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Civil-Comp Proceedings
ISSN 1759-3433 CCP: 105
PROCEEDINGS OF THE NINTH INTERNATIONAL CONFERENCE ON ENGINEERING COMPUTATIONAL TECHNOLOGY Edited by:
Paper 77
A Spectral-Element Simulator for Two-Dimensional Rigid-Body-Fluid Interaction Problems L.-C. Chen and M.-J. Huang
Mechanical Engineering Department, National Taiwan University, Taipei, Taiwa L.-C. Chen, M.-J. Huang, "A Spectral-Element Simulator for Two-Dimensional Rigid-Body-Fluid Interaction Problems", in , (Editors), "Proceedings of the Ninth International Conference on Engineering Computational Technology", Civil-Comp Press, Stirlingshire, UK, Paper 77, 2014. doi:10.4203/ccp.105.77
Keywords: fluid-structure interaction, spectral element method, penalization method, immersed boundary method.
Summary
In this paper, an immersed-boundary-type simulation tool, is developed, to simulate
the two-way interaction of a two-dimensional rigid body moving in an
incompressible viscous fluid. In this two-dimensional simulator, the entire
fluid-solid domain is treated as an incompressible fluid with non-uniform density.
The no-slip boundary condition at the rigid body surface is enforced by the
penalization method, namely by adding a penalization term in the momentum
equation which vanishes outside the rigid body. The fluid solver is developed using
the spectral element method for the spatial discretization and a mixed
explicit-implicit scheme for the temporal discretization. A smoothing scheme called
the "sub-cell scheme" is proposed to take care of the discontinuity at the
fluid-structure interface. The sedimentation of a circular cylinder in a channel was
simulated to test the validity and accuracy of the proposed fluid-structure interation
scheme. The simulation results agree well with those in the existing literatures.
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