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Comparison of numerical methods applied to advection-diffusion equation
Bestgen, L.; Deville, M. (1989). Comparison of numerical methods applied to advection-diffusion equation, in: Pichot, G. (Ed.) Progress in Belgian Oceanographic Research 1989: proceedings of the North Sea Symposium held in Ghent, 14 February 1989. pp. 55-62
In: Pichot, G. (Ed.) (1989). Progress in Belgian Oceanographic Research 1989: Proceedings of the North Sea Symposium held in Ghent, 14 February 1989. Management Unit of the Mathematical Model of the North Sea and Scheldt Estuary: Brussel. 451 pp., more
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    Marine/Coastal
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  • Bestgen, L.
  • Deville, M.
Abstract
    The mathematical model of the dispersion of contaminant in oceans and seas consists in an advection-diffusion type equation, where the inertial term dominates the diffusion. As the problem is highly non-linear, standard methods fail because of dissipation and dispersion errors. New algorithms in the finite difference and finite element world claim improvements in that respect and are compared to a Hermetian (fourth-order compact) difference scheme. The finite difference schemes remain the best choice from many computational criteria and among them, the compact method provides better accuracy.
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