexed by:期刊论文

Date of Publication:2009-06-01

Journal:JOURNAL OF HYDRODYNAMICS

Included Journals:SCIE、EI、Scopus

Volume:21

Issue:3

Page Number:352-359

ISSN No.:1001-6058

Key Words:Navier-Stokes equations; implicit; k - epsilon turbulence model; surface-layer non-hydrostatic treatment; local cell bottom treatment

Abstract:A new non-hydrostatic numerical model with the three-dimensional Navier-Stokes equations on structured grids was constructed and discussed. The algorithm is based upon a staggered finite difference Crank-Nicholson scheme on a Cartesian grid. The eddy viscosity coefficient was calculated by the efficient k - epsilon turbulence model. A new surface-layer non-hydrostatic treatment and a local cell bottom treatment were introduced so that the three-dimensional model is fully non-hydrostatic and is free of any hydrostatic assumption. The developed model is second-order accuracy in both time and space when semi-implicit coefficient is set to 0.5. The validity of the present solution algorithm was demonstrated from its application to the three-dimension channel flow and the wave propagation over a submerged bar problems.