On the Stability of the Immersed finite element Method with High Order structural Elements - Inria - Institut national de recherche en sciences et technologies du numérique Access content directly
Journal Articles Computers & Structures Year : 2012

On the Stability of the Immersed finite element Method with High Order structural Elements

Abstract

The Immersed Finite Element Method (IFEM) is a mathematical formulation for fluid-structure interaction problem like the Immersed Boundary method; in IFEM the immersed structure has the same space dimension of the fluid domain. We present a stability of IFEM for a scheme where the Dirac delta distribution is treated variationally, as in \cite{IBBoffiGastaldiHeltai}; moreover the finite element space related to the structure displacement consists of piecewise continuous Lagrangian elements, at least quadratic. The analysis is performed on two different time-stepping scheme. We demonstrate also that when the structure density is smaller than the fluid one, the stability is assured only if the time step size is bounded from below.

Dates and versions

hal-00764564 , version 1 (13-12-2012)

Identifiers

Cite

Cesare Corrado. On the Stability of the Immersed finite element Method with High Order structural Elements. Computers & Structures, 2012, 112-113, pp.422-432. ⟨10.1016/j.compstruc.2012.09.008⟩. ⟨hal-00764564⟩
64 View
0 Download

Altmetric

Share

Gmail Facebook X LinkedIn More