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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.identifier.issn 0021-9991
dc.identifier.uri http://hdl.handle.net/10161/6958
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.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
dc.identifier.eissn 1090-2716


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