A DFFD simulation method combined with the spectral element method for solid–fluid-interaction problems
Autor: | Li-Chieh Chen, Mei-Jiau Huang |
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Rok vydání: | 2017 |
Předmět: |
Body force
Numerical Analysis Physics and Astronomy (miscellaneous) Fictitious domain method Applied Mathematics Spectral element method Mathematical analysis Boundary (topology) Geometry Eulerian path 010103 numerical & computational mathematics Rigid body 01 natural sciences 010305 fluids & plasmas Computer Science Applications Computational Mathematics Discontinuity (linguistics) symbols.namesake Modeling and Simulation 0103 physical sciences symbols 0101 mathematics Mathematics Interpolation |
Zdroj: | Journal of Computational Physics. 330:749-769 |
ISSN: | 0021-9991 |
DOI: | 10.1016/j.jcp.2016.10.050 |
Popis: | A 2D simulation method for a rigid body moving in an incompressible viscous fluid is proposed. It combines one of the immersed-boundary methods, the DFFD (direct forcing fictitious domain) method with the spectral element method; the former is employed for efficiently capturing the two-way FSI (fluid-structure interaction) and the geometric flexibility of the latter is utilized for any possibly co-existing stationary and complicated solid or flow boundary. A pseudo body force is imposed within the solid domain to enforce the rigid body motion and a Lagrangian mesh composed of triangular elements is employed for tracing the rigid body. In particular, a so called sub-cell scheme is proposed to smooth the discontinuity at the fluid-solid interface and to execute integrations involving Eulerian variables over the moving-solid domain. The accuracy of the proposed method is verified through an observed agreement of the simulation results of some typical flows with analytical solutions or existing literatures. The direct-forcing fictitious domain method and the spectral element method are combined.Direct interpolation of Eulerian variables onto Lagrangian mesh is not necessary.Non-fluctuating pressure fields are obtained with a smoothed pseudo body force.The proposed method possesses a spectral accuracy.Both small and large solid-to-fluid density ratios are applicable. |
Databáze: | OpenAIRE |
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