Adaptive finite element approximation of multiphysics problems: a fluid structure interaction model problem
2010 (English)In: International Journal for Numerical Methods in Engineering, ISSN 0029-5981, E-ISSN 1097-0207, Vol. 84, no 12, 1451-1465 p.Article in journal (Refereed) Published
We consider computation of the displacement of an elastic object immersed into a viscous incompressible flow. For simplicity, we assume that the mechanics of the solid is governed by linear elasticity and the motion of the fluid by the Stokes equation. We derive an a posteriori error estimate for this one way coupled problem using duality techniques. Based on these estimates we develop an adaptive algorithm that automatically constructs a suitable adapted mesh for the fluid and solid domains given goal quantities specified on the solid problem.
Place, publisher, year, edition, pages
2010. Vol. 84, no 12, 1451-1465 p.
fluid-structure interaction, finite element methods, adaptivity, error estimation
IdentifiersURN: urn:nbn:se:umu:diva-30228DOI: 10.1002/nme.2945ISI: 000285261100002OAI: oai:DiVA.org:umu-30228DiVA: diva2:281068