摘要:

AbstractTwo‐dimensional initial‐boundary value problems are considered for the shallow water equations and the equation of advection and dispersion of pollutants. The problems are solved in curvilinear boundary fitted co‐ordinates. The transformed equations are integrated on a regular grid by the semi‐implicit and implicit finite difference methods. Based on the numerical method, the integrated modelling systemCardinalfor coastal area dynamics and pollution processes is developed for application on personal computers. Examples of computations ar

ISSN:0271-2091    

DOI:10.1002/fld.1650190302

出版商:John Wiley&Sons, Ltd    

年代:1994

数据来源: WILEY

摘要:

AbstractThis paper presents results obtained by employing a modified Galerkin finite element method to analyse the steady state flow of a fluid contained between two concentric, rotating spheres. The spheres are assumed to be rigid and the cavity region between the spheres is filled with an incompressible, viscous, Newtonian fluid. The inner sphere is constrained to rotate about a vertical axis with a prescribed angular velocity, while the outer sphere is fixed. Results for the circumferential function Ω, streamfunction ψ, vorticity function ζ and inner boundary torque T1are presented for Reynolds numbersRe⩽ 2000 and radius ratios 0.1 ⩽ α ⩽ 0.9. The method proved effective for obtaining results for a wide range of radius ratios (0.1 ⩽ α ⩽ 0.9) and Reynolds numbers (0 ⩽Re⩽ 2000). Previous investigators who employed the finite difference method experienced difficulties in obtaining results for cases with radius ratios α ⩽ 0.2, except for small Reynolds numbers (Re⩽ 100). Results for Ω, Ψ, ζ andT1obtained in this study for radius ratios 0.8 ≤ α ≤ 0.9 verified the development of Taylor vortices reported by other investigators. The research indicates that the method may be useful for analysing other

ISSN:0271-2091    

DOI:10.1002/fld.1650190303

出版商:John Wiley&Sons, Ltd    

年代:1994

数据来源: WILEY

摘要:

AbstractA recently developed mesoscale numerical model has been applied to the Athens Basin in order to provide a detailed description of the mean flow and pollution levels under neutral atmospheric conditions. The model is based on the numerical solution of the time‐averaged Navier‐Stokes equations written in their contravariant strong conservation form in a generalized non‐orthogonal co‐ordinate system. Before its application to the Athens Basin case, the reliability of the model was tested by predicting the flow and concentration fields over a three‐dimensional hill. The predicted results agree favourably with available experimental data, demonstrating the validity, flexibility and economy of the model for flows in three‐dimensional comp

ISSN:0271-2091    

DOI:10.1002/fld.1650190304

出版商:John Wiley&Sons, Ltd    

年代:1994

数据来源: WILEY

摘要:

AbstractA partially implicit method for the unsteady compressible Navier‐Stokes equations is developed. The method is based on an explicit treatment of streamwise fluxes and an implicit treatment of normal fluxes. This leads to a linear system which is generated by an efficient finite difference procedure and which is block pentadiagonal. The method is tested on a shock‐induced oscillatory flow over an aerofoil. Parallel implementations of an explicit, fully implicit and partially implicit method are investiga

ISSN:0271-2091    

DOI:10.1002/fld.1650190305

出版商:John Wiley&Sons, Ltd    

年代:1994

数据来源: WILEY

ISSN:0271-2091    

DOI:10.1002/fld.1650190306

出版商:John Wiley&Sons, Ltd    

年代:1994

数据来源: WILEY

ISSN:0271-2091    

DOI:10.1002/fld.1650190307

出版商:John Wiley&Sons, Ltd    

年代:1994

数据来源: WILEY

ISSN:0271-2091    

DOI:10.1002/fld.1650190301

出版商:John Wiley&Sons, Ltd    

年代:1994

数据来源: WILEY