Comparative study of different advective schemes: Application to the MECCA model

Environmental Fluid Mechanics

Volumn 1, Issue 4, 2001, Pages 361-381

  Smaoui, H ^a   Radi, B ^a,b  

^a Ecole Nationale Superieure d'Arts et Metiers Meknes   (Morocco)

^b FACULTÉ DES SCIENCES   (Morocco)

Author keywords

Coastal flow; Flux limiter; Numerical diffusion; Tide; TVD schemes

Indexed keywords

EID: 0041376949     PISSN: 15677419     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1015764813423     Document Type: Article

References (22)

1. Blumberg, A. and Mellor, G.: 1987, A description of a three-dimensional coastal ocean circulation model, in three-dimensional coastal ocean models, Coast. Estuarine Sci. 4, 1-16.
2. Cox, M.D.: 1984, A primitive equation three-dimensional model of the ocean. Report No. 1, CFDL/NOAA, Princeton University, Princeton NJ.
3. Gerdes, J.: 1990, A review of the advective schemes for ocean modelling, Dyn. Clim. 20, 312-342.
4. Borris, J.P. and Brook, D.L.: 1984, Flux corrected transport I, SHASTA, a fluid transport algorithm that works, J. Comput Phys. 11, 38-69.
5. Hecht, M.W., Holland, W.R. and Rasch, J.: 1995, Upwind weighted advection schemes for ocean tracer transport: An evaluation in passive tracer context, J. Geophys. Res. 100, 20763-20778.
6. Brylinski, J.M. and Lagadeuc, Y.: 1990, L'interface eaux côtières/eaux de large dans le Pas-de-Calais (côte Française): Une zone frontale, C. R. Acad. Sci. ser. II, 311, 535-540.
7. Smaoui, H.: 1996, Three-dimensional numerical modeling of hydrodynamics and sediment transport in the English channel and the Southern part of the North Sea using MECCA model. Ph.D. Thesis, University of Lille1, France (in French).
8. Spekreijse, S.P.: 1987, Multigrid solution of monotone second-order discretization of hyperbolic conservation laws, Math. Comput. 49, 135-155.
9. Sweby, P.K.: 1984, High-resolution schemes using flux limiters for hyperbolic conservation laws, SIAM J. Num. Anal. 21, 995-1011.
10. Leveque, R.: 1996, High-resolution conservative algorithms for advection in compressible flow, SIAM J. Num. Anal. 33, 627-665.
11. Durran, D.R.: 1998, Numerical Methods for Wave Equations in Geophysical Fluid Dynamics, Springer-Verlag, 482 pp.
12. Vreugdenhil, C.B. and Koren, B. (eds.): 1993, Numerical Methods for Advection-Diffusion Problems. Numerical Methods in Fluids Mechanics, Vol. 45, Vieweg, Braunschweig.
13. Smaoui, H.: 1996, Résolution numérique de l'équation de transport scalaire par des schemas de type limiteur de pente: Application aux écoulements côtiers. Repport DYSCOP, ANO and Ecologie Numerique, Université de Lillel, France.
14. Hess, K.W.: 1985, Assessment model for estuarine circulation and salinity (MECCA model), NOAA Technical Memorandum, NESDIS AISC 3.
15. Smagorinsky, J.: 1963, General circulation experiments with the primitive equations I: The basic experiment. Mon. Wea. Rev. 91, 99-164.
16. Le Provost, C. and Fornerino, M.: 1985, Tidal spectroscopy of the English channel with a numerical model. J. Phys. Oceanog. 11, 1009-1031.
17. Nguyen, K.D. and Ouahsine, A.: 1997, 2D Numerical study on tidal circulation in Strait of Dover, Journal of Waterway, Port, Coastal and Ocean Engineering, January/February, 8-15.
18. Davies, A.M., Luyten, P.J. and Deleersnijder, E.: 1995, Turbulence energy models in shallow sea oceanography, Coast. Estuarine Stud. 47, 97-123.
19. Blackadar, A.K.: 1962, The vertical distribution of wind and turbulent exchange in a neutral atmosphere, J. Geophys. Res. 67, 3095-3102.
20. Munk, W.H. and Anderson, E.P.: 1948, Note on the theory of the thermocline. J. Mar. Res. 1, 276-295.
21. Fletcher, C.A.J.: 1988, Computational Techniques for Fluid Dynamics, Vol. 1, Springer-Verlag, 420 pp.
22. Roe, B. and Sidilkover, D.: 1992, Optimum positive linear schemes for advection in two and three dimensions, SIAM J. Num. Anal. 29, 1542-1568.