Three-dimensional finite difference model for transport of conservative pollutants

Ocean Engineering

Volumn 25, Issue 6, 1998, Pages 425-442

  Sankaranarayanan, S ^a   Shankar, N J ^a   Cheong, H F ^a  

^a NATIONAL UNIVERSITY OF SINGAPORE   (Singapore)

Author keywords

[No Author keywords available]

Indexed keywords

DIFFUSION IN LIQUIDS; ENVIRONMENTAL ENGINEERING; FINITE DIFFERENCE METHOD; MATHEMATICAL MODELS; TRANSPORT PROPERTIES; WATER POLLUTION;

CONVECTION-DIFFUSION EQUATION; NUMERICAL DIFFUSION;

COASTAL ENGINEERING;

COAST; CONVECTION; DIFFUSION; FINITE DIFFERENCE TECHNIQUE; POLLUTANT TRANSPORT;

CONVECTION; DIFFUSION; FINITE DIFFERENCE METHOD; MATHEMATICAL MODELS; POLLUTANT TRANSPORT;

EID: 0032104776     PISSN: 00298018     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0029-8018(97)00008-5     Document Type: Article

References (19)

1. Boris, J. B. and Book, D. L. (1973) Flux corrected for transport algorithm that works. Journal of Computational Physics 11, 38-69.
2. Chen, Y. and Falconer, R. A. (1994) Modified forms of the third-order convection, second-order diffusion equation. Advances in Water Resources 17, 147-170.
3. Gentry, R. A., Martin, R. E. and Daly, B. J. (1966) An Eulerian differencing method for unsteady compressible flow problems. Journal of Computational Physics 8, 55-76.
4. Hindmarsh, A. C., Gresho, P. and Griffiths, D. F. (1984) The stability of explicit Euler integration for certain finite difference approximations of the multidimensional advection - diffusion equation. International Journal for Numerical Methods in Fluids 4, 853-897.
5. Horie, T. (1980) Hydraulic investigation on sea flow and substance dispersion in estuarine and coastal region. Technical Note 360, Port and Harbour Research Institute, Japan.
6. Kowalik, Z. and Murty, T. S. (1993) Numerical Modeling of Ocean Dynamics. World Scientific, Singapore.
7. Lam, D. C. L. (1975) Computer modeling of pollutant transport in Lake Erie. Water Pollution 25, 75-86.
8. Lardner, R. W. and Song, Y. (1991) An algorithm for three-dimensional convection and diffusion with very different horizontal and vertical scales. International Journal for Numerical Methods in Engineering 32, 1303-1319.
9. Leonard, B. P. (1979) A stable and accurate convective modeling procedure based on upstream formulation. Computer Methods in Applied Mechanics and Engineering 19, 59-98.
10. Leonard, B. P. (1988) Simple high accuracy resolution program for convective modeling of discontinuities. International Journal for Numerical Methods in Fluids 8, 1291-1318.
11. Li, Y. S. and Chen, C. P. (1989) An efficient split operator scheme for 2D advection diffusion equation using finite elements and characteristics. Applied Mathematical Modeling 13, 248-253.
12. Noye, B. J. and Tan, H. H. (1988) A third-order semi-implicit finite difference method for solving the one-dimensional convection - diffusion equation. International Journal for Numerical Methods in Engineering 26, 1615-1629.
13. Noye, B. J. and Tan, H. H. (1989) Finite difference methods for the two-dimensional advection diffusion equation. International Journal for Numerical Methods in Fluids 9, 75-98.
14. O'Brien, J. J. (1986) Advanced Physical Oceanographic Modeling, p. 608. Riedel, Boston.
15. Shankar, N. J., Cheong, H. F. and Sankaranarayanan, S. (1995) Multilevel finite difference model for three-dimensional hydrodynamic circulation. Internal Report, Department of Civil Engineering, National University of Singapore, p. 55.
16. Shankar, N. J., Cheong, H. F. and Sankaranarayanan, S. (1996) Multilevel finite difference model for three-dimensional hydrodynamic circulation. International Journal of Ocean Engineering, 24(9), 785-816.
17. Sobey, R. J. (1983) Fractional step algorithm for estuarine mass transport. International Journal for Numerical Methods in Fluids 3, 567-581.
18. Sommeijer, B. P. and Kok, J. (1995) Implementation and performance of the time integration of a 3D numerical transport model. International Journal for Numerical Methods in Fluids 21, 349-367.
19. Spalding, D. B. (1972) A novel finite difference formulation for differential expressions involving both first and second derivatives. International Journal for Numerical Methods in Engineering 4, 551-559.