Evaluation of methods for numerical simulation of wetting and drying in shallow water flow models

Coastal Engineering

Volumn 34, Issue 1-2, 1998, Pages 83-107

  Balzano, Andrea ^a  

^a UNIVERSITY OF CAGLIARI   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

ACCESSORIES; COMPUTATIONAL METHODS; COMPUTER SIMULATION; MATHEMATICAL MODELS; OCEAN CURRENTS; TIDES;

EULERIAN-LAGRANGIAN MODELS; SHALLOW WATER; TIDAL FLATS;

FLOW OF WATER;

MATHEMATICAL MODELING; SHALLOW WATER EQUATION; TIDAL FLOW;

FLOW MODELING; SHALLOW-WATER EQUATION;

EID: 0032124928     PISSN: 03783839     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0378-3839(98)00015-5     Document Type: Article

References (31)

1. Balzano, A., 1996. A semi-implicit model for 2D tidal flow currents. Internal Report, CRS4.
2. Benqué, J.P., Cunge, J.A., Feuillet, J., Hauguel, A., e Holly, P.M. Jr., 1982. New method for tidal current computation. J. Waterways, Port, Coastal Ocean Division, ASCE 108, 396-417.
3. Casulli, V., 1990. Semi-implicit finite difference methods for the two-dimensional shallow water equations. J. Comput. Phys. 86, 56-74.
4. Casulli, V., Cheng, R.T., 1993. Semi-implicit finite difference methods for three-dimensional shallow water flow. Int. J. Numerical Methods Fluids 15. Wiley, New York, pp. 629-648.
5. Defina, A., D'Alpaos, L., 1994. A new set of equations for very shallow water and partially dry areas suitable to 2D numerical models. Proc. Specialty Conference on Modelling of Flood Propagation Over Initially Dry Areas. ASCE, pp. 72-81.
6. Falconer, R.A., 1986. A water quality simulation study of a natural harbor. J. Waterway, Port, Coastal Ocean Eng. Division, ASCE 112 (1), 15-34.
7. Falconer, R.A., Owens, P.H., 1987. Numerical simulation of flooding and drying in a depth-averaged tidal flow model. Proc. Instn. Civ. Engrs. Part 2, Mar. 83, pp. 161-180.
8. Falconer, R.A., Wolanski, E., Mardapitta-Hadjipandeli, L., 1986. Modeling tidal circulation in an island's wake. J. Waterway Port Coastal Ocean Eng., ASCE 112 (2), 234-254.
9. Flather, R.A., Heaps, N.S., 1975. Tidal computations for Morecambe Bay. Geophys. J. Roy. Astr. Soc. 42, 489-517.
10. Holz, K.P., Nitsche, G., 1982. Tidal wave analysis for estuaries with intertidal flats. Adv. Water Resour. 5, 142-148.
11. Hromadka, T.V., Berenbrock, C.E., Freckleton, J.R., Guymon, G.L., 1985. A two-dimensional dam-break flood plain model. Adv. Water Resour. 8.
12. Johns, B., 1982. Numerical integration of the shallow water equations over a sloping beach. Int. J. Numerical Methods Fluids 2, 253-261.
13. Kowalik, Z., Bang, I., 1987. Numerical computation of tsunami run-up by the upstream derivative method. Sci. Tsunami Hazards 5 (2), 77-84.
14. Kowalik, Z., Murty, T.S., 1993. Numerical Modeling of Ocean Dynamics. World Scientific, Singapore, pp. 154-159, 190-200.
15. L'atkher, V.M., Militev, A.N., Shkol'nikov, S.Ya., 1978. Calculation of the tsunami run-up. In: Tsunami Research in the Open Ocean. NAUKA, Moscow, pp. 48-55.
16. Leendertse, J.J., 1970. A Water-quality Simulation Model for Well-mixed Estuaries and Coastal Seas, Vol. 1, Principles of Computation. Rand, Santa Monica, February, RM-6230-RC.
17. Leendertse, J.J., 1987. Aspects of SIMSYS, A System for Two-Dimensional Flow Computations. RAND Publication R-3572-USGS, February.
18. Lewis, C.H., Adams, W.M., 1983. Development of a Tsunami-flooding Model Having Versatile Formulation of Moving Boundary Conditions. The Tsunami Society Monograph Series, No. 1.
19. Lynch, D.R., Gray, W.G., 1978. Finite Element Simulation of Shallow Water Problems with Moving Boundaries. Finite Elements in Water Resources. Pentech Press, London, pp. 2.23-2.42.
20. Mader, L.C., 1988. Numerical Modeling of Water Waves. Univ. of California Press, Berkeley, CA.
21. Mesinger, F., Arakawa, A., 1976. Numerical Methods Used in Atmospheric Models. GARP Publication Series, No. 17, Vol. 1, August.
22. Molinaro, P., Di Filippo, A., Ferrari, F., 1994. Modelling of flood wave propagation over flat dry areas of complex topography in presence of different Infrastructures. In: Proc. Specialty Conference on Modelling of Flood Propagation Over Initially Dry Areas. ASCE, pp. 209-228.
23. Reid, R.O., Bodine, B.R., 1968. Numerical model for storm surges in Galveston Bay. J. Waterways Harbors Division, ASCE 94 (WW1), 33-57.
24. Reid, R.O., Whitaker, R.E., 1976. Wind-driven flow of water influenced by a canopy. J. Waterways, Harbors Coastal Eng. Division, ASCE 102 (WW1), 61-77.
25. Sielecki, A., Wurtele, M.G., 1970. The numerical integration of the nonlinear shallow-water equations with sloping boundaries. J. Comput. Phys. 6, 219-236.
26. Stelling, G.S., 1984. On the construction of computational methods for shallow water equations. Rijkswater-staat communication No. 35/1984.
27. Stelling, G.S., Wiersma, A.K., Willemse, J.B.T.M., 1986. Practical aspects of accurate tidal computations. J. Hydraulic Eng., ASCE 112 (9), 802-817.
28. Takeda, H., 1984. Numerical simulation of run-up by the variable transformation. J. Oceanogr. Soc. Jpn. 40, 271-278.
29. Thacker, W.C., 1981. Some exact solutions to the nonlinear shallow-water wave equations. J. Fluid Mechanics 107, 499-508.
30. Thomas, W.A., McAnnaly, W.H., 1990. User's manual for the generalized computer program system: Open-channel flow and sedimentation. TABS-2. U.S. Army Waterways Experimental Station, Vicksburg, MS.
31. Umgiesser, G., Sundermann, J., Runca, E., 1988. A semi-implicit finite element model for the lagoon of Venice. In: Schrefler, Zienkiewicz (Eds.), Computer Modelling in Ocean Engineering. Balkema, Rotterdam, pp. 71-79.