Fully Coupled Unsteady Mobile Boundary Flow Model
Publication: Journal of Hydraulic Engineering
Volume 118, Issue 3
Abstract
A fully coupled, one‐dimensional river model, capable of predicting sediment‐transport and bed‐level changes under unsteady flow conditions is described. The governing equations for mass and momentum balance of sediment‐water mixture under unsteady flow conditions in natural rivers with irregular geometries, are solved simultaneously using the Preissmann four‐point linear implicit scheme with weighting factors for space and time coordinates. The resulting system of algebraic equations is solved using a solution procedure that bridges upstream and downstream boundary nodal values by successive substitutions. The friction slope is expressed in a consistent form that allows the consideration of the changing alluvial roughness effect. The system of governing equations is explicitly coupled by introducing the term representing the rate of change of bed level. The fully coupled unsteady mobile boundary flow model (FCM) is applied to the classical problem of sediment deposition upstream of a dam with an arbitrary sediment hydrograph at the upstream boundary as well as to some other proof‐of‐concept tests to demonstrate its original features.
Get full access to this article
View all available purchase options and get full access to this article.
References
1.
Ackers, P., and White, W. R. (1973). “Sediment transport—New approach and analysis.” J. Hydr. Div., ASCE, 99(11), 2041–2060.
2.
Bathurst, J. C., Graf, W. H., and Cao, H. H. (1987). “Bed‐load discharge equations for steep mountain rivers.” Sediment Transport in Gravel‐Bed Rivers, C. R. Thorne, J. C. Bathurst and R. D. Hey, eds., John Wiley and Sons Ltd., New York, N.Y.
3.
Brownlie, W. R. (1981). “Prediction of flow depth and sediment discharge in open channels,” Report Kh‐R‐43A, W. M. Keck Lab. of Hydr. and Water Resour., California Inst. of Tech., Pasadena, Calif., 192–207.
4.
Brownlie, W. R. (1983). “Flow depth in sand bed channels.” J. Hydr. Engrg., ASCE, 109(7), 959–987.
5.
Chen, Y. H., and Simons, D. B. (1975). “Mathematical modelling of alluvial channels.” Symp. on Modelling Techniques , ASCE, New York, N.Y., 466–483.
6.
Chollet, J. P., and Cunge, J. A. (1979). “New interpretation of some head loss‐flow velocity relationships for deformable movable beds.” J. Hydr. Res., 17(1), 1–13.
7.
Chollet, J. P., and Cunge, J. A. (1980). “Simulation of unsteady flow in alluvial streams.” J. Appl. Math. Modelling, 4(Aug.), 234–244.
8.
The bed configuration and roughness of alluvial streams. (1974). Task Committee on Bed Configuration and Hydraulic Resistance of Alluvial Streams, Committee on Hydr. and Hydr. Engrg., Japan Soc. of Civ. Engs., Japan, Nov.
9.
Correia, L. R. P. (1991). “Numerical modeling of unsteady sediment transport,” presented to Ecole Polytechnique Fédérale, at Lausanne, Switzerland, in partial fulfillment of the requirements for the degree of Doctor of Philosophy.
10.
Correia, L. R. P., Krishnappan, B. G., and Graf, W. H. (1991). “Laboratory verification of a coupled unsteady flow model.” 24th Congress of the IAHR.
11.
Cunge, J. A., and Perdreau, N. (1973). “Mobile bed fluvial mathematical model.” La Houille Blanche, 7, 561–570.
12.
Day, T. J. (1980). “Astudy of the transport of graded sediments.” Report No. IT190, Hydr. Res. Station, Wallingford, England.
13.
Engelund, F. (1967), closure to“Hydraulic resistance of alluvial streams.” J. Hydr. Div., ASCE, 93(4), 287–296.
14.
Gomez, B., and Church, B. (1989). “An assessment of bed load sediment transport formulae for gravel bed rivers.” J. Water Resour. Res., 25(6), 1161–1186.
15.
Graf, W. H. (1989). Hydraulics of sediment transport. Water Resources Publications, 3rd Ed., Littleton, Colorado.
16.
