Open boundary conditions for nonlinear channel flow

Ocean Modelling

Volumn 24, Issue 3-4, 2008, Pages 108-121

  Nycander, Jonas ^a   Hogg, Andrew McC ^b   Frankcombe, Leela M ^b  

^a STOCKHOLM UNIVERSITY   (Sweden)

^b AUSTRALIAN NATIONAL UNIVERSITY   (Australia)

Author keywords

Boundary conditions; Hydraulic flow; Ocean model

Indexed keywords

ANTIFERROELECTRIC MATERIALS; BOUNDARY VALUE PROBLEMS; CONSERVATION; OFFSHORE OIL WELL PRODUCTION;

EXTERNAL-; HYDRAULIC FLOW; INTERNAL MODES; LINEAR CONDITIONS; MULTI LAYERING; NON-LINEAR CHANNEL; NON-LINEAR CHARACTERISTICS; OCEAN MODEL; ONE-DIMENSIONAL; OPEN BOUNDARY CONDITIONS; SHALLOW-WATER EQUATIONS; TAYLOR EXPANSIONS; TWO LAYERS;

BOUNDARY CONDITIONS;

BOUNDARY CONDITION; CHANNEL FLOW; HYDRAULICS; NONLINEARITY; ONE-DIMENSIONAL MODELING; SHALLOW-WATER EQUATION;

EID: 49649083029     PISSN: 14635003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ocemod.2008.06.003     Document Type: Article

References (22)

1. Acheson D.J. Elementary Fluid Dynamics (1990), Oxford University Press, Oxford 408pp
2. Armi L. The hydraulics of two flowing layers with different densities. J. Fluid Mech. 163 (1986) 27-58
3. Baines P.G. Topographic Effects in Stratified Flows (1998), Cambridge University Press, Cambridge 482pp
4. Binnie A.M. The passage of a perfect fluid through a critical cross-section or 'throat'. Proc. R. Soc. Lond. 197 (1949) 545-555
5. Blayo E., and Debreu L. Revisiting open boundary conditions from the point of view of characteristic variables. Ocean Model. 9 (2005) 231-252
6. Davies H.C. Limitations of some common lateral boundary schemes used in NWP models. Mon. Wea. Rev. 111 (1983) 1002-1012
7. Flather R.A. A tidal model of the north-west European continental shelf. Mem. Soc. R. Sci. Liege 10 6 (1976) 141-164
8. Lane-Serff G.F., Smeed D.A., and Postlethwaite C.R. Multi-layer hydraulic exchange flows. J. Fluid Mech. 416 (2000) 269-296
9. Lawrence G.A. On the hydraulics of Boussinesq and non-Boussinesq two-layer flows. J. Fluid Mech. 215 (1990) 457-480
10. McDonald A. A step toward transparent boundary conditions for meteorological fields. Mon. Wea. Rev. 130 (2002) 140-151
11. McDonald A. Transparent boundary conditions for the shallow-water equations: testing in a nested environment. Mon. Wea. Rev. 131 (2003) 698-705
12. McDonald A. Transparent lateral boundary conditions for baroclinic waves: a study of two elementary systems of equations. Tellus 57A (2005) 171-182
13. Nycander J., and Döös K. Open boundary conditions for barotropic waves. J. Geophys. Res. 108 (2003) 10.1029/2002JC001529
14. Oǧuz T., and Sur H.I. A two-layer model of water exchange through the Dardanelles Strait. Oceanologica Acta 12 (1989) 23-31
15. Oǧuz T., Özsoy E., Latif M.A., Sur H.I., and Ünlüata U. Modelling of hydraulically controlled exchange flow in the Bosphorous Strait. J. Phys. Oceanogr. 14 (1990) 945-965
16. 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
17. Pearson C.E., and Winter D.F. On tidal motion in a stratified inlet, with particular reference to boundary conditions. J. Phys. Oceanogr. 14 (1984) 1307-1314
18. Strikwerda J.C. Finite Difference Schemes and Partial Differential Equations (1989), Chapman & Hall, New York, NY 386pp
19. Trefethen L.N. Group velocity in finite difference schemes. SIAM Rev. 24 (1982) 113-136
20. Treguier A.M., Barnier B., de Miranda A.P., Molines J.M., Grima N., Imbard M., Madec G., Messager C., Reynald T., and Michel S. An eddy-permitting model of the Atlantic circulation: evaluating open boundary conditions. J. Geophys. Res. 106 C10 (2001) 22115-22129
21. Vreugdenhil C.B. Numerical Methods for Shallow-Water Flow (1994), Kluwer, Dordrecht 261pp
22. Wood I.R. A lock exchange flow. J. Fluid Mech. 42 (1970) 671-687