A linearization technique for multi-species transport problems

Transport in Porous Media

Volumn 70, Issue 1, 2007, Pages 1-10

  Romeiro, Neyva M L ^a   Castro, Rigoberto G S ^b   Malta, Sandra M C ^c   Landau, Luiz ^d  

^a STATE UNIVERSITY OF LONDRINA   (Brazil)

^b UNIVERSIDADE ESTADUAL DO NORTE FLUMINENSE DARCY RIBEIRO   (Brazil)

^c FEDERAL UNIVERSITY OF THE STATE OF RIO DE JANEIRO   (Brazil)

^d FEDERAL UNIVERSITY OF RIO DE JANEIRO   (Brazil)

Author keywords

Analytical solutions; Multi species transport models; Nonlinear reactions; Stabilized finite element method; Taylor's series expansions

Indexed keywords

ADSORPTION; BOUNDARY CONDITIONS; DISPERSIONS; FINITE DIFFERENCE METHOD; FINITE ELEMENT METHOD; LINEARIZATION; MATHEMATICAL MODELS; POROUS MATERIALS; TAYLOR SERIES; TRANSPORT PROPERTIES;

MULTI-SPECIES TRANSPORT MODEL; NONLINEAR REACTION; TAYLOR'S SERIES EXPANSION;

WATER POLLUTION;

ADSORPTION; BOUNDARY CONDITIONS; DISPERSIONS; FINITE DIFFERENCE METHOD; FINITE ELEMENT METHOD; LINEARIZATION; MATHEMATICAL MODELS; POROUS MATERIALS; TAYLOR SERIES; TRANSPORT PROPERTIES; WATER POLLUTION;

ADVECTION; FINITE DIFFERENCE METHOD; FINITE ELEMENT METHOD; LINEARITY; NONLINEARITY; POLLUTANT TRANSPORT; POROUS MEDIUM; REACTION KINETICS; REACTIVE TRANSPORT;

EID: 34548052697     PISSN: 01693913     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11242-006-9081-4     Document Type: Article

References (17)

1. Ambrose R.B., Woll T.A. and Martin J.L. (1993). The water quality analyses simulation program, WASP5, Part A: Model documentation. Environmental Research Laboratory, Office of Research and Development, U.S. Environmental Protection Agency, Athens, Georgia, USA
2. Bekins B.A., Warren E. and Godsy E.M. (1997). Comparing zero and first order approximations to the Monod model. In: Alleman, B.C. and Leeson, A. (eds) In situ and on site bioremediation: V 5., pp 547-552. Battelle Press, Columbus, Ohio
3. Brooks A.N. and Hughes T.J.R. (1982). Streamline upwind Petrov-Galerkin formulations for convection-dominated flows with particular emphasis on the incompressible Navier-Stokes equations. Comput. Methods Appl. Mech. Eng. 32: 199-259
4. Celia M.A., Krinded J.S. and Herrera I. (1989). Contaminant transport and biodegradation 2. Conceptual model for reactive transport in porous media. Water Resour. Res. 25: 1149-1159
5. Clement T.P., Sun Y., Hooker B.S. and Petersen J.N. (1998). Modeling multi-species reactive transport in groundwater aquifers. Groundwater Monitor. Remed. 18: 79-92
6. Clement T.P. (2001). Generalized solution to multi-species transport equations coupled with first-order reaction network. Water Resour. Res. 37: 157-163
7. Domenico P.A. (1987). An analytical model for multidimensional transport of a decaying contaminant species. J. Hydrol. 91: 49-58
8. Genuchten M. (1981). Analytical solutions for multiple species reactive transport in multiple dimensions. J. Hydrol. 35: 213-233
9. Lunn M., Lunn R.J. and Mackay R. (1996). Determining analytic solutions of multiple species contaminant transport, with sorption and decay. J. Hydrol. 180: 195-210
10. Malta S.M.C., Loula A.F.D. and Garcia E.L.M. (2000). Numerical analysis of a stabilized finite element method for tracer injection simulations. Comput. Methods Appl. Mech. Eng. 187: 19-136
11. Quezada C.R., Clement T.P. and Lee K.K. (2004). Generalized solution to multi-dimensional, multi-species transport equations coupled with a first-order reaction network involving distinct retardation factors. Adv. Water Resour. J. 27: 507-520
12. Romeiro, N.M.L.: Simulação numérica de modelos de qualidade de água usando o método de elementos finitos estabilizados. PhD Thesis, Department of Civil Engineering, COPPE/ Federal University of Rio de Janeiro, Brazil (2003)
13. Romeiro, N.M.L., Castro, R.G.S.: Linearização na modelagem do processo de biodegradação. In: XXVII Congresso Nacional de Matemática Aplicada e Computacional. São Paulo, SP, Brazil (2005)
14. Salvage K.M. and Yeh G.T. (1998). Development and application of a numerical model of kinetic and equilibrium microbiological and geochemical reactions. J. Hydrol. 209: 27-52
15. Sun Y. and Clement T.P. (1999). A generalized decomposition method for solving coupled multi-species reactive transport problems. Transport Porous Media 37: 327-346
16. Sun Y., Petersen J.N., Clement T.P. and Skeen R.S. (1999a). Development of analytical solutions for multi-species transport with serial and parallel reactions. Water Resour. Res. 35: 185-190
17. Sun Y., Petersen J.N. and Clement T.P. (1999b). A new analytical solution for multiple species reactive transport in multiple dimensions. J. Contaminant Hydrol. 35: 429-440