An efficient operator splitting scheme for three-dimensional hydrodynamic computations

International Journal for Numerical Methods in Fluids

Volumn 26, Issue 7, 1998, Pages 771-789

  Lu, Qimiao ^a   Wai, Onyx W H ^a  

^a HONG KONG POLYTECHNIC UNIVERSITY   (Hong Kong)

Author keywords

Eulerian lagrangian method; Hybrid method; Shallow water equation; Sigma co ordinate transformation; Splitting method; Three dimensional numerical method

Indexed keywords

APPROXIMATION THEORY; COMPUTATIONAL METHODS; CONVERGENCE OF NUMERICAL METHODS; DIFFUSION IN LIQUIDS; FINITE DIFFERENCE METHOD; FINITE ELEMENT METHOD; MATHEMATICAL MODELS; MATHEMATICAL OPERATORS; MATHEMATICAL TRANSFORMATIONS; PARTIAL DIFFERENTIAL EQUATIONS;

CORIOLIS FORCE; EULERIAN LAGRANGIAN METHOD; OPERATOR SPLITTING METHOD; SHALLOW WATER EQUATION;

HYDRODYNAMICS;

HYDRODYNAMICS; MATHEMATICAL TECHNIQUE; SHALLOW WATER EQUATION;

HYDRODYNAMICS; NUMERICAL ANALYSIS; SHALLOW WATER;

EID: 0032052306     PISSN: 02712091     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1097-0363(19980415)26:7<771::AID-FLD672>3.0.CO;2-7     Document Type: Article

References (16)

1. S.R. Signorimi, 'A three-dimensional numerical model of circulation and diffusion-advection processes for estuarine and coastal application by finite element method', in T. Kawai (ed.), Finite Element Flow Analysis, University of Tokyo Press, Tokyo, 1982, pp. 603-610.
2. M. Kawahara, M. Kobayashi and K. Nakata, 'A three dimensional multiple level finite element method considering variable water density', in R.H. Gallagher, D.H. Norrie, J.T. Oden and O.C. Zienkiewicz (eds.), Finite Element in Fluids, Vol. 4, Wiley, Chichester, 1982, pp. 129-156.
3. Y.S. Li and J.M. Zhan, 'An efficient three-dimensional semi-implicit finite element scheme for simulation of free surface flows', Int. j numer. methods fluids, 16, 187-198 (1993).
4. J.P. Benque, J.A. Cunge, J. Feuillet, A. Hanguel and F.M. Holly, 'New method of tidal current computations', J. Waterway, Port, Coastal Ocean Div. ASCE, 108, 396-417 (1982).
5. J. Nicholson and B.A. O'Connor, 'Cohesive sediment transport model', J. Hydraulic Eng ASCE, 112, 621-640 (1986).
6. P. Wilders, Th.L. van Stijn, G.S. Stelling and G.A. Fokkema, 'A fully implicit splitting method for accurate tidal computations', Int. j. immer, methods eng., 26, 2707-2721 (1988).
7. E.D. De Goede, 'A time-splitting method for the three-dimensional shallow water equations', Int. j. numer. methods fluids, 13, 519-534 (1991).
8. J.J. Leendertse, 'Aspects of a computational model for long period water wave propagation', Memorandum RM-5294-PR, Rand, Santa Monica, CA, 1967.
9. T.J. Weare, 'Errors arising from irregular boundaries in ADI solutions of the shallow water equations', Int. j. numer. methods eng, 14, 921-931 (1979).
10. V. Casulli, 'Semi-implicit finite difference methods for the two-dimensional shallow water equations', J. Comput. Phys. 86, 56-74 (1990).
11. V. Casulli and R.T. Cheng, 'Semi-implicit finite difference methods for three-dimensional shallow water flow', Int. j. numer. methods fluids, 15, 629-648 (1992).
12. F. Thomasset, Implementation of Finite Element Methods for Navier-Stokes Equation, Springer, New York, 1981.
13. R. Glowwinski and O. Pironneau, 'On a mixed finite element approximation of Stokes problem', Numerische Mathematik, 33, 397-424 (1979).
14. A.M. Davies and A. Owen, 'Three dimensional numerical sea model using the Galerkin method with a polynomial basis set', Appl. Math. Model., 3, 421-428 (1979).
15. G. Gomini, M. Manzan and C. Nonino, 'Analysis of finite element schemes for convection-type problems', Int. j. numer. methods fluids, 20, 443-458 (1995).
16. C. Koutitas and B. O'Connor, 'Modeling three-dimensional wind-induced flows', J. Hydraul. Div., ASCE, 106, 1843-1865 (1980).