Mass Preserving Distributed Langrage Multiplier approach to Immersed Boundary Method

Daniele Boffi, Nicola Cavallini, Francesca Gardini, Lucia Gastaldi

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Scopus citations

Abstract

This research is devoted to mass conservation and CFL properties of the Finite Elements Immersed Boundary Method. We first explore an enhanced higher order scheme applied to the Finite Element Immersed Boundary Method technique introduced by Boffi and Gastaldi. This technique is based on a Pointwise (PW) formulation of the kinematic condition, and higher order elements show better conservation properties than the original scheme. A further improvement with respect to the classical PW formulation is achieved introducing a fully variational Distributed Lagrange Multiplier (DLM) formulation. Numerical experiments show that DLM is not affected by any CFL condition. Furthermore the mass conservation properties of this method are extremely competitive.
Original languageEnglish (US)
Title of host publicationComputational Methods for Coupled Problems in Science and Engineering V - A Conference Celebrating the 60th Birthday of Eugenio Onate, COUPLED PROBLEMS 2013
PublisherInternational Center for Numerical Methods in Engineeringrimne@cimne.upc.es
Pages323-334
Number of pages12
ISBN (Print)9788494140761
StatePublished - Jan 1 2013
Externally publishedYes

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