Efficient Moving Mesh Technique Using Generalized Swapping
Three-dimensional real-life simulations are generally unsteady and involve moving geometries. Industries are currently still very far from performing such simulations on a daily basis, mainly due to the robustness of the moving mesh algorithm and their extensive computational cost. The proposed approach is a way to improve these two issues. This paper brings two new ideas. First, it demonstrates numerically that moving three-dimensional complex geometries with large displacements is feasible using only vertex displacements and mesh-connectivity changes. This is new and presents several advantages over usual techniques for which the number of vertices varies in time. Second, most of the CPU time spent to move the mesh is due to the resolution of the mesh deformation algorithm to propagate the body displacement inside the volume. Thanks to the use of advanced meshing operators to optimize the mesh, we can reduce drastically the number of such resolutions thus impacting favorably the CPU time. The efficiency of this new methodology is illustrated on numerous 3D problems involving large displacements.
KeywordsMoving mesh mesh deformation algorithm dynamic mesh topology change swapping local reconnection elasticity equation large displacement
Unable to display preview. Download preview PDF.
- 3.Alauzet, F., Olivier, G.: Extension of metric-based anisotropic mesh adaptation to time-dependent problems involving moving geometries. In: 49th AIAA Aerospace Sciences Meeting, AIAAP 2011-0896, Orlando, FL, USA (January 2011)Google Scholar
- 4.Baker, T.J., Cavallo, P.: Dynamic adaptation for deforming tetrahedral meshes. AIAA Journal 19, 2699–3253 (1999)Google Scholar
- 6.Baum, J.D., Luo, H., Löhner, R.: A new ALE adaptive unstructured methodology for the simulation of moving bodies. In: 32nd AIAA Aerospace Sciences Meeting, AIAAP 1994-0414, Reno, NV, USA (January 1994)Google Scholar
- 7.Benek, J.A., Buning, P.G., Steger, J.L.: A 3D chimera grid embedding technique. In: 7th AIAA Computational Fluid Dynamics Conference, AIAA Paper 1985-1523, AIAAP 1985-1523, Cincinnati, OH, USA (July 1985)Google Scholar
- 10.Dobrzynski, C., Frey, P.J.: Anisotropic Delaunay mesh adaptation for unsteady simulations. In: Proceedings of the 17th International Meshing Roundtable, pp. 177–194. Springer (2008)Google Scholar
- 11.Frey, P.J., George, P.L.: Mesh generation. Application to finite elements, 2nd edn. ISTE Ltd and John Wiley & Sons (2008)Google Scholar
- 12.George, P.L.: Tet meshing: construction, optimization and adaptation. In: Proceedings of the 8th International Meshing Roundtable, South Lake Tao, CA, USA (1999)Google Scholar
- 18.Marcum, D.L.: Unstructured grid generation using automatic point insertion and local reconnection. Revue Européenne des Éléments Finis 9, 403–423 (2000)Google Scholar
- 19.Olivier, G., Alauzet, F.: A new changing-topology ALE scheme for moving mesh unsteady simulations. In: 49th AIAA Aerospace Sciences Meeting, AIAA Paper 2011-0474, Orlando, FL, USA (January 2011)Google Scholar