Characteristic-based split (CBS) algorithm finite element modelling for shallow waters in the Venice lagoon

International Journal for Numerical Methods in Engineering

Volumn 66, Issue 10, 2006, Pages 1641-1657

  Morandi Cecchi, M ^a   Venturin, M ^a  

^a UNIVERSITY OF PADOVA   (Italy)

Author keywords

CBS algorithm; Finite element method; Fluid dynamics; Shallow water equations; Shallow water problems

Indexed keywords

ALGORITHMS; APPROXIMATION THEORY; FINITE ELEMENT METHOD; FLUID DYNAMICS; MATHEMATICAL MODELS; TIDES;

CHARACTERISTIC-BASED SPLIT (CBS) ALGORITHM; SHALLOW-WATER EQUATIONS; SHALLOW-WATER PROBLEMS;

WATER WAVES;

ALGORITHMS; APPROXIMATION THEORY; FINITE ELEMENT METHOD; FLUID DYNAMICS; MATHEMATICAL MODELS; TIDES; WATER WAVES;

EID: 33745450118     PISSN: 00295981     EISSN: 10970207     Source Type: Journal    
DOI: 10.1002/nme.1690     Document Type: Article

References (18)

1. Morandi-Cecchi M, Pica A, Secco E. A projection methods for shallow water equations. International Journal for Numerical Methods in Fluids 1998; 27(25):81-95.
2. Morandi-Cecchi M, Salasnich L. Shallow water theory and its application to the Venice lagoon. Computer Methods in Applied Mechanics and Engineering 1998; 151:63-74.
3. Morandi-Cecchi M, Salasnich L. The shallow water equations: state of the art and new trends. In Computational Fluid Dynamics Review 1998, Hafez M, Oshima K (eds). World Scientific: Singapore, 1998; 972-993.
4. Zienkiewicz OC, Ortiz P. A split-characteristic based finite element model for the shallow water equations. International Journal for Numerical Methods in Engineering 1995; 20:1061-1080.
5. Zienkiewicz OC, Codina R. A general algorithm for compressible and incompressible flow - Part I. The split characteristic-based scheme. International Journal for Numerical Methods in Fluids 1995; 20:869-885.
6. Zienkiewicz OC, Nithiarasu P, Codina R, Vazquez M, Ortiz P. The characteristic-based-split procedure: an efficient and accurate algorithm for fluid problems. International Journal for Numerical Methods in Fluids 1999; 31:359-392.
7. Zienkiewicz OC, Taylor RL. The Finite Element Method, vol. 3 (5th edn), Butterworth-Heinemann: London, 2000.
8. Chorin AJ. Numerical solution of the Navier-Stokes equations. Mathematics of Computation 1968; 22(104): 745-762.
9. Chorin AJ. On the convergence of discrete approximations to the Navier-Stokes equations. Mathematics of Computation 1969; 23(106):341-353.
10. Temam R. Sur l'approximation de la solution des équations de Navier-Stokes par la méthode des pas fractionnaires. II. Archive for Rational Mechanics and Analysis 1969; 33:377-385.
11. Stoker JJ. Water Waves. Interscience Publishers Inc.: New York, 1957.
12. Peraire J, Zienkiewicz OC, Morgan K. Shallow water problems: a general explicit formulation. International Journal for Numerical Methods in Engineering 1986; 22:547-574.
13. Colli P, Verdi C, Visintin A (eds). Free Boundary Problems: Theory and Applications. ISNM, vol. 147. Birkhäuser: Basel.
14. Ortiz P, Zienkiewicz OC, Szmelter J. CBS finite element modelling of shallow water and transport problems. In ECCOMAS 2004, Neittaanmäki P et al. (eds). Jyväskylä, 2004.
15. Donea J, Huerta A. Finite Element Methods for Flow Problems. Wiley: Chichester, 2003.
16. Lewis RW, Morgan K, Thomas HR, Seetharamu KN. The Finite Element Method in Heat Transfer Analysis. Wiley: Chichester, 1996.
17. D'Alpaos L, Defina A. Venice lagoon hydrodynamic simulations by coupling 2D and 1D finite element models. In Finite Elements in Fluids, Morgan K, Morandi-Cecchi M,, Zienkiewicz OC (eds). Pineridge, 1993; 917-926.
18. Morandi-Cecchi M, Venturin M, Russo MR. Some advantages of a model dedicated to the Venice lagoon. in press.