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Journal Articles Environmental Modelling and Software Year : 2009

Computation of the integrated flow of particles between polygons

Abstract

To quantify the flow of particles over a heterogeneous area, some models require the integration of a pointwise dispersal function over source and target polygons. This calculation is a non-trivial task and may require a great deal of computing time. In this paper, an efficient and accurate algorithm is presented to integrate general individual dispersal functions between pairs of convex or non-convex polygons. Geometric calculations are performed using standard tools from computational geometry. Numerical integration is then performed either by a grid method or by an adaptive cubature method. The procedure is illustrated with a case study. It is shown that the cubature method is much more efficient than the grid method and that its error estimates are accurate. The algorithm is implemented in a C++ program, Califlopp
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Dates and versions

hal-02662047 , version 1 (30-05-2020)

Identifiers

  • HAL Id : hal-02662047 , version 1
  • PRODINRA : 32362
  • WOS : 000265341800007

Cite

Annie A. Bouvier, Kiên Kiêu, Katarzyna K. Adamczyk, Hervé Monod. Computation of the integrated flow of particles between polygons. Environmental Modelling and Software, 2009, 24 (7), pp.846-849. ⟨hal-02662047⟩

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