Control of contaminant releases in rivers. I: Adjoint sensitivity analysis

Journal of Hydraulic Engineering

Volumn 123, Issue 6, 1997, Pages 486-492

  Piasecki, Michael ^a   Katopodes, Nikolaos D ^a  

^a University of Michigan   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

FINITE ELEMENT METHOD; RIVERS; WATER DISTRIBUTION SYSTEMS; COMPUTER SIMULATION; ESTUARIES; HYDRODYNAMICS; IMPURITIES; MASS TRANSFER; OPTIMAL CONTROL SYSTEMS; PERTURBATION TECHNIQUES; SENSITIVITY ANALYSIS; STREAM FLOW;

ADJOINT SENSITIVITY ANALYSIS; CONDITION; CONTAMINANT RELEASE; FINITE ELEMENT MODELLING (FEM); MATHEMATICAL METHOD; REAL-TIME CHANGES; REMOTE SOURCES; SHALLOW ESTUARY; SOLUTE CONCENTRATIONS; TWO-DIMENSIONAL;

SENSITIVITY ANALYSIS; WATER POLLUTION CONTROL;

CONTAMINANT RELEASE; SOLUTE CONCENTRATION;

ADJOINT METHOD; MASS TRANSPORT; POLLUTANT RELEASE; SENSITIVITY ANALYSIS;

EID: 0031158664     PISSN: 07339429     EISSN: None     Source Type: Journal    
DOI: 10.1061/(ASCE)0733-9429(1997)123:6(486)     Document Type: Article

References (16)

1. Cacuci, D. G. (1981). "Sensitivity theory for nonlinear systems. I: nonlinear functional analysis approach." J. Math. Phys., 22(12), 2794-2802.
2. Chavent, G., Dupuy, M., and Lemonnier, P. (1975). "History matching by use of optimal control theory." Soc. Petr. Engrg. J., 15(1), 74-86.
3. Dogru, A. H., and Seinfeld, J. H. (1981). "Comparison of sensitivity coefficient calculation methods in automatic history matching." Soc. Petr. Engrg. J., 21(5).
4. Hall, M. C. G., and Cacuci, D. G. (1982). "Sensitivity analysis of a radiative-convective model by the adjoint method." J. Atmospheric Sci., 39(May).
5. Jarny, Y., Ozisik, M. N., and Bardon, J. P. (1991). "A general optimization method using adjoint equation for solving multidimensional inverse heat conduction." Int. J. of Heat Mass Transfer, 34(11), 2911-2919.
6. Kapitza, H. (1991). "Numerical experiments with the adjoint of a non-hydrostatic mesoscale model." Am. Meteorological Soc. (Apr.).
7. Katopodes, N. D. (1984). "A dissipative Galerkin scheme for open channel flow." J. Hydr. Engrg., ASCE, 110(4), 450-466.
8. Katopodes, N. D. (1987). "Finite element model for hydrodynamics and mass transport in the Upper Potomac Estuary." Rep. Prepared for Metropolitan Washington Council of Governments.
9. Marchuk, G. I. (1986). "Mathematical models in environmental problems." Studies in mathematics and its applications, Vol. 16, North-Holland Publishing Co., Amsterdam, The Netherlands.
10. Neuman, S. P., and Carrera, J. (1985). "Maximum likelihood adjoint-state finite element estimation of groundwater parameters under steady and non-steady conditions." Appl. Math. and Computation, 17, 405-432.
11. Piasecki, M. (1994). "Control of hazardous waste disposals in rivers and estuaries using the adjoint equation solution," PhD thesis, Dept. of Civ. and Envir. Engrg., Univ. of Michigan, Ann Arbor, Mich.
12. Sagan, H. (1969). Introduction to the calculus of variations. McGraw-Hill Book Co., Inc., New York, N.Y.
13. Sinokrot, B. A., and Stefan, H. G. (1994). "Stream water-temperature sensitivity to weather and bed parameters." J. Hydr. Engrg., 120(6).
14. Sykes, J. F. (1985). "Sensitivity analysis for steady state ground water flow using adjoint operators." Water Resour. Res., 21(3), 359-371.
15. Wilson, J. L., and Metcalfe, D. E. (1985). "Illustration and verification of adjoint sensitivity theory for steady state groundwater flow." Water Resour. Res., 21(11), 1602-1610.
16. Yen, W. W.-G., and Sun, N.-Z. (1990). "Variational sensitivity analysis, data requirements and parameter identification in a leaky aquifer system." Water Resour. Res., 26(9), 1927-1938.