Open boundary conditions for internal gravity wave modelling using polarization relations

Ocean Modelling

Volumn 29, Issue 1, 2009, Pages 27-42

  Marsaleix, Patrick ^a   Ulses, Caroline ^a   Pairaud, Ivane ^a   Herrmann, Marine Julie ^a   Floor, Jochem Willem ^a   Estournel, Claude ^a   Auclair, Francis ^a  

^a UNIVERSITÉ DE TOULOUSE   (France)

Author keywords

Internal gravity waves; Multi dimensional; Multi model; Open boundary conditions; Polarization relation; Rotating case

Indexed keywords

INTERNAL GRAVITY WAVES; MULTI-DIMENSIONAL; MULTI-MODEL; OPEN BOUNDARY CONDITIONS; ROTATING CASE;

CONVERGENCE OF NUMERICAL METHODS; CRACK PROPAGATION; GRAVITATIONAL EFFECTS; GRAVITY WAVES; HYDRODYNAMICS; POLARIZATION; ROTATION; THREE DIMENSIONAL; WAVES;

BOUNDARY CONDITIONS;

ABSORBING BOUNDARY; BAROTROPIC WAVE; BOUNDARY CONDITION; GRAVITY WAVE; HYDROSTATICS; INTERNAL WAVE; NUMERICAL MODEL; POLARIZATION; ROTATING FLOW; WAVE MODELING; WAVE PROPAGATION;

ANURA;

EID: 64849095355     PISSN: 14635003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ocemod.2009.02.010     Document Type: Article

References (42)

