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vertical two-dimensional non-hydrostatic pressure model with single layer

Applied Mathematics and Mechanics(English Edition) 2013年第6期34卷 721-730页

作者：康玲郭晓明 School of Hydropower and Information Engineering Huazhong University of Science and Technology

The vertical two-dimensional non-hydrostatic pressure models with multiple layers can make prediction more accurate than those obtained by the hydrostatic pres- sure assumption. However, they are time-consuming and unstable, which makes them unsuitable for wider application. In this study, an efficient model with a single layer is developed. Decomposing the pressure into the hydrostatic and dynamic components and integrating the x-momentum equation from the bottom to the free surface can yield a horizontal momentum equation, in which the terms relevant to the dynamic pressure are discretized semi-implicitly. The convective terms in the vertical momentum equation are ignored, and the rest of the equation is approximated with the Keller-box scheme. The velocities expressed as the unknown dynamic pressure are substituted into the continuity equation, resulting in a tri-diagonal linear system solved by the Thomas algorithm. The validation of solitary and sinusoidal waves indicates that the present model can provide comparable results to the models with multiple layers but at much lower computation cost.

关键词： vertical two-dimensional model non-hydrostatic pressure single layer,Thomas algorithm wave

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HYDRODYNAMIC modelLING OF ESTUARINE CIRCULATION USING A SPLINE METHOD OF FRACTIONAL STEPS

引用

International Journal of Sediment Research 1990年第1期 67-81页

作者： Pu Wang and R. Kahawita Professor of Mechanics, Lenzhou University, Lanzhou, China. Professor of Civil Ensineering, Ecole Polytechnique de Montreal Canada.

A two-dimensional laterally integrated numerical model has been developed to represent the velocity and salinity distribution in a stratified estuary. The soverning equations expressing the conservation of mass, momentum, and ablt or heat content are solved by a spline method of frachonal steps in combination with the usual finite-difference method. Details of the computational scheme have been included in the present report. The model has been applied to the estuary of ha Riviere Petite beleine (Little Whale River) in the James Bay region of northern canada. Results from the simulation have been compared with salinity and velocity data taken in the field, as well as with the SADI (Spline Alternating Direction Implicit) Procedure. The results indicate that the spline method combined with a fractional step technique for each coordinate direction can be a powerful tool for the numerical solution of estuarine circulation.

关键词： Estuary Spline Fractional-step method Salinity vertical two-dimensional model Numerical simulation Circulation.

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