WIAS Preprint No. 1641, (2011)

A stochastic weighted particle method for coagulation-advection problems



Authors

  • Patterson, Robert I. A.
    ORCID: 0000-0002-3583-2857
  • Wagner, Wolfgang

2010 Mathematics Subject Classification

  • 6025 65C05 65C35 82C22

Keywords

  • coagulation, advection, stochastic particle, instability

Abstract

A spatially resolved stochastic weighted particle method for inception--coagulation--advection problems is presented. Convergence to a deterministic limit is briefly studied. Numerical experiments are carried out for two problems with very different coagulation kernels. These tests show the method to be robust and confirm the convergence properties. The robustness of the weighted particle method is shown to contrast with two Direct Simulation Algorithms which develop instabilities.

Appeared in

  • SIAM J. Sci. Comput., 34 (2012) pp. B290--B311.

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