An immersed boundary method based on the l                          2                         -projection approach

Maria Giuseppina Chiara Nestola; Barna Becsek; Hadi Zolfaghari; Patrick Zulian; Dominik Obrist; Rolf Krause

doi:10.1007/978-3-319-93873-8_46

An immersed boundary method based on the l ² -projection approach

Maria Giuseppina Chiara Nestola^*, Barna Becsek, Hadi Zolfaghari, Patrick Zulian, Dominik Obrist, Rolf Krause

^*Corresponding author for this work

Applied Mathematics and Computational Science

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

Abstract

In this paper we present a framework for Fluid-Structure Interaction simulations. Taking inspiration from the Immersed Boundary technique introduced by Peskin (J Comput Phys 10(2):252–271, 1972) we employ the finite element method for discretizing the equations of the solid structure and the finite difference method for discretizing the fluid flow. The two discretizations are coupled by using a volume based L ² -projection approach to transfer elastic forces and velocities between the fluid and the solid domain. We present results for a Fluid–Structure Interaction benchmark which describes self-induced oscillating deformations of an elastic beam in a flow channel.

Original language	English (US)
Title of host publication	Lecture Notes in Computational Science and Engineering
Publisher	Springer Verlag
Pages	483-491
Number of pages	9
DOIs	https://doi.org/10.1007/978-3-319-93873-8_46
State	Published - 2018

Publication series

Name	Lecture Notes in Computational Science and Engineering
Volume	125
ISSN (Print)	1439-7358

Bibliographical note

Publisher Copyright:
© 2018, Springer International Publishing AG, part of Springer Nature.

ASJC Scopus subject areas

Modeling and Simulation
General Engineering
Discrete Mathematics and Combinatorics
Control and Optimization
Computational Mathematics

Access to Document

10.1007/978-3-319-93873-8_46

Cite this

Nestola, M. G. C., Becsek, B., Zolfaghari, H., Zulian, P., Obrist, D., & Krause, R. (2018). An immersed boundary method based on the l ² -projection approach. In Lecture Notes in Computational Science and Engineering (pp. 483-491). (Lecture Notes in Computational Science and Engineering; Vol. 125). Springer Verlag. https://doi.org/10.1007/978-3-319-93873-8_46

@inbook{21f42947af224d7fa4377e391bc711a9,

title = "An immersed boundary method based on the l 2 -projection approach",

abstract = " In this paper we present a framework for Fluid-Structure Interaction simulations. Taking inspiration from the Immersed Boundary technique introduced by Peskin (J Comput Phys 10(2):252–271, 1972) we employ the finite element method for discretizing the equations of the solid structure and the finite difference method for discretizing the fluid flow. The two discretizations are coupled by using a volume based L 2 -projection approach to transfer elastic forces and velocities between the fluid and the solid domain. We present results for a Fluid–Structure Interaction benchmark which describes self-induced oscillating deformations of an elastic beam in a flow channel.",

author = "Nestola, {Maria Giuseppina Chiara} and Barna Becsek and Hadi Zolfaghari and Patrick Zulian and Dominik Obrist and Rolf Krause",

note = "Publisher Copyright: {\textcopyright} 2018, Springer International Publishing AG, part of Springer Nature.",

year = "2018",

doi = "10.1007/978-3-319-93873-8_46",

language = "English (US)",

series = "Lecture Notes in Computational Science and Engineering",

publisher = "Springer Verlag",

pages = "483--491",

booktitle = "Lecture Notes in Computational Science and Engineering",

address = "Germany",

}

Nestola, MGC, Becsek, B, Zolfaghari, H, Zulian, P, Obrist, D & Krause, R 2018, An immersed boundary method based on the l ² -projection approach. in Lecture Notes in Computational Science and Engineering. Lecture Notes in Computational Science and Engineering, vol. 125, Springer Verlag, pp. 483-491. https://doi.org/10.1007/978-3-319-93873-8_46

An immersed boundary method based on the l ² -projection approach. / Nestola, Maria Giuseppina Chiara; Becsek, Barna; Zolfaghari, Hadi et al.
Lecture Notes in Computational Science and Engineering. Springer Verlag, 2018. p. 483-491 (Lecture Notes in Computational Science and Engineering; Vol. 125).

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

TY - CHAP

T1 - An immersed boundary method based on the l 2 -projection approach

AU - Nestola, Maria Giuseppina Chiara

AU - Becsek, Barna

AU - Zolfaghari, Hadi

AU - Zulian, Patrick

AU - Obrist, Dominik

AU - Krause, Rolf

PY - 2018

Y1 - 2018

N2 - In this paper we present a framework for Fluid-Structure Interaction simulations. Taking inspiration from the Immersed Boundary technique introduced by Peskin (J Comput Phys 10(2):252–271, 1972) we employ the finite element method for discretizing the equations of the solid structure and the finite difference method for discretizing the fluid flow. The two discretizations are coupled by using a volume based L 2 -projection approach to transfer elastic forces and velocities between the fluid and the solid domain. We present results for a Fluid–Structure Interaction benchmark which describes self-induced oscillating deformations of an elastic beam in a flow channel.

AB - In this paper we present a framework for Fluid-Structure Interaction simulations. Taking inspiration from the Immersed Boundary technique introduced by Peskin (J Comput Phys 10(2):252–271, 1972) we employ the finite element method for discretizing the equations of the solid structure and the finite difference method for discretizing the fluid flow. The two discretizations are coupled by using a volume based L 2 -projection approach to transfer elastic forces and velocities between the fluid and the solid domain. We present results for a Fluid–Structure Interaction benchmark which describes self-induced oscillating deformations of an elastic beam in a flow channel.

UR - http://www.scopus.com/inward/record.url?scp=85060305525&partnerID=8YFLogxK

U2 - 10.1007/978-3-319-93873-8_46

DO - 10.1007/978-3-319-93873-8_46

M3 - Chapter

AN - SCOPUS:85060305525

T3 - Lecture Notes in Computational Science and Engineering

SP - 483

EP - 491

BT - Lecture Notes in Computational Science and Engineering

PB - Springer Verlag

ER -