The numerical solution of the Advection-Dispersion Equation: A review of some basic principles

• Autorzy: Wallis S.
• Języki publikacji: EN

Abstrakty

EN

The simulation of solute transport in rivers is frequently based on numerical models of the Advection-Dispersion Equation. The construction of reliable computational schemes, however, is not necessarily easy. The paper reviews some of the most important issues in this regard, taking the finite volume method as the basis of the simulation, and compares the performance of several types of scheme for a simple case of the transport of a patch of solute along a uniform river. The results illustrate some typical (and well known) deficiencies of explicit schemes and compare the contrasting performance of implicit and semi-Lagrangian versions of the same schemes. It is concluded that the latter have several benefits over the other types of scheme.

Słowa kluczowe

EN

solute transport; numerical modelling; finite volume method; advection; reference frame; time marching

• Wydawca: Instytut Geofizyki PAN ; Springer
• Czasopismo: Acta Geophysica
• Rocznik: 2007
• Tom: Vol. 55, no. 1
• Strony: 85--94

Twórcy

autor

Wallis S.

• Heriot-Watt University, Riccarton, Edinburgh, EH14 4AS, UK,

Bibliografia

• Leonard, B.P., 1979, A stable and accurate convective modeling procedure based on quadratic upstream interpolation, Computer Meth. Appl. Mech. Eng. 19, 59-98.
• Rutherford, J.C., 1994, River Mixing, J. Wiley and Sons Ltd., New York, 347 pp.
• Versteeg, H.K., and W. Malalasekera, 1995, An Introduction to Computational Fluid Dynamics: The Finite Volume Method, Addison-Wesley Longman Ltd., UK, 257 pp.
• 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.
• 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.