The role of numerical implementation on open boundary behaviour in limited area ocean models

Ocean Modelling

Volumn 27, Issue 1-2, 2009, Pages 18-32

  Herzfeld, M ^a  

^a CSIRO   (Australia)

Author keywords

Boundary conditions; Mathematical modeling; Modelling; Open boundary conditions; Radiation conditions

Indexed keywords

BOUNDARY CONDITIONS; FISCHER-TROPSCH SYNTHESIS; FLOW PATTERNS; VELOCITY;

BAROTROPIC; BOUNDARY CELLS; CELL FACES; CELL LOCATIONS; IMPLEMENTATION METHODS; MATHEMATICAL MODELING; MODEL DOMAINS; MODEL PERFORMANCE; MODELLING; NODE LOCATIONS; NUMERICAL IMPLEMENTATIONS; OCEAN MODELS; OPEN BOUNDARIES; OPEN BOUNDARY CONDITIONS; PRIMITIVE EQUATIONS; RADIATION CONDITIONS; TEST CASE; WIND FORCING;

MATHEMATICAL MODELS;

BOUNDARY CONDITION; MODELING; NUMERICAL METHOD; WAVE FORCE; WIND FORCING;

EID: 59249109062     PISSN: 14635003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ocemod.2008.10.008     Document Type: Article

References (41)

