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.

A distributed lagrange formulation of the finite element immersed boundary method for fluids interacting with compressible solids / Boffi, Daniele; Gastaldi, Lucia; Heltai, Luca. - 16:(2018), pp. 1-21. [10.1007/978-3-319-96649-6_1]

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

Heltai, Luca
2018

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.
16
Mathematical and Numerical Modeling of the Cardiovascular System and Applications
1
21
https://doi.org/10.1007/978-3-319-96649-6_1
https://arxiv.org/abs/1712.02545v1
Boffi, Daniele; Gastaldi, Lucia; Heltai, Luca
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11767/86398
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