An unfitted Nitsche method for the incompressible two fluid Stokes system
(English)Manuscript (preprint) (Other academic)
An easy-to-use finite element method for two fluid Stokes flow, with accurate treatment of jumps in pressure and in velocity gradients at the fluid-fluid interface, is presented. The method allows for an interface not aligned with the grid, and is based on continuous linear finite elements. The jumps at the interface are enforced by a variant of Nitsche's method. Numerical experiments demonstrate optimal convergence order.
IdentifiersURN: urn:nbn:se:kth:diva-33110OAI: oai:DiVA.org:kth-33110DiVA: diva2:413370
QS 20112011-04-282011-04-282011-05-03Bibliographically approved