A Semi-Lagrangian Method for a Fokker-Planck Equation Describing Fiber Dynamics
Författare
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.
Avdelning/ar
Publiceringsår
2009
Språk
Engelska
Sidor
349-367
Publikation/Tidskrift/Serie
Journal of Scientific Computing
Volym
38
Issue
3
Dokumenttyp
Artikel i tidskrift
Förlag
Springer
Ämne
- Control Engineering
Nyckelord
- Fokker-Planck equations
- Computational engineering
- Fiber dynamics
- Semi-Lagrangian method
Status
Published
Forskningsgrupp
- LCCC
ISBN/ISSN/Övrigt
- ISSN: 1573-7691