An Algorithm for the Strong-Coupling of the Fluid-Structure Interaction Using a Staggered Approach | Zendy

José C. Pedro | Zendy; Precious Sibanda | Zendy

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An Algorithm for the Strong-Coupling of the Fluid-Structure Interaction Using a Staggered Approach

Author(s) -

José C. Pedro,

Precious Sibanda

Publication year - 2012

Publication title -

isrn applied mathematics

Language(s) - English

Resource type - Journals

eISSN - 2090-5572

pISSN - 2090-5564

DOI - 10.5402/2012/391974

Subject(s) - fluid–structure interaction , finite element method , euler equations , backward euler method , nonlinear system , mathematics , discretization , coupling (piping) , fluid dynamics , euler's formula , piston (optics) , domain (mathematical analysis) , eulerian path , flow (mathematics) , mathematical analysis , algorithm , geometry , lagrangian , mechanics , physics , mechanical engineering , optics , quantum mechanics , wavefront , engineering , thermodynamics

We present a staggered approach for the solution of the piston fluid-structure problem in a time-dependent domain. The one-dimensional fluid flow is modelled using the nonlinear Euler equations. We investigate the time marching fluid-structure interaction and integrate the fluid and structure equations alternately using separate solvers. The Euler equations are written in moving mesh coordinates using the arbitrary Lagrangian-Eulerian (ALE) approach and discretised in space using the finite element method while the structure is integrated in time using an implicit finite difference Newmark-Wilson scheme. The influence of the time lag is studied by comparing two different structural predictors.

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