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Anisotropic metric-based mesh adaptation for unsteady CFD simulations involving moving geometries

Géraldine Olivier 1 
1 Gamma3 - Automatic mesh generation and advanced methods
Inria Paris-Rocquencourt, ICD - Institut Charles Delaunay
Abstract : This thesis deals with time-evolving simulations involving fixed or moving geometries. Growing expectations of industrials regarding this kind of simulations are currently observed, and most of them would like such computations to be performed in their research centers on a daily basis, which is clearly not the case at the moment. This works attempts to partly fulfill this demand, and notably intends to improve the accuracy of these simulations as well as their efficiency in terms of CPU time. Anisotropic metric-based mesh adaptation strategies, which have now reached a certain level of maturity on steady problems, offers good perspectives to enhance time-evolving simulations, but their extension in this context is far from straightforward. As for their application to moving mesh simulations, only few attempts can be listed so far and only a minority address complex three-dimensional real-life problems. This study proposes several novelties on these questions, notably the extension of multi-scale anisotropic metric based mesh adaptation to unsteady problems, for both fixed and moving domains. Besides, mainly for CPU reduction purpose, a genuine strategy has been adopted to handle moving mesh simulations. It is notably demonstrated in practice that it is possible to move three dimensional complex objects undergoing large displacements using only connectivity changes and vertex movements, which comes to keep the number of vertices of the moving mesh constant throughout the simulation. Limiting the number of mesh operations allowed enable to considerably reduce CPU time as time is saved both on the meshing and on the solver parts. Finally, a new scheme extending the classical fixed-topology Arbitrary- Lagrangian-Eulerian framework to variable -topology moving meshes is proposed and its validity has been assessed on two dimensional test cases. All these methods have been applied to Computational Fluid Dynamics simulations governed by the Euler compressible fluid equations around complex geometries in two and three dimensions.
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Submitted on : Monday, October 8, 2012 - 12:04:18 PM
Last modification on : Friday, January 21, 2022 - 3:21:47 AM
Long-term archiving on: : Friday, December 16, 2016 - 9:39:13 PM

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  • HAL Id : tel-00739406, version 1

Citation

Géraldine Olivier. Anisotropic metric-based mesh adaptation for unsteady CFD simulations involving moving geometries. Numerical Analysis [cs.NA]. Université Pierre et Marie Curie - Paris VI, 2011. English. ⟨NNT : ⟩. ⟨tel-00739406⟩

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