D2.2 First release of the octree mesh-generation capabilities and of the parallel mesh adaptation kernel

Abstract

This document presents a description of the octree mesh-generation capabilities and of the parallel mesh adaptation kernel. As it is discussed in Section 1.3.2 of part B of the project proposal there are two parallel research lines aimed at developing scalable adaptive mesh refinement (AMR) algorithms and implementations. The first one is based on using octree-based mesh generation and adaptation for the whole simulation in combination with unfitted finite element methods (FEMs) and the use of algebraic constraints to deal with non-conformity of spaces. On the other hand the second strategy is based on the use of an initial octree mesh that, after make it conforming through the addition of templatebased tetrahedral refinements, is adapted anisotropically during the calculation. Regarding the first strategy the following items are included:

• Description of the octree-based AMR kernel with space-filling curves.
• Description of a outer, wrapping AMR layer supporting FEM needs.
• Numerical results in a distributed environment.

Regarding the second strategy the following items are included:

• An outline of the anisotropic mesh adaptation algorithm.
• A description of the state of the art of the implementation.
• A discussion on the ongoing and future work.

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