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AC-CBS-Based Partitioned Semi-Implicit Coupling Algorithm for Fluid-Structure Interaction Using Stabilized Second-Order Pressure Scheme

Part of: Coupling of solid mechanics with other effects Partial differential equations, initial value and time-dependent initial-boundary value problems Equations of mathematical physics and other areas of application Basic methods in fluid mechanics

Published online by Cambridge University Press:  27 March 2017

Tao He ,
Kai Zhang  and
Tong Wang
Tao He*
Affiliation:
Department of Civil Engineering, Shanghai Normal University, Shanghai 201418, China School of Engineering, University of Birmingham, Birmingham B15 2TT, UK
Kai Zhang*
Affiliation:
School of Naval Architecture, Ocean and Civil Engineering, Shanghai Jiao Tong University, Shanghai 200240, China Department of Civil Engineering, Graduate School of Urban Innovation, Yokohama National University, Yokohama 2408501, Japan
Tong Wang*
Affiliation:
Department of Civil Engineering, Shanghai Normal University, Shanghai 201418, China
*
*Corresponding author. Email addresses:txh317@bham.ac.uk (T. He), kai-zhang-kf@ynu.jp (K. Zhang), tongwang@shnu.edu.cn (T. Wang)
*Corresponding author. Email addresses:txh317@bham.ac.uk (T. He), kai-zhang-kf@ynu.jp (K. Zhang), tongwang@shnu.edu.cn (T. Wang)
*Corresponding author. Email addresses:txh317@bham.ac.uk (T. He), kai-zhang-kf@ynu.jp (K. Zhang), tongwang@shnu.edu.cn (T. Wang)
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Abstract

We analyze in this paper the pressure splitting scheme of a partitioned semi-implicit coupling algorithm for fluid-structure interaction (FSI) simulation. The semi-implicit coupling algorithm is developed on the ground of the artificial compressibility characteristic-based split (AC-CBS) scheme that serves not only for the fluid subsystem but also for the global FSI system. As the dual-time stepping procedure recommended for quasi-incompressible flows is incorporated into the implicit coupling stage, the fluctuating pressure may be unusually susceptible to the AC coefficient. Moreover, it is not trivial to devise an optimal AC formulation for pressure estimation. Instead, we consider a stabilized second-order pressure splitting scheme in the AC-CBS-based partitioned semi-implicit coupling algorithm. Computer simulation of a benchmark FSI experiment demonstrates that good agreement is exposed between the available and present data.

Keywords

Fluid-structure interactionsemi-implicit couplingCBSartificial compressibilitysecond order

MSC classification

Secondary: 35Q30: Navier-Stokes equations 65M22: Solution of discretized equations 65M60: Finite elements, Rayleigh-Ritz and Galerkin methods, finite methods 74F10: Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) 76M10: Finite element methods

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Type
Research Article
Information
Communications in Computational Physics , Volume 21 , Issue 5 , May 2017 , pp. 1449 - 1474
Copyright
Copyright © Global-Science Press 2017 

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