TECHNICAL PAPERS
Dec 1, 1983

Pollution Routing in Streams

Publication: Journal of Hydraulic Engineering
Volume 109, Issue 12

Abstract

A method for the numerical simulation of longitudinal dispersion of pollutants in streams is developed and tested. It is based on the one‐dimensional, linear advection‐dispersion equation and utilizes the concept of numerical dispersion to model the physical dispersion process in a manner similar to the one used in storage routing schemes of the Muskingum‐type. The finite difference scheme used is explicit, second‐order‐in‐space accurate, and stable when used to model physical dispersion phenomena. The validity and reliability of the computations are investigated in three examples.

Get full access to this article

View all available purchase options and get full access to this article.

References

1.
Bella, D. A., and Dobbins, W. E., “Difference Modeling of Stream Pollution,” Journal of the Sanitary Engineering Division, ASCE, Vol. 94, No. SA5, Proc. Paper 6192, Oct., 1968, pp. 995–1016.
2.
Bella, D. A., and Grenney, W. J., “Finite‐Difference Convection Errors,” Journal of the Sanitary Engineering Division, ASCE, Vol. 96, No. SA6, Proc. Paper 7744, Dec., 1970, pp. 1361–1375.
3.
Chang, C.‐N., Singer, Da Motta E., and Koussis, A. D., “On the Mathematics of Storage Routing,” Journal of Hydrology, Vol. 61, No. 4, Mar., 1983, pp. 357–370.
4.
Cunge, J. A., “On the Subject of a Flood Propagation Computation Method (Muskingum Method),” Journal of Hydraulic Research, Vol. 7, No. 2, 1969, pp. 205–230.
5.
Dooge, J. C. I., “Linear Theory of Hydrologic Systems,” Technical Bulletin No. 1468, Agricultural Research Service, U.S. Department of Agriculture, Washington, D.C., Oct., 1973, pp. 232–266.
6.
Feigner, K. D., and Harris, H. S., “FWQA Dynamic Estuary Model,” Documentation Report, PB 197103, Federal Water Quality Administration, U.S. Department of Interior, Washington, D.C., July, 1970.
7.
Fischer, H. B., “The Mechanics of Dispersion in Natural Streams,” Journal of the Hydraulics Division, ASCE, Vol. 93, No. HY6, Proc. Paper 5592, Nov., 1967, pp. 187–214.
8.
Fischer, H. B., “Dispersion Predictions in Natural Streams,” Journal of the Sanitary Engineering Division, ASCE, Vol. 94, SA5, Proc. Paper 6169, Oct., 1968, pp. 927–943.
9.
Fischer, H. B., List, E. J., Koh, R. C. Y., Imberger, J., and Brooks, N. H., Mixing in Inland and Coastal Waters, Academic Press, New York, N.Y., 1979.
10.
Koussis, A. D., “Comparison of Muskingum Method Difference Schemes,” Journal of the Hydraulics Division, ASCE, Vol. 106, HY5, Proc. Paper 15383, May, 1980, pp. 925–929.
11.
Leonard, B. P., “A Survey of Finite Differences of Opinion on Numerical Middling of the Incomprehensible Defective Confusion Equation,” Finite Element Methods for Convection Dominated Flows, T. J. R. Hughes, ed., AMD‐Vol. 34, American Society of Mechanical Engineers, New York, N.Y., 1980.
12.
McQuivey, R. S., and Keefer, T. N., “Convective Model of Longitudinal Dispersion,” Journal of the Hydraulics Division, ASCE, Vol. 102, No. HY10, Proc. Paper 12478, pp. 1409–1424.
13.
Ponce, M. V., Chen, Y. H., and Simons, D. B., “Unconditional Stability in Convection Computations,” Journal of the Hydraulics Division, ASCE, Vol. 105, No. HY9, Proc. Paper 14807, Sept., 1979, pp. 1079–1086.
14.
Prych, E. A., discussion of “Numerical Studies of Unsteady Dispersion in Estuaries,” by D. R. F. Harleman, C.‐H. Lee, and L. C. Hall, Journal of the Sanitary Engineering Division, ASCE, Vol. 95, No. SA5, Proc. Paper 6802, Oct., 1969, pp. 959–964.
15.
Richtmeyer, R. D., and Morton, K. W., Difference Methods for Initial Value Problems, 2nd Ed., Interscience Publishers, New York, N.Y., 1967, pp. 85–91.
16.
Roache, P. J., Computational Fluid Dynamics, Hermosa Publishers, Albuquerque, N.M., 1972.
17.
Stefan, H. G., and Demetracopoulos, A. C., “Cells‐In‐Series Simulation of Riverine Transport,” Journal of the Hydraulics Division, ASCE, Vol. 107, No. HY6, Proc. Paper 16349, June, 1981, pp. 675–697.
18.
Stelling, G. S., discussion of “Unconditional Stability in Convection Computations,” Victor Miguel Ponce, Yung Hai Chen, and Daryl B. Simons, Journal of the Hydraulics Division, ASCE, Vol. 106, No. HY6, Proc. Paper 15444, June, 1980, pp. 1144–1145.

Information & Authors

Information

Published In

Go to Journal of Hydraulic Engineering
Journal of Hydraulic Engineering
Volume 109Issue 12December 1983
Pages: 1636 - 1651

History

Published online: Dec 1, 1983
Published in print: Dec 1983

Permissions

Request permissions for this article.

Authors

Affiliations

Antonis D. Koussis, A. M. ASCE
Assoc. Prof., Dept. of Civ. and Environmental Engrg., Vanderbilt Univ., Nashville, Tenn.
Melio A. Saenz
Instituto National de Energia, Quito, Ecuador; formerly Research Asst. Prof., Dept. of Civ. and Environmental Engrg., Vanderbilt Univ., Nashville, Tenn.
Ioannis G. Tollis
Grad. Student, Dept. of Computer Sci., Vanderbilt Univ., Nashville, Tenn.

Metrics & Citations

Metrics

Citations

Download citation

If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.

Cited by

View Options

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Media

Figures

Other

Tables

Share

Share

Copy the content Link

Share with email

Email a colleague

Share