2 results
Search Results
Now showing 1 - 2 of 2
- ItemA stochastic weighted particle method for coagulation-advection problems(Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik, 2011) Patterson, Robert I.A.; Wagner, WolfgangA 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.
- ItemCell size error in stochastic particle methods for coagulation equations with advection(Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik, 2013) Patterson, Robert I.A.; Wagner, WolfgangThe paper studies the approximation error in stochastic particle methods for spatially inhomogeneous population balance equations. The model includes advection, coagulation and inception. Sufficient conditions for second order approximation with respect to the spatial discretization parameter (cell size) are provided. Examples are given, where only first order approximation is observed.