Dispersion simulation in two-dimensional tidal flow

Journal of Hydraulic Engineering

Volumn 110, Issue 7, 1984, Pages 905-926

  Holly, Forrest M ^a   Usseglio Polatera, Jean Marc ^b  

^a UNIVERSITY OF IOWA   (United States)

^b SOGREAH   (France)

Author keywords

[No Author keywords available]

Indexed keywords

BAY OF SAINT-BRIEUC, FRANCE; CRANK-NICOLSON OPERATOR;

TIDES;

POLLUTION; WATER;

EID: 0021161668     PISSN: 07339429     EISSN: 19437900     Source Type: Journal    
DOI: 10.1061/(ASCE)0733-9429(1984)110:7(905)     Document Type: Article

References (24)

1. Barrett, J. W., and Morton, K. W., “Optimal Finite-Element Solutions to Diffusion—Convection Problems in One Dimension,” International Journal for Numerical Methods in Engineering, Vol. 15, 1980, pp. 1457–1474.
2. Benqué, J. P., et al., “A New Method for Tidal Current Computation,” Journal of the Waterways and Harbors Division, ASCE, Vol. 108, No. WW3, pp. 396–417.
3. Benqué, J. P., and Ronat, J., “Quelque difficultés des modèles numériques en hydraulique,” Electricité de France, Rapport interne, 1981.
4. Boris, J. P., and Book, D. L., “Flux-Corrected Transport. I.SHASTA, A Fluid Transport Algorithm that Works,” Journal of Computational Physics, 11, 1973, pp. 38–69.
5. Concus, P., “Calculation of Shocks in Oil Reservoir Modelling and Porous Media,” Numerical Methods in Fluid Mechanics, Institute of Mathematics and its Applications, University of Reading, England, Mar., 1982.
6. Cunge, J. A., Holly, F. M., Jr., and Schwartz, S., “Mathematical Modelling Study of Pollution Transport in the Bay of Saint-Brieuc, France,” Symposium Engineering in Marine Environment, Brugge, Belgium, 1982.
7. Cunge, J. A., Holly, F. M., Jr., and Verwey, A., Practical Aspects of Computational River Hydraulics, Chapitre 8, Pitman Publishing Ltd., London, England, 1980.
8. Elder, J. W., “The Dispersion of Marked Fluid in Turbulent Shear Flow,” Journal of Fluid Mechanics, Vol. 5, No. 4, 1959, pp. 544–560.
9. Fisher, H. B., et al., Mixing in Inland and Coastal Waters, Academic Press, New York, N.Y., 1979.
10. Glass, J., and Rodi, W., “An Explicit Hermitian Finite Difference Scheme for Pollutant Transport in Transient River Flows,” Fourth GAMM Conference on Numerical Methods in Fluid Mechancis, Paris (ENSTA), Oct., 1981.
11. Glass, J., and Rodi, W., “A Higher Order Numerical Scheme for Scalar Transport,” Computer Methods in Applied Mechanics and Engineering, Vol. 31, 1982, pp. 337–358.
12. Hall, R. W., and Chapman, R. S., “Comparison of Third-Order Transport Schemes,” Applying Research to Hydraulic Practice, ASCE, Jackson, Miss., Aug. 17-20, 1982.
13. Holly, F. M., Jr., “Two-Dimensional Mass Dispersion in Rivers,” Hydrology Paper No. 78, Colorado State University, Ft. Collins, Colo., Sept., 1975.
14. Holly, F. M., Jr., and Preissmann, A. “Accurate Calculation of Transport in Two Dimensions,” Journal of the Hydraulics Division, ASCE, Vol. 103, No. HY11, Nov., 1977.
15. Hughes, T. J. R., and Brooks, A., “A Multidimensional Upwind Scheme with No Crosswind Diffusion,” Finite Elements for Convection Dominated Flows, T. J. R. Hughes, ed., AMD, Vol. 34, American Society of Mechanical Engineers, 1979, pp. 19–35.
16. Monin, A. S., and Yaglom, A. M., Statistical Fluid Mechanics, Massachusetts Institute of Technology Press, Cambridge, Mass., 1971.
17. Morton, K. W., “Finite Element Methods for Non-Self-Adjoint Problems,” Numerical Analysis Report 3/81, University of Reading, Department of Mathematics, Reading, England, 1981.
18. Morton, K. W., “Generalised Galerkin Methods for Steady and Unsteady Problems,” Numerical Methods in Fluid Mechanics, Institute of Mathematics and its Applications, University of Reading, England, Mar., 1982.
19. Morton, K. W., and Parrott, A. K., “Generalised Galerkin Methods for First-Order Hyperbolic Equations,” Journal of Computational Physics, Vol. 36, No. 2, July, 1980, pp. 249–270.
20. Neuman, S. P., “An Eulerian-Lagrangian Scheme for the Dispersion-Convection Equation Using Conjugate Space-Time Grids,” Journal of Computational Physics, 41, 1981, pp. 270–294.
21. Osher, S., “Shock Modelling in Aeronautics,” Numerical Methods in Fluid Mechanics, Institute of Mathematics and its Applications, University of Reading, England, Mar., 1982.
22. Richtmyer, R. D., and Morton, K. W., Difference Methods for Initial Value Problems, 2nd ed., Interscience Publishers, John Wiley and Sons, New York, N.Y., 1967.
23. Sayre, W. W., “Dispersion of Mass in Open Channel Flow,” Hydraulic Paper No. 3, Colorado State University, Ft. Collins, Colo., Feb., 1968.
24. Strang, G., and Fix, G. J., An Analysis of the Finite Element Method, Prentice-Hall, Inc., Englewood Cliffs, N.J., 1973.