tool – Hextreme

Paper: Computing cross fields, a PDE approach based on Ginzburg-Landau theory

Hextreme Staff — Tue, 24 Oct 2017 09:07:01 +0000

We developed an innovative way to compute cross fields in order to spawn points which are consistent with a square grid. The mathematical background is built step by step to highlight the meaningful use of Ginzburg-Landau functional. An interesting result is obtained over the sphere: the anti-cube. The computation is extended to asterisk fields for equilateral triangular grid.

The paper has been pub Paper on Wiley Online Library lished in Elsevier – Procedia Engineering (Volume 203, 201, Pages 219-231).
The C code will soon be available in Gmsh.
This study has been funded by the ARC WAVES 15/19-03.

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HXTSort

Hextreme Staff — Tue, 05 Sep 2017 13:50:39 +0000

view on GitLab

HXTSort – Hextreme Sorting Library

HXTSort is a single header library including lightning fast Parallel Radix Sort macros.

It can sort 400 million integers per second on a laptop’s i7-6700HQ and up to 1 billion integers per second on a Intel® Xeon Phi 7210 ( 1.30GHz).

Because HXTSORT32_UNIFORM does not always pick the best underlying algorithm on the core i7, we manually chose the best of LSB32 and PARALLEL_HYBRID32.

It includes multiple key-based algorithms for sorting data on any standard computer (single-node SMPs). It could also be a very good core algorithm for a MPI merge sort implementation for Clusters.

HXTSort will be used in our future Mesh Generation Library. A version of this library containing only a basic Mesher will be released soon.

Paper: Robust and efficient validation of the linear hexahedral element

Hextreme Staff — Sun, 11 Jun 2017 11:20:03 +0000

We present a method to compute the true validity of hexahedra in an efficient manner. More than 6 million hexahedra are analyzed on a single core per second.

The paper is available on arXiv: arxiv.org/abs/1706.01613.
The C++ code will soon be available in Gmsh.
Input tetrahedral meshes are available here.

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