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

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

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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",

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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

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