We present and discuss particle based algorithms to numerically study the dynamics of population subjected to an advecting flow condition. We discuss few possible variants of the algorithms and compare them in a model compressible flow. A comparison against appropriate versions of the continuum stochastic Fisher equation (sFKPP) is also presented and discussed. The algorithms can be used to study populations genetics in fluid environments.
Perlekar, P. [et al.]. Particle algorithms for population dynamics in flows. "Journal of Physics: Conference Series", 2011, vol. 333, núm. 1, p. 1-8.