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

Research output: Chapter in Book/Report/Conference proceedingChapterScientificpeer-review

Researchers

Research units

  • University of Pavia
  • University of Brescia
  • International School for Advanced Studies

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.

Details

Original languageEnglish
Title of host publicationSEMA SIMAI Springer Series
Publication statusPublished - 1 Jan 2018
MoE publication typeA3 Part of a book or another research book

Publication series

NameSEMA SIMAI Springer Series
Volume16
ISSN (Print)2199-3041
ISSN (Electronic)2199-305X

ID: 32011902