The numerical solution of the advection-dispersion equation: A review of some basic principles

Acta Geophysica

Volumn 55, Issue 1, 2007, Pages 85-94

  Wallis, Steve ^a  

^a HERIOT WATT UNIVERSITY   (United Kingdom)

Author keywords

Advection; Finite volume method; Numerical modelling; Reference frame; Solute transport; Time marching

Indexed keywords

COMPUTER SIMULATION; FINITE VOLUME METHOD; MATHEMATICAL MODELS; SEDIMENT TRANSPORT; SUSPENSIONS (FLUIDS);

ADVECTION-DISPERSION EQUATION; NUMERICAL MODELLING; REFERENCE FRAME; SOLUTE TRANSPORT; TIME MARCHING;

RIVERS;

ADVECTION; DISPERSION; FINITE VOLUME METHOD; LAGRANGIAN ANALYSIS; NUMERICAL MODEL; RIVER WATER; SOLUTE TRANSPORT;

EID: 33845872597     PISSN: 18956572     EISSN: 18957455     Source Type: Journal    
DOI: 10.2478/s11600-006-0044-5     Document Type: Review

References (5)

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2. Rutherford, J.C., 1994, River Mixing, J. Wiley and Sons Ltd., New York, 347 pp.
3. Versteeg, H.K., and W. Malalasekera, 1995, An Introduction to Computational Fluid Dynamics: The Finite Volume Method, Addison-Wesley Longman Ltd., UK, 257 pp.
4. Wallis, S.G., and J.R. Manson, 1997, Accurate numerical simulation of advection using large time steps, Int. J. Numer. Meth. Fluids 24, 127-39.
5. Wallis, S.G., J.R. Manson and L. Filippi, 1998, A conservative semi-Lagrangian algorithm for one-dimensional advection-diffusion, Comm. Numer. Meth. Eng. 14, 671-679.