On the numerical solution of the turbulence energy equations for wave and tidal flows
作者:
A. M. Davies,
J. E. Jones,
期刊:
International Journal for Numerical Methods in Fluids
(WILEY Available online 1991)
卷期:
Volume 12,
issue 1
页码: 17-41
ISSN:0271-2091
年代: 1991
DOI:10.1002/fld.1650120103
出版商: John Wiley&Sons, Ltd
关键词: Finite difference;Hydrodynamic;Turbulence energy;Tidal;Wind wave
数据来源: WILEY
摘要:
AbstractThis paper deals with the numerical solution, using finite difference methods, of the hydrodynamic and turbulence energy equations which describe wind wave and tidally induced flow.Calculations are performed using staggered and non‐staggered finite difference grids in the vertical, with various time discretizations of the production and dissipation terms in the turbulence energy equations. It is shown that the time discretization of these terms can significantly influence the stability of the solution. The effect of time filtering on the numerical stability of the solution is also considered. The form of the mixing length is shown to significantly influence the bed stress in wind wave problems.A no‐slip condition is applied at the sea bed, and the associated high‐shear bottom boundary layer is resolved by transforming the equations onto a logarithmic or log‐linear co‐ordinate system before applying the finite difference scheme.A computationally economic method is developed which remains stable even when a very fine vertical grid (over 200 points) is used with a time step of up
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