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On a Basis Framework for High Order Anisotropic Mesh Adaptation

coupez, thierry

Research Notes, 26th International Meshing Roundtable, Sandia National Laboratories, September 18-21 2017

INTERNATIONAL
MESHING
ROUNTABLE

26th International Meshing Roundtable
Barcelona, Spain
September 18-21, 2017

thierry coupez, ICI- Ecole Centrale de Nantes, FR, thierry.coupez@ec-nantes.fr

Research Note Abstract
In this paper we propose a new framework to build high order (mainly P2) meshes (with curved edges) driven by a metric field. In contrast to the common way to obtain such meshes that is to deform a P1 mesh by using an appropriate differential operator, we study a completely different route based on a fully adaptive strategy. Meshes are built in a full Riemann framework, edges being redefined as the geodesics of the underlying Riemannian manifold. The iterative process is made of three ingredients, the mesh topology operation that are defined by basic algebraic topological operations, the on flight edge calculations and the element conformity and shape measurement extension. This paper will show first results of such an approach and will discuss the performance issues.

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