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We establish stochastic functional integral representations forincompressible fluid flows occupying wall-bounded domains using the conditionallaw duality for a class of diffusion processes. These representations are usedto derive a Monte-Carlo scheme based on the corresponding exact random vortexformulation. We implement several numerical experiments based on theMonte-Carlo method without appealing to the boundary layer flow computations,to demonstrate the methodology.

Monte-Carlo method for incompressible fluid flows past obstacles