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.
CITATION STYLE
Boffi, D., Gastaldi, L., & Heltai, L. (2018). A distributed lagrange formulation of the finite element immersed boundary method for fluids interacting with compressible solids. In SEMA SIMAI Springer Series (Vol. 16, pp. 1–21). Springer International Publishing. https://doi.org/10.1007/978-3-319-96649-6_1
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