Advanced

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

Klar, Axel; Reuterswärd, Philip LU and Seaid, Mohammed (2009) In Journal of Scientific Computing 38(3). p.349-367
Abstract
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... (More)
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. (Less)
Please use this url to cite or link to this publication:
author
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
Fokker-Planck equations, Computational engineering, Fiber dynamics, Semi-Lagrangian method
in
Journal of Scientific Computing
volume
38
issue
3
pages
349 - 367
publisher
Springer
external identifiers
  • Scopus:64949155163
ISSN
1573-7691
language
English
LU publication?
yes
id
7bb498ee-dba7-4c15-8385-b6618a161353 (old id 1625129)
date added to LUP
2010-06-29 09:11:43
date last changed
2017-01-01 08:19:23
@article{7bb498ee-dba7-4c15-8385-b6618a161353,
  abstract     = {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.},
  author       = {Klar, Axel and Reuterswärd, Philip and Seaid, Mohammed},
  issn         = {1573-7691},
  keyword      = {Fokker-Planck equations,Computational engineering,Fiber dynamics,Semi-Lagrangian method},
  language     = {eng},
  number       = {3},
  pages        = {349--367},
  publisher    = {Springer},
  series       = {Journal of Scientific Computing},
  title        = {A Semi-Lagrangian Method for a Fokker-Planck Equation Describing Fiber Dynamics},
  volume       = {38},
  year         = {2009},
}