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A Semi-Lagrangian Method for a Fokker-Planck Equation Describing Fiber Dynamics

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Author

  • Axel Klar
  • Philip Reuterswärd
  • Mohammed Seaid

Summary, in English

A simplified Fokker-Planck model for the lay-down of fibers on a conveyor belt in the production process of nonwovens is investigated. It takes into account the motion of the fiber under the influence of turbulence. The emphasis in this paper is on the development of a numerical procedure to solve the model. We present a semi-Lagrangian scheme that accurately captures the fiber dynamics and conserves the mass. The scheme allows large time steps to be taken in numerical simulations and requires moderate computing times to obtain steady state solutions. Numerical results and examples are presented and compared for several selection of fiber parameters. The obtained results show that the semi-Lagrangian method is able to reproduce accurately the time development of functionals of the process that are important for the quality assessment of industrial fibers.

Publishing year

2009

Language

English

Pages

349-367

Publication/Series

Journal of Scientific Computing

Volume

38

Issue

3

Document type

Journal article

Publisher

Springer

Topic

  • Control Engineering

Keywords

  • Fokker-Planck equations
  • Computational engineering
  • Fiber dynamics
  • Semi-Lagrangian method

Status

Published

Research group

  • LCCC

ISBN/ISSN/Other

  • ISSN: 1573-7691