Skip to main content
Journal cover image

Locally corrected semi-Lagrangian methods for Stokes flow with moving elastic interfaces

Publication ,  Journal Article
Beale, JT; Strain, J
Published in: Journal of Computational Physics
April 1, 2008

We present a new method for computing two-dimensional Stokes flow with moving interfaces that respond elastically to stretching. The interface is moved by semi-Lagrangian contouring: a distance function is introduced on a tree of cells near the interface, transported by a semi-Lagrangian time step and then used to contour the new interface. The velocity field in a periodic box is calculated as a potential integral resulting from interfacial and body forces, using a technique based on Ewald summation with analytically derived local corrections. The interfacial stretching is found from a surprisingly natural formula. A test problem with an exact solution is constructed and used to verify the speed, accuracy and robustness of the approach. © 2007 Elsevier Inc. All rights reserved.

Duke Scholars

Altmetric Attention Stats
Dimensions Citation Stats

Published In

Journal of Computational Physics

DOI

EISSN

1090-2716

ISSN

0021-9991

Publication Date

April 1, 2008

Volume

227

Issue

8

Start / End Page

3896 / 3920

Related Subject Headings

  • Applied Mathematics
  • 51 Physical sciences
  • 49 Mathematical sciences
  • 40 Engineering
  • 09 Engineering
  • 02 Physical Sciences
  • 01 Mathematical Sciences
 

Citation

APA
Chicago
ICMJE
MLA
NLM
Beale, J. T., & Strain, J. (2008). Locally corrected semi-Lagrangian methods for Stokes flow with moving elastic interfaces. Journal of Computational Physics, 227(8), 3896–3920. https://doi.org/10.1016/j.jcp.2007.11.047
Beale, J. T., and J. Strain. “Locally corrected semi-Lagrangian methods for Stokes flow with moving elastic interfaces.” Journal of Computational Physics 227, no. 8 (April 1, 2008): 3896–3920. https://doi.org/10.1016/j.jcp.2007.11.047.
Beale JT, Strain J. Locally corrected semi-Lagrangian methods for Stokes flow with moving elastic interfaces. Journal of Computational Physics. 2008 Apr 1;227(8):3896–920.
Beale, J. T., and J. Strain. “Locally corrected semi-Lagrangian methods for Stokes flow with moving elastic interfaces.” Journal of Computational Physics, vol. 227, no. 8, Apr. 2008, pp. 3896–920. Scopus, doi:10.1016/j.jcp.2007.11.047.
Beale JT, Strain J. Locally corrected semi-Lagrangian methods for Stokes flow with moving elastic interfaces. Journal of Computational Physics. 2008 Apr 1;227(8):3896–3920.
Journal cover image

Published In

Journal of Computational Physics

DOI

EISSN

1090-2716

ISSN

0021-9991

Publication Date

April 1, 2008

Volume

227

Issue

8

Start / End Page

3896 / 3920

Related Subject Headings

  • Applied Mathematics
  • 51 Physical sciences
  • 49 Mathematical sciences
  • 40 Engineering
  • 09 Engineering
  • 02 Physical Sciences
  • 01 Mathematical Sciences