1. Asselin R. Frequency filters for time integrations. Mon. Weather Rev. 100 (1972) 487-490
2. Beardsley R.C., and Haidvogel D.B. Model studies of the wind driven transient circulation in the Middle Atlantic Bight. Part 1:adiabatic boundary conditions. J. Phys. Oceanogr. 11 (1981) 355-375
3. Blayo E., and Debreu L. Revisiting open boundary conditions from the point of view of characteristic variables. Ocean Modell. 9 (2005) 231-252
4. Blumberg A.F., and Herring J. Circulation modelling using orthogonal curvilinear coordinates. In: Nihoul J.C.J., and Jamart B.M. (Eds). Three-Dimensional Models of marine and Estuarine Dynamics (1987), Elsevier
5. Blumberg A.F., and Kantha L.H. Open boundary condition for circulation models. J. Hydraulic Eng. 111 (1985) 237-255
6. Blumberg A.F., and Mellor G.L. A description of a three-dimensional coastal ocean circulation model. In: Heaps N. (Ed). Three-Dimensional Coastal Ocean Models Vol. 4 (1987), American Geophysical Union, Washington, D.C. 208pp
7. Camerlengo A.L., and O'Brien J.J. Open boundary condition in rotating fluids. J. Comput. Physics 35 (1980) 12-35
8. Chapman D.C. Numerical treatment of cross-shelf open boundaries in a barotropic coastal ocean model. J. Phys. Oceanogr. 15 (1985) 1060-1075
9. th Int. Liege Colloq. Ocean Hydrodyn. Scientific Publ. Co., Amsterdam.
10. Dukhovskoy D.S., Morey S.L., and O'Brien J.J. Influence of multi-step topography on barotropic waves and consequences for numerical modeling. Ocean Modell. 14 (2006) 45-60
11. Flather R.A. A tidal model of the northwest European continental shelf. Mem. Soc. R. Sci. Liege 6 10 (1976) 141-164
12. Flather R.A. A numerical model investigation of tides and diurnal-period continental shelf waves along Vancouver Island. J. Phys. Oceanogr. 18 (1988) 115-139
13. Foreman M.G.G. An accuracy analysis of boundary conditions for the forced shallow water equations. J. Comput. Phys. 64 2 (1986) 334-367
14. Griffies, S.M., 2008. Elements of MOM4P1. GFDL Ocean Group Technical Report No. 6. NOAA/Geophysical Fluid Dynamics laboratory.
15. Greatbach R.J., and Otterson T. On the formulation of open boundary conditions at the mouth of a bay. J. Geophys. Res. 96 C10 (1991) 18431-18445
16. Hartree, D.R., 1953. Some practical methos of using characteristics in the calculation of non-steady compressible flow. Rep. AECU-2713, U.S. Att. Energy Comm., Washington, D.C.
17. Hedstrom G.W. Nonreflecting boundary conditions for non-linear hyperbolic systems. J. Comput. Phys. 30 (1979) 222-237
18. Henry, R.F., 1982. Automated programming of explicit shallow water models. Part 1. Linearized models with linear or quadratic friction. Pac. Mar. Sci. Rept. No. 3, Instit. Ocean Sciences, Victoria, B.C., 71 pp.
19. Herzfeld M. An alternative coordinate system for solving finite difference ocean models. Ocean Modell. 14 (2006) 174-196
20. Herzfeld M., and Tomczak M. Numerical modeling of sea surface temperature and circulation in the Great Australian Bight. Prog. Oceanogr. 39 (1997) 29-78
21. Israeli M., and Orszag S.A. Approximation of radiation boundary conditions. J. Comput. Phys. 41 (1981) 115-135
22. Jensen T.G. Open boundary conditions in stratified ocean models. J. Marine Syst. 16 (1998) 297-322
23. Lavelle J.W., and Thacker W.C. A pretty good sponge: dealing with open boundaries in limited-area ocean models. Ocean Modell. 20 (2008) 270-292
24. Leenderste, J.J., 1967. Aspects of a computational model for long period water wave propagation. RAND Corporation Memo. RM-5294-PR.
25. Marchesiello P., McWilliams J.C., and Shchepetkin A. Open boundary conditions for long term integration of regional oceanic models. Ocean Modell. 3 (2001) 1-20
26. Martinsen E.A., and Engedahl H. Implementation and testing of a lateral boundary scheme as an open boundary condition in a barotropic ocean model. Coastal Eng. 11 (1987) 603-627
27. Miller M.J., and Thorpe A.J. Radiation conditions for the lateral boundaries of limited-area numerical models. Q. J. R. Meteorol. Soc. 107 (1981) 615-628
28. Nycander J., and Doos K. Open boundary conditions for barotropic waves. J. Geophys. Res. 108 C5 (2003) 3168
29. Oddo P., and Pinardi N. lateral open boundary conditions for nested limited area models: a scale selective approach. Ocean Modell. 20 (2008) 134-156
30. Oliger J., and Sundstrom A. Theoretical and practical aspects of some initial boundary value problems in fluid dynamics. SIAM J. Appl. Math. 35 (1978) 419-446
31. Orlanski I. A simple boundary condition for unbounded hyperbolic flows. J. Comput. Phys. 21 (1976) 251-269
32. Palma E.D., and Matano R.P. On the implementation of passive open boundary conditions for a general circulation model: The barotropic mode. J. Geophys. Res. 103 C1 (1998) 1319-1341
33. Palma E.D., and Matano R.P. Dynamical impacts associated with radiation boundary conditions. J. Sea Res. 46 (2001) 117-132
34. Raymond W.H., and Kuo H.L. A radiation boundary condition for multidimensional flows. Quart. J. R. Meteorol. Soc. 110 (1984) 535-551
35. Roed L.P., and Cooper C. A study of various open boundary conditions for wind-forced barotropic numerical ocean models. In: Nihoul J.C.J., and Jamart B.M. (Eds). Three Dimensional Models of Marine and Estuarine Dynamics (1987), Elsevier, New York 305-335
36. Roed L.P., and Smedstad O.M. Open boundary conditions for forced waves in a rotating fluid. SIAM J. Sci. Stat. Comput. 5 (1984) 414-426
37. Sommerfeld A. Partial Differential Equations. Lect. Theor. Phys. vol. 6 (1949), Academic, San Diego, Calif
38. Stevens D.P. On open boundary conditions for three dimensional primitive equation ocean circulation models. Geophys. Astrophys. Fluid Dyn. 51 (1990) 103-133
39. Tang Y., and Grimshaw R. Radiation boundary conditions in barotropic coastal ocean numerical models. J. Comput. Phys. 123 (1996) 96-110
40. Wang D., and Moores C.N.K. Coastal-trapped waves in a continuously stratified ocean. J. Phys. Oceanogr. 6 (1976) 853-863
41. Wurtle M.G., Peagle J., and Sielecki A. The use of open boundary conditions with the storm surge equations. Mon. Weather Rev. 99 6 (1971) 537-544