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We provide a brief overview of some Monte Carlo methods which have been used to simulate systems with a turbulent fluid component. We discuss two main classes of simulation approaches: an "Eulerian" class which is based on a random velocity field model defined on a fixed coordinate system, and a "Lagrangian" class in which the motion of fluid particles and immersed particles are instead stochastically modeled. The main aim of this article is to expose these novel simulation approaches todoi:10.1515/mcma.2001.7.3-4.229 fatcat:y7xk2moucrh3flidia7b5qo3em