A distributed lagrange formulation of the finite element immersed boundary method for fluids interacting with compressible solids

Daniele Boffi, Lucia Gastaldi, Luca Heltai

Research output: Chapter in Book/Report/Conference proceedingChapter

2 Scopus citations

Abstract

We present a distributed Lagrange multiplier formulation of the Finite Element Immersed Boundary Method to couple incompressible fluids with compressible solids. This is a generalization of the formulation presented in Heltai and Costanzo (Comput. Methods Appl. Mech. Eng. 229/232:110–127, 2012), that offers a cleaner variational formulation, thanks to the introduction of distributed Lagrange multipliers, that act as intermediary between the fluid and solid equations, keeping the two formulation mostly separated. Stability estimates and a brief numerical validation are presented.
Original languageEnglish (US)
Title of host publicationSEMA SIMAI Springer Series
PublisherSpringer International Publishing
Pages1-21
Number of pages21
DOIs
StatePublished - Jan 1 2018
Externally publishedYes

Bibliographical note

Generated from Scopus record by KAUST IRTS on 2020-05-05

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