Modeling advective-dispersive transport with reaction: An accurate explicit finite difference model

Applied Mathematics and Computation

Volumn 102, Issue 2-3, 1999, Pages 101-108

  Hossain, Md Akram ^a  

^a WASHINGTON STATE UNIVERSITY   (United States)

Author keywords

Advective dispersive transport; Finite difference models; Groundwater; Leonard method

Indexed keywords

EID: 0000110742     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0096-3003(98)10036-X     Document Type: Article

References (10)

1. M.A. Hossain, D.R. Yonge, Numerical aspects of contaminant transport modeling, in: Proc. 1997 CSCE-ASCE Env. Engrg. Conf., Edmonton, Alberta, Canada, 22-26 July 1997, pp. 1009-1020.
2. Gottardi G., Venutelli M. One-dimensional moving finite-element model of solute transport. Groundwater. 32(4):1994;645-649.
3. Li C.W. Advection-dispersion simulation by minimization characteristics and alternate direction-explicit methods. Appl. Math. Modelling. 15:1991;616-623.
4. Yeh G.T. A Lagrangian-Eulerian method with zoomable hidden fine-mesh approach to solving advection-dispersion equations. Water Resor. Res. 26(6):1990;1133-1144.
5. Holly F.M. Jr., Preissman A. Accurate calculation of transport in two-dimensions. J. Hydraul. Div. Am. Soc. Civ. Eng. 103:1977;1259-1277.
6. Larson R.G. Controlling numerical dispersion by variably timed flux updating in one dimension. Soc. Pet. Eng. J. 22:1982;399-408.
7. Huyakorn P.S., Nilkuha K. Solution of transient transport equation using an upstream finite element scheme. Appl. Math. Modelling. 3:1979;7-17.
8. B.P. Leonard, Third-order finite-difference method for steady two-dimensional convection, Proc. 1st Int. Conf., Swansea, Wales, UK, 17-21 July, Numer. Methods Laminar Turbulent Flow (1978) 807-819.
9. J.D. Hoffman, Numerical Methods for Engineers and Scientists, McGraw-Hill, New York, 1992, pp. 679-682.
10. van Genuchten M.Th. Analytical solutions for chemical transport with simultaneous adsorption, zero-order production and first-order decay. J. Hydrology. 49:1981;213-233.