Show simple item record

AuthorNasser M.M.S.
AuthorGreen C.C.
Available date2020-02-05T08:53:05Z
Publication Date2018
Publication NameNonlinearity
ResourceScopus
ISSN9517715
URIhttp://dx.doi.org/10.1088/1361-6544/aa99a5
URIhttp://hdl.handle.net/10576/12685
AbstractA collection of arbitrarily-shaped solid objects, each moving at a constant speed, can be used to mix or stir ideal fluid, and can give rise to interesting flow patterns. Assuming these systems of fluid stirrers are two-dimensional, the mathematical problem of resolving the flow field - given a particular distribution of any finite number of stirrers of specified shape and speed - can be formulated as a Riemann-Hilbert (R-H) problem. We show that this R-H problem can be solved numerically using a fast and accurate algorithm for any finite number of stirrers based around a boundary integral equation with the generalized Neumann kernel. Various systems of fluid stirrers are considered, and our numerical scheme is shown to handle highly multiply connected domains (i.e. systems of many fluid stirrers) with minimal computational expense. 2018 IOP Publishing Ltd & London Mathematical Society.
SponsorMMSN and CCG both acknowledge financial support from Qatar University grant QUUG-CAS-DMSP-156-27. CCG acknowledges support from Australian Research Council Discovery Project DP140100933; he is also grateful for the hospitality of the Department of Mathematics, Statistics & Physics at Qatar University where this work was completed.
Languageen
PublisherInstitute of Physics Publishing
Subjectfluid stirrers
generalized Neumann kernel
ideal fluid
multiply connected domains
Riemann-Hilbert problem
TitleA fast numerical method for ideal fluid flow in domains with multiple stirrers
TypeArticle
Pagination815-837
Issue Number3
Volume Number31
dc.accessType Abstract Only


Files in this item

FilesSizeFormatView

There are no files associated with this item.

This item appears in the following Collection(s)

Show simple item record