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Sy, Soyibou; Murea, Cornel Marius

A stable time advancing scheme for solving fluid-structure interaction problem at small structural displacements. (English) Zbl 1194.74475

Comput. Methods Appl. Mech. Eng. 198, No. 2, 210-222 (2008).
Summary: A semi-implicit time advancing scheme for transient fluid-structure interaction problem is presented. At every time step, a least squares problem is solved by partitioned procedures, such that the continuity of the velocity as well as the continuity of the stress hold at the interface. During the iterative method for solving the optimization problem, the fluid mesh does not move, which reduces the computational effort. The stability of the algorithm is derived. The numerical results presented in this paper show that the computed solution is similar to the one obtained by the implicit algorithm, but the computational time is reduced.

Cited in 9 Documents

MSC:

74S05 Finite element methods applied to problems in solid mechanics
74F10 Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.)
76D05 Navier-Stokes equations for incompressible viscous fluids

Keywords:

fluid-structure interaction; semi-implicit time advancing scheme; finite element

Software:

FreeFem++
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Full Text: DOI

References:

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