A Semi-Lagrangian Method for a Fokker-Planck Equation Describing Fiber Dynamics
(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:
https://lup.lub.lu.se/record/1625129
- author
- Klar, Axel ; Reuterswärd, Philip LU and Seaid, Mohammed
- organization
- publishing date
- 2009
- 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
- 2016-04-04 14:35:19
- date last changed
- 2022-01-30 02:17:11
@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}},
keywords = {{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}},
}