1. Arakawa A., and Lamb V.R. Computational design of the basic dynamical processes of the UCLA general circulation model. Methods in Computational Physics 17 (1977) 174-267
2. Barnier B., Marchesiello P., De Miranda A.P., Molines J.-M., and Coulibaly M. A sigma-coordinate primitive equation model for studying the circulation in the South Atlantic. Part I: Model configuration with error estimates. Deep Sea Research Part I 45 (1998) 543-572
3. Bennett A.F., and Chua B.S. Open-ocean modelling as an inverse problem: the primitive equation. Monthly Weather Review 122 (1994) 1326-1336
4. Blayo E., and Debreu L. Revisiting open boundary conditions from the point of view of characteristic variables. Ocean Modelling 9 (2005) 231-252
5. Blumberg A.F., and Kantha L.H. Open boundary conditions for circulation models. Journal of Hydraulic Engineering 11 (1985) 237-255
6. Blumberg A.F., and Mellor G.L. A description of a three-dimensional coastal circulation model, three-dimensional coastal ocean models. In: Heaps N. (Ed). Coastal Estuarine Science vol. 4 (1987), AGU, Washington, DC 1-16
7. Bougeault P. A non-reflective upper boundary condition for limited-height hydrostatic models. Monthly Weather Review 111 (1983) 420-429
8. Carter G.S., and Merrifield M.A. Open boundary conditions for regional tidal simulations. Ocean Modelling 18 (2007) 194-209
9. Chini G.P., and Leibovich S. An analysis of the Klemp and Durran radiation boundary condition as applied to dissipative internal waves. Journal of Physical Oceanography 33 (2003) 2394-2407
10. Engquist B., and Mayda A. Absorbing boundary conditions for numerical solution of waves. Mathematics of Computation 31 (1977) 629-651
11. Flather R.A. A tidal model of the northwest european continental shelf. Memoires. Société Royale des Sciences de Liège 6 10 (1976) 141-164
12. Gaspar P., Gregoris Y., and Lefevre J.M. A simple eddy kinetic energy model for simulations of the oceanic vertical mixing: tests at station Papa and long-term upper ocean study site. Journal of Geophysical Research 95 (1990) 16,179-16,193
13. Gerkema T., Lam F.P.A., and Maas L.R.M. Internal tides in the bay of Biscay: conversion rates and seasonal effects. Deep-Sea Research Part II 51 (2004) 2995-3008
14. Gill A.E. Atmosphere-Ocean Dynamics (1982), Academic Press 662 pp
15. Higdon R.L. Radiation boundary conditions for dispersive waves. SIAM Journal on Numerical Analysis 31 (1994) 64-100
16. Jensen T.G. Equatorial variability and resonance in a wind-driven Indian ocean model. Journal of Geophysical Research 98 (1993) 22533-22552
17. Jensen T.G. Open boundary conditions in stratified ocean models. Journal of Marine Systems 16 (1998) 297-322
18. Johns B., Sinha P.C., Dube S.K., Mohanty U.C., and Rao A.D. Simulation of storm surges using a three-dimensional numerical model: an application to the 1977 Andhra Cyclone. Quarterly Journal of the Royal Meteorological Society 109 (1983) 211-224
19. Klemp, J.B., Durran, D.R., 1983. An upper boundary condition permitting internal gravity waves radiation in numerical mesoscale models. Monthly Weather Review 111, 430-444.
20. Kourafalou V.H., Oey L.-Y., Wang J.D., and Lee T.N. The fate of river discharge on the continental shelf, 1, Modelling the river plume and the inner shelf current. Journal of Geophysical Research 101 (1996) 3415-3434
21. Kourafalou V.H., and Tsiaras K.P. A nested circulation model for the North Aegean Sea. Ocean Science Discussions 3 (2006) 343-372
22. Lavelle J.W., and Thacker W.C. A pretty good sponge : dealing with open boundaries in limited-area ocean models. Ocean Modelling 20 (2008) 270-292
23. Marchesiello P., McWilliams J.C., and Shchepetkin A. Open boundary conditions for long-term integration of regional oceanic models. Ocean Modelling 3 (2001) 1-20
24. Martinsen E.A., and Engedahl H. Implementation and testing of lateral boundary schemes as an open boundary condition in a barotropic ocean model. Coastal Engineering 11 (1987) 603-627
25. Marsaleix P., Auclair F., and Estournel C. Considerations on open boundary conditions for regional and coastal ocean models. Journal of Atmospheric and Oceanic Technology 23 (2006) 1604-1613
26. Marsaleix P., Auclair F., Floor J.W., Herrmann M.J., Estournel C., Pairaud I., and Ulses C. Energy conservation issues in sigma-coordinate free-surface ocean models. Ocean Modelling 20 (2008) 61-89
27. Miyakoda K., and Rosati A. One-way nested grid models: The interface conditions and the numerical accuracy. Monthly Weather Review 105 (1977) 1092-1107
28. Morel Y., Baraille R., and Pichon A. Time splitting and linear stability of the slow part of the barotropic component. Ocean Modelling 23 (2008) 73-81
29. Nycander J., and Döös K. Open boundary conditions for barotropic waves. Journal of Geophysical Research 108 C5 (2003) 3168 10.1029/2002JC001529
30. Nycander, J., McC. Hogg A., Leela, M. Frankcombe, L.M., 2008. Open boundary conditions for nonlinear channel flow. Ocean Modelling 24, 108-121.
31. Oey L.Y., and Chen P. A model simulation of circulation in the northeast atlantic shelves ans seas. Journal of Geophysical Research 97 (1992) 20,087-20,115
32. Orlanski I. A simple boundary condition for unbounded hyperbolic flows. Journal of Computational Physics 21 (1976) 251-269
33. Palma E.D., and Matano R.P. On the implementation of passive open boundary conditions for a general circulation model: the barotropic mode. Journal of Geophysical Research 103 (1998) 1319-1341
34. Pichon A., and Correard S. Internal tides modelling in the bay of Biscay. Comparisons with observations. Scientia Marina 70S1 (2006) 65-88
35. Pinardi N., Allen I., Demirov E., De Mey P., Korres G., Lascaratos A., Le Traon P.-Y., Maillard C., Manzella G., and Tziavos C. The Mediterranean Ocean forecasting system: first phase of implementation (1998-2001). Annales Geophysicae 21 (2003) 3-20
36. Raymond W.H., and Kuo H.L. A radiation boundary condition for multidimensional flows. Quarterly Journal of the Royal Meteorological Society 110 (1984) 535-551
37. Shchepetkin A.F., and McWilliams J.C. Regional Ocean Model System: a split-explicit ocean model with a free-surface and topography-following vertical coordinate. Ocean Modelling 9 (2005) 347-404
38. Shulman I. local data assimilation in specification of open boundary conditions. Journal of Atmospheric and Oceanic Technology 14 (1997) 1409-1419
39. Shulman I., Lewis J.K., Blumberg A.F., and Nicholas Kim B. Optimized boundary conditions and data assimilation with application to the M2 tide in the Yellow Sea. Journal of Atmospheric and Oceanic Technology 15 (1998) 1066-1071
40. Sofianos S.S., Skliris N., Mantziafou A., Lascaratos A., Zodiatis G., Lardner R., Hayes D., and Georgiou G. Nesting operational forecasting models in the Eastern Mediterranean: active and slave mode. Ocean Science Discussions 3 (2006) 1225-1254
41. Trefethen L.N. Group velocity in finite difference schemes. SIAM Review 24 (1982) 113-132
42. Treguier A.M., Barnier B., de Miranda A.P., Molines J.M., Grima N., Imbard M., Messager C., Reynaud T., and Michel S. An eddy-permitting model of the Atlantic circulation: evaluating open boundary conditions. Journal of Geophysical Research 106 (2001) 22115-22130