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Fast dynamic grid deformation based on Delaunay graph mapping
journal contribution
posted on 2023-06-08, 05:46 authored by Xueqiang Liu, Ning Qin, Hao XiaA simple and efficient dynamic grid deformation technique is proposed for computing unsteady flow problems with geometrical deformation, relative body movement or shape changes due to aerodynamic optimisation and fluid–structure interaction. A Delaunay graph of the solution domain is first generated, which can be moved easily during the geometric dynamic deformation, even for very large distortion. A one to one mapping between the Delaunay graph and the computational grid is maintained during the movement. Therefore the new computational grid after the dynamic movement can be generated efficiently through the mapping while maintaining the primary qualities of the grid. While most dynamic grid deformation techniques are iterative based on the spring analogy, the present method is non-iterative and much more efficient. On the other hand, in comparison with dynamic grid techniques based on transfinite interpolation for structured grids, it offers both geometric and cell topology flexibility, which is crucial for many unsteady flow problems involving geometric deformation and relative motions. The method is demonstrated through some typical unsteady flow test cases, including a pitching aerofoil in a fixed domain boundary, relative movement between multi-element aerofoils due to flap deployment for high lift, a deformable sphere in a fixed cube, and a three-dimensional flexible wing with large deformation.
History
Publication status
- Published
Journal
Journal of Computational PhysicsISSN
0021-9991Publisher
ElsevierExternal DOI
Issue
2Volume
211Page range
405-423Department affiliated with
- Engineering and Design Publications
Full text available
- No
Peer reviewed?
- Yes
Legacy Posted Date
2012-02-06Usage metrics
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