A finite element method for 3D hydrostatic water flows

Computing and Visualization in Science

Volumn 2, Issue 2-3, 1999, Pages 85-93

  Fontana, L ^a   Miglio, E ^a   Quarteroni, A ^a,b   Saleri, F ^c  

^a POLITECNICO DI MILANO   (Italy)

^b EPFL   (Switzerland)

^c UNIVERSITY OF MILAN   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

HYDRAULICS; NUMERICAL METHODS;

HYDRODYNAMIC EQUATIONS; LINEAR FINITE ELEMENTS; QUASI-3D; RAVIART-THOMAS; VERTICAL DIRECTION; WATER FLOWS;

FINITE ELEMENT METHOD;

EID: 0002202649     PISSN: 14329360     EISSN: 14330369     Source Type: Journal    
DOI: 10.1007/s007910050031     Document Type: Article

References (17)

1. Agoshkov, V.I., Ambrosi, D., Pennati, V., Quarteroni, A., Saleri, F.: Mathematical and numerical modelling of shallow water flow. Comput. Mech. 11, 280-299 (1993)
2. Ambrosi, D.: 2D and quasi-3D models for free surface flow. Report CRS4 App Math. 94-12 (1994)
3. Bardos, C., Bercovier, M., Pironneau, O.: The Vortex Method With Finite Elements. Math. Comp. 36, 119-136 (1981)
4. Bermejo, R.: A Galerkin-characteristics algorithm for transportdiffusion equations. SIAM J. Numer. Anal. 32, 425-454 (1995)
5. Casulli, V., Cheng, R.T.: Semi-implicit finite difference methods for three-dimensional shallow water flow. Int. J. Numer. Meth. Fluids. 15, 629-648 (1992)
6. Douglas, J., Russel, T.F.: Numerical methods for convection-dominated diffusion problems based on combining the method of characteristics with finite element or finite difference procedure. SIAM J. Numer. Anal. 19, 871-885 (1982)
7. Gray, W.G., Lynch, D.R.: On the control of noise in finite element tidal computations: a semi-implicit approach. Comput. Fluids 7, 47-67 (1978)
8. Hervouet, J.M., Janin, J.M., Lepeintre, F., Pechon, P.: TELEMAC 3D: a finite element software to solve 3D free surface flow problems. International Conference on Hydroscience and Engineering. Washington, USA 1993
9. Hinze, J.O.: Turbulence. McGraw-Hill: New York 1975
10. Landau, L.D., Lifshitz, E.M.: Fluid Mechanics. Pergamon Press: Oxford 1959
11. Miglio, E., Quarteroni, A., Saleri, F.: Finite Element Approximation of Quasi-3D Shallow Water Equations. accepted for publication in Comput. Meth. Appl. Mech. Eng. 174(3-4), 355-369 (1998)
12. Pironneau, O.: On the Transport-Diffusion Algorithm and its Applications to the Navier-Stokes Equations. Numer. Math. 38, 309-332 (1982)
13. Quarteroni, A., Valli, A.: Numerical Approximation of Partial Differential Equations. Springer: Berlin 1994
14. Raviart, A.P., Thomas, M.J.: A mixed finite element method for 2nd order elliptic problems. In Mathematical Aspects of Finite Element Methods. Galligani, I., Magenes, E. (eds.). Lecture Notes in Mathematics. p. 292-315. Springer-Verlag: Heidelberg, Berlin 1977
15. Sacco, R., Saleri, F.: Mixed Finite Volume Methods for Semiconductor Devices Simulation. Num. Meth. Part. Diff. Equat. 13, 215-236 (1997)
16. Wilcox, D.C.: Turbulence Modeling for CFD. DCW Industries. La Canada, Cal 1993
17. Wood, W.L.: Introduction to Numerical Methods for Water Resources. Clarendon Press: Oxford 1993