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
2018-01-01
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.| File | Dimensione | Formato | |
|---|---|---|---|
|
2018_SEMA_feibm_lagrange_multipliers.pdf
non disponibili
Tipologia:
Versione Editoriale (PDF)
Licenza:
Non specificato
Dimensione
673.49 kB
Formato
Adobe PDF
|
673.49 kB | Adobe PDF | Visualizza/Apri Richiedi una copia |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
