Open boundary conditions for the primitive and Boussinesq equations

Journal of the Atmospheric Sciences

Volumn 60, Issue 21, 2003, Pages 2647-2660

  Temam, Roger ^a,b   Tribbia, Joseph ^c  

^a INDIANA UNIVERSITY   (United States)

^b UNIVERSITÉ PARIS SACLAY   (France)

^c NATIONAL CENTER FOR ATMOSPHERIC RESEARCH   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY VALUE PROBLEMS; COMPUTER SIMULATION; METEOROLOGY; NUMERICAL METHODS; OCEANOGRAPHY; VISCOSITY;

HYDROSTATIC EQUATION;

BOUNDARY CONDITIONS;

BOUNDARY CONDITION; BOUSSINESQ EQUATION; METEOROLOGY; NUMERICAL MODEL; OCEANOGRAPHY;

EID: 0344719105     PISSN: 00224928     EISSN: None     Source Type: Journal    
DOI: 10.1175/1520-0469(2003)060<2647:OBCFTP>2.0.CO;2     Document Type: Article

References (16)

1. Bennett, A. F., and P. E. Kloeden, 1978: Boundary conditions for limited-area forecasts. J. Atmos. Sci., 35, 990-996.
2. Bennett, A. F., and B. S. Chua, 1999: Open boundary conditions for Lagrangian geophysical fluid dynamics. J. Comput. Phys., 153, 418-436.
3. Charney, J. G., Fjörtoff, and J. von Neumann, 1950: Numerical integration of the barotropic vorticity equations. Tellus, 2, 237-254.
4. Friedlander, S., and D. Serre, Eds., 2002: Handbook of Mathematical Fluid Dynamics. Vol. 1, Elsevier, 816 pp.
5. Friedlander, S., and D. Serre, Eds., 2003: Handbook of Mathematical Fluid Dynamics. Vol. 2, Elsevier, 615 pp.
6. Friedlander, S., and D. Serre, Eds., 2004: Handbook of Mathematical Fluid Dynamics. Vol. 3, Elsevier, in press.
7. Lions, J. L., 2002: Quelques Méthodes de Résolution des Problèmes aux Limites Nonlinéaires. Dunod, 554 pp. (Original edition, 1969.)
8. Lions, J. L., R. Temam, and S. Wang, 1992a: New formulations of the primitive equations of the atmosphere and application. Nonlinearity, 5, 237-288.
9. Lions, J. L., R. Temam, and S. Wang, 1992b: On the equations of the large-scale ocean. Nonlinearity, 5, 1007-1053.
10. Lorenz, E., 1967: The Nature and Theory of the General Circulation of the Atmosphere. World Meteorological Organization, 161 pp.
11. Marchuk, G. I., 1974: Numerical Methods in Weather Prediction. Academic Press, 277 pp. (Translated from Russian.)
12. Oliger, J., and A. Sundström, 1978: Theoretical and practical aspects of some initial boundary value problems in fluid mechanics. SIAM J. Appl. Math., 35, 419-446.
13. Pedlosky, J., 1987: Geophysical Fluid Dynamics. 2d ed. Springer-Verlag, 710 pp.
14. Salmon, R., 1998: Lectures on Geophysical Fluid Dynamics. Oxford University Press, 378 pp.
15. Temam, R., 2001: Navier-Stokes Equations. AMS-Chelsea Series, American Mathematical Society, 408 pp.
16. Warner, T. T., R. A. Peterson, and R. E. Treadon, 1997: A tutorial on lateral boundary conditions as a basic and potentially serious limitation to regional numerical weather prediction. Bull. Amer. Meteor. Soc., 78, 2599-2617.