Adaptive mesh refinement for stochastic reaction-diffusion processes
(2010) Journal of Computational Physics — Vol. 230, n° 1, p. 13-26 (2011)
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- Authors
- Abstract
- We present an algorithm for adaptive mesh refinement applied to mesoscopic stochastic simulations of spatially evolving reaction-diffusion processes. The transition rates for the diffusion process are derived on adaptive, locally refined structured meshes. Convergence of the diffusion process is presented and the fluctuations of the stochastic process are verified. Furthermore, a refinement criterion is proposed for the evolution of the adaptive mesh. The method is validated in simulations of reaction-diffusion processes as described by the Fisher-Kolmogorov and Gray-Scott equations.
- Affiliations
ETH Zurich, CH-8092, Switzerland Computational Science and Engineering Laboratory
Citations
Bayati, B., Chatelain, P., & Koumoutsakos, P. (2010). Adaptive mesh refinement for stochastic reaction-diffusion processes. Journal of Computational Physics, 230(1), 13-26. https://doi.org/10.1016/j.jcp.2010.08.035 (Original work published 2011)