A Fokker-Planck method for modeling compton scattering in implicit Monte Carlo simulations
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We present a new method for modeling Compton scattering in Implicit Monte Carlo (IMC) simulations that implicitly evaluates the radiation-matter energy coupling due to photon-electron scattering. In this technique, the scattering physics are split from the radiative-transfer process and represented by a Fokker-Planck approximation. In each time step, radiative transfer, minus Compton scattering, is simulated using the usual IMC method. The results of this calculation are then used to solve the Fokker-Planck equation deterministically and update the material temperature and radiation intensity accordingly. With a set of numerical examples, we demonstrate that our new Fokker-Planck method is able to employ larger time steps than an analog technique for simulating Compton scattering that evaluates the material temperature explicitly.