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In many applications, such as plasma edge simulation of a nuclear fusionreactor, a coupled PDE/kinetic description is required, which is usually solvedwith a coupled finite-volume/Monte-Carlo method. Different procedures have beenproposed to estimate the source terms in the finite volume part that appearfrom the Monte Carlo part of the simulation. In this paper, we present asystematic comparison of the variance and computational cost of a coherent setof such estimation procedures. We compare the different estimation proceduresfor mass in a simplified forward-backward scattering model problem, where ananalytical comparison is possible, and for mass and momentum in a model problemwith realistic scattering. Our results reveal a non-trivial dependence of theoptimal choice of estimator on the model parameters and show that differentestimation procedures prevail for different quantities of interest.

A comparison of source term estimators in coupled finite-volume/Monte-Carlo methods with applications to plasma edge simulations in nuclear fusion