Matthew West

Convergence of a generalized Weighted Flow Algorithm for stochastic particle coagulation

R. E. L. DeVille, N. Riemer, and M. West

Journal of Computational Dynamics 6(1), 69-94, 2019.

We introduce a general family of Weighted Flow Algorithms for simulating particle coagulation, generate a method to optimally tune these methods, and prove their consistency and convergence under general assumptions. These methods are especially effective when the size distribution of the particle population spans many orders of magnitude, or in cases where the concentration of those particles that significantly drive the population evolution is small relative to the background density. We also present a family of simulations demonstrating the efficacy of the method.

DOI: 10.3934/jcd.2019003

Full text: DeRiWe2019.pdf