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Session Chair: Jörg Schröder, UDE Session Chair: Alexander Schwarz, University of Duisburg-Essen
Location:Auditorium Wolfsburg
Presentations
Anisotropic mesh adaptation strategies for immersed boundary problems : Application to Powder Bed Fusion modeling
Larbi Arbaoui1,2, Pierre Schrooyen1, Olivier Coulaud1, Nicolas Poletz1, Koen Hillewaert1,2
1Cenaero, Belgium; 2University of Liege, Belgium
High order immersed methods are advantageous to capture with high accuracy interface phenomena which often drives the physics of the application. For those, the numerical scheme is modified to solve the moving interface problem without having to remesh. Nonetheless, a refined mesh in the vicinity of the interface is usually required to capture stiff gradient which makes anistropic mesh adaptation very interesting for immersed method.
An anisotropic mesh adaptation method was developed by Coulaud et al. for high order finite element solution. The main principle of this method is to define an optimal metric field through the high order differential form of the solution. Drastic gains in terms of interpolation error and rate of convergence have been demonstrated for high order Discontinuous Galerkin (DG) simulations [1].
In this work, we propose to extend the use of anisotropic mesh adaptation for high order immersed boundary problems. A sharp interface method was integrated into the three dimensional high-order DG code Argo [2] to capture discontinuities on non-confirming mesh. This method ensures high-order of convergence of the DG scheme even near the interface for static and moving boundary problems [3].
To adapt the methodology for a discontinuous solution non conforming with the mesh, three key elements will be discussed in the paper. First, the solution is regularized to obtain a continuous field on the mesh. Secondly, the metric is computed based on this solution and a particular attention is paid on the mesh generated. Indeed, the intersection of the interface and the new mesh can lead to small cut cells which jeopardizes the robustness of the method. Hence some nodes are locally moved to ensure stability of the scheme. Finally, the projection method of the discontinuous solution on the adapted mesh will be discussed.
The mesh adaptation procedure will be illustrated on immersed hydrodynamic problem encountered in powder bed fusion modeling [4]. The powder bed fusion technology is a layer-by-layer manufacturing process which involves laser and powder interaction, melt pool formation and thermodynamics effects. This paper will show how these developments will help to investigate the interaction between laser and powder, melt pool formation and thermodynamics effects.
