A novel methodology is presented for the numerical treatment of multi-dimensional pdf (probability density function) models used to study particle transport in turbulent boundary layers. A system of coupled Fokker-Planck type equations is constructed to describe the transport of phase-space conditioned moments of particle and fluid velocities, both streamwise and wall-normal. Unlike conventional moment-based transport equations this system allows for an exact treatment of particle deposition at the flow boundary. Moreover, the equations in the system are linear and can be solved in a sequential fashion; there is no closure problem to address. A Hermite-Discontinuous Galerkin scheme is employed to treat the system. The choice of Hermite basis functions in combination with an iterative rescaling approach, allows for efficient discretization of the, effectively, 5-dimensional phase-space domain. Results demonstrate the effectiveness of the methodology in resolving distributions near an absorbing boundary.

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