Griffiths, G. A. (1981). “Flow resistance in coarse gravel bed rivers.” J. Hydr. Div., ASCE, 107(7), 899–918.
17.
Holly, F. M., and Rahuel, J.‐L. (1989). “Advances in numerical response to disturbances.” Proc. 23th Congress of the IAHR, Technical Session B, Ottawa, Canada, Aug., B307‐B314.
18.
Holly, F. M., and Rahuel, J.‐L. (1990). “New numerical/physical framework for mobile‐bed modelling, part 1: Numerical and physical principles,” J. Hydr. Res., 28(4), 401–416.
19.
Krishnappan, B. G. (1981). Users manual: Unsteady, non uniform mobile boundary flow model‐MOBED. Hydr. Div., Nat. Water Res. Inst., Burlington, Ontario, Canada.
20.
Krishnappan, B. G. (1985). “Modelling of unsteady flows in alluvial streams.” J. Hydr. Engrg., ASCE, 111(2), 257–266.
21.
Krishnappan, B. G., “MOBED: Users Manual update I,” Hydraulics Division, National Water Research Institute, Burlington, Ontario, Aug., 1983, 78 pages.
22.
Krishnappan, B. G., “MOBED: Users Manual update II,” Hydraulics Division, National Water Research Institute, Burlington, Ontario, Dec. 1986, 95 pages.
23.
Liggett, W., and Cunge, J. A. (1975). “Numerical methods of solution of the unsteady flow equations.” Unsteady flow in open channels, K. Mahmood and V. Yevjevich, eds., Water Resources Publications, Fort Collins, Colo.
24.
Lyn, D. A. (1987). “Unsteady sediment transport modeling.” J. Hydr. Engrg., ASCE, 113(1), 1–15.
25.
Lyn, D. A., and Goodwin, P. (1987). “Stability of a general Preissmann scheme.” J. Hydr. Engrg., ASCE, 113(1), 16–28.
26.
Preissmann, A. (1961). “Propagation des intumescences dans les canaux et les rivières.” Premier congrès de I'association française de calcul, Grenoble, France, 433‐442 (in French).
27.
Rahuel, J. L. (1989). “Modelisation de I'èvolution du Lit des Rivières Alluvionaires à Granulométrie Etendue,” thesis presented to Institut Polytechnique de Grenoble, at Grenoble, in partial fulfillment of the requirements for the degree of Doctor of Philosophy (in French).
28.
Rahuel, J. L., Holly, F. M., Chollet, J. P., Belleudy, P., and Yang, G. (1989). “Modeling of river bed evolution for bedload sediment mixtures.” J. Hydr. Engrg., ASCE, 115(11), 1521–1542.
29.
Richtmyer, R. D., and Morton, K. W., Difference methods for initial‐value problems. Second Ed., Interscience Publishers, New York, N.Y.
30.
Van Rijn, L. C. (1984a). “Sediment transport, part I: Bed load transport.” J. Hydr. Engrg., ASCE, 110(10), 1431–1456.
31.
Van Rijn, L. C. (1984b). “Sediment transport, part II: Suspended load transport.” J. Hydr. Engrg., ASCE, 110(11), 1613–1641.
32.
Van Rijn, L. C. (1982). “Sediment transport, part III: Bed forms and alluvial roughness.” J. Hydr. Engrg., ASCE, 110(12), 1733–1754.
33.
Smart, G. M., and Jaeggi, M. (1983). “Sediment transport on steep slopes.” Mitt.64, Versuchsanstalt für Wasserbau, Hydrologie und Glaziologie, ETH, Zürich.
34.
White, W. R., Milli, H., and Crabbe, C. (1973). Sediment transport: An appraisal of available methods. Hydr. Res. Station, Wallingford.
35.
Yalin, M. S. (1972). Mechanics of sediment transport. Pergamon Press, Oxford, U.K.
Information & Authors
Information
Published In
Journal of Hydraulic Engineering
Volume 118 • Issue 3 • March 1992
Pages: 476 - 494
Copyright
Copyright © 1992 ASCE.
History
Published online: Mar 1, 1992
Published in print: Mar 1992
Authors
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.