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A Particle Strategy for Solving the Fokker-Planck Equation Modelling the Fiber Orientation Distribution in Steady Recirculating Flows Involving Short Fiber Suspensions

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Meshfree Methods for Partial Differential Equations II

Part of the book series: Lecture Notes in Computational Science and Engineering ((LNCSE,volume 43))

Abstract

In this work we have analyzed the application of a deterministic approximation of the diffusion term in the Fokker-Planck equation using smooth particles for computing its steady solution in a steady recirculating flow. The main idea of this approach lies in the introduction of the Fokker-Planck diffusion term into the advection one, which allows to proceed in a Lagrangian deterministic manner without a mesh support requirement.

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© 2005 Springer-Verlag Berlin Heidelberg

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Ammar, A., Chinesta, F. (2005). A Particle Strategy for Solving the Fokker-Planck Equation Modelling the Fiber Orientation Distribution in Steady Recirculating Flows Involving Short Fiber Suspensions. In: Griebel, M., Schweitzer, M.A. (eds) Meshfree Methods for Partial Differential Equations II. Lecture Notes in Computational Science and Engineering, vol 43. Springer, Berlin, Heidelberg . https://doi.org/10.1007/3-540-27099-X_1

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