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A MULTIGRID-ACCELERATED THREE-DIMENSIONAL TRANSIENT-FLOW CODE AND ITS APPLICATION TO A NEW TEST PROBLEM

Journal of Hydrodynamics 2010年第6期22卷 838-846页

作者： KUMAR D.Santhosh DASS Anoop K. DEWAN Anupam School of Mechanical and Building Science Vellore Institute of TechnologyVellore-632014India Department of Mechanical Engineering Indian Institute of Technology GuwahatiGuwahati-781039India Department of Applied Mechanics Indian Institute of Technology Delhi Hauz KhasNew Delhi-110016India

A multigrid-assisted solver tbr the three-dimensional time-dependent incompressible Navier-Stokes equations on graded Cartesian meshes is developed. The spatial accuracy is third-order for the convective terms and fourth-order for the viscous terms, and a fractional-step strategy ensures second-order time accuracy. To achieve good time-wise efficiency a multigrid technique is used to solve the highly time-consuming pressure-Poisson equation that requires to be solved at every time step. The speed-up achieved by multigrid is shown in tabular form. The performance and accuracy of the code are first ascertained by computing the flow in a single-sided lid-driven cubic cavity with good grid-economy and comparing the results available in the literature. The code, thus validated, is then applied to a new test problem we propose and various transient and asymptotically obtained steady-state results are presented. Given the care taken to establish the credibility of the code and the good spatio-temporal accuracy of the discretization, these results are accurate and may be used for ascertaining the performance of any computational algorithm applied to this test problem.

关键词： incompressible flows three-dimensional cavity flow fractional-step method multigrid method Taylor-Gorier-Like (TGL) vortices grid transformation

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HYDRODYNAMIC MODELLING OF ESTUARINE CIRCULATION USING A SPLINE method OF fractional stepS

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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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