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

Amine Ammar (1) , Francisco Chinesta (2)

1 LR - Laboratoire de rhéologie
2 LMSP - Laboratoire de Mécanique des Systèmes et des Procédés

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.

Domaines: Mécanique des fluides [physics.class-ph]

Amine Ammar, Francisco Chinesta. A Particle Strategy for Solving the Fokker-Planck Equation Governing the Fiber Orientation Distribution in Steady Recirculating Flows Involving Short Fiber Suspensions. Michael Griebel, Marc A. Schweitzer. Meshfree Methods for Partial Differential Equations II, 43, Springer, pp.1-15, 2005, Lecture Notes in Computational Science and Engineering, 978-3-540-23026-7. ⟨10.1007/3-540-27099-X_1⟩. ⟨hal-00021025⟩