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论文类型：期刊论文

发表时间：2009-06-01

发表刊物：JOURNAL OF HYDRODYNAMICS

收录刊物：SCIE、EI、Scopus

卷号：21

期号：3

页面范围：352-359

ISSN号：1001-6058

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

摘要：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.