Locally corrected semi-Lagrangian methods for Stokes flow with moving elastic interfaces
| dc.contributor.author | Beale, JT | |
| dc.contributor.author | Strain, J | |
| dc.date.accessioned | 2013-04-29T19:17:39Z | |
| dc.date.issued | 2008-04-01 | |
| dc.description.abstract | 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. | |
| dc.identifier.eissn | 1090-2716 | |
| dc.identifier.issn | 0021-9991 | |
| dc.identifier.uri | ||
| dc.publisher | Elsevier BV | |
| dc.relation.ispartof | Journal of Computational Physics | |
| dc.relation.isversionof | 10.1016/j.jcp.2007.11.047 | |
| dc.title | Locally corrected semi-Lagrangian methods for Stokes flow with moving elastic interfaces | |
| dc.type | Journal article | |
| pubs.begin-page | 3896 | |
| pubs.end-page | 3920 | |
| pubs.issue | 8 | |
| pubs.organisational-group | Duke | |
| pubs.organisational-group | Mathematics | |
| pubs.organisational-group | Trinity College of Arts & Sciences | |
| pubs.publication-status | Published | |
| pubs.volume | 227 |
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