Discrete models for fluid-structure interactions: The finite element Immersed Boundary Method

Daniele  Boffi; Lucia  Gastaldi

doi:10.3934/dcdss.2016.9.89

Article Contents

2016, Volume 9, Issue 1: 89-107. Doi: 10.3934/dcdss.2016.9.89

This issue Previous Article On the concentration of entropy for scalar conservation laws Next Article A dynamic domain decomposition for the eikonal-diffusion equation

Discrete models for fluid-structure interactions: The finite element Immersed Boundary Method

Daniele Boffi^1, and
Lucia Gastaldi^2,

1.
Dipartimento di Matematica "F. Casorati", Università degli Studi di Pavia, Pavia
2.
DICATAM - Sez. Matematica, Università degli Studi di Brescia, Brescia

Received: September 2014

Revised: February 2015

Published: February 2016

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Abstract

The aim of this paper is to provide a survey of the state of the art in the finite element approach to the Immersed Boundary Method (FE-IBM) which has been investigated by the authors during the last decade. In a unified setting, we present the different formulation proposed in our research and highlight the advantages of the one based on a distributed Lagrange multiplier (DLM-IBM) over the original FE-IBM.

Keywords:

Mathematics Subject Classification: Primary: 65M60, 65M12; Secondary: 65M85.

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