TY - CHAP
T1 - A distributed lagrange formulation of the finite element immersed boundary method for fluids interacting with compressible solids
AU - Boffi, Daniele
AU - Gastaldi, Lucia
AU - Heltai, Luca
N1 - Generated from Scopus record by KAUST IRTS on 2020-05-05
PY - 2018/1/1
Y1 - 2018/1/1
N2 - 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.
AB - 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.
UR - http://link.springer.com/10.1007/978-3-319-96649-6_1
UR - http://www.scopus.com/inward/record.url?scp=85056195743&partnerID=8YFLogxK
U2 - 10.1007/978-3-319-96649-6_1
DO - 10.1007/978-3-319-96649-6_1
M3 - Chapter
SP - 1
EP - 21
BT - SEMA SIMAI Springer Series
PB - Springer International Publishing
ER -