Release Time:2019-03-09  Hits:

Indexed by: Journal Article

Date of Publication: 2009-06-01

Journal: JOURNAL OF HYDRODYNAMICS

Included Journals: Scopus、EI、SCIE

Volume: 21

Issue: 3

Page Number: 352-359

ISSN: 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.