MESH2D: Delaunay-based unstructured mesh-generation

バージョン 3.1.0.2 (401 KB) 作成者: Darren Engwirda
Generate unstructured meshes for general two-dimensional geometries.
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更新 2024/3/2
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MESH2D is an unstructured mesh-generator for two-dimensional polygonal geometries, providing a range of relatively simple, yet effective two-dimensional meshing algorithms. MESH2D includes variations on the "classical" Delaunay refinement technique, a new "Frontal"-Delaunay refinement scheme, a non-linear mesh optimisation method, and auxiliary mesh and geometry pre- and post-processing facilities.
Algorithms implemented in MESH2D are "provably-good" - ensuring convergence, geometrical and topological correctness, and providing guarantees on algorithm termination and worst-case element quality bounds. Support for user-defined mesh-spacing functions and multi-par" geometry definitions is also provided, allowing MESH2D to handle a wide range of complex domain types and user-defined constraints. MESH2D typically generates very high-quality output, appropriate for a variety of finite-volume/element type applications.
MESH2D is a simplified version of my JIGSAW mesh-generation algorithm (a C++ code). MESH2D aims to provide a straightforward implementation of these Delaunay-based triangulation and mesh optimisation techniques.
See MESH2D on GitHub for additional information and references.
See TRIDEMO to get started with a set of example problems:
tridemo( 0); % a very simple example to get everything started.
tridemo( 1); % investigate the impact of the "radius-edge" threshold.
tridemo( 2); % Frontal-Delaunay vs. Delaunay-refinement refinement.
tridemo( 3); % explore impact of user-defined mesh-size constraints.
tridemo( 4); % explore impact of "hill-climbing" mesh optimisations.
tridemo( 5); % assemble triangulations for "multi-part" geometries.
tridemo( 6); % assemble triangulations with "internal" constraints.
tridemo( 7); % investigate the use of "quadtree"-type refinement.
tridemo( 8); % explore use of custom, user-defined mesh-size functions.
tridemo( 9); % larger-scale problem, mesh refinement + optimisation.
tridemo(10); % medium-scale problem, mesh refinement + optimisation.
A call to initmsh() should be included in MESH2D scripts to ensure the path variable includes all MESH2D sub-directories.

引用

D. Engwirda, Locally-optimal Delaunay-refinement and optimisation-based mesh generation, Ph.D. Thesis, School of Mathematics and Statistics, The University of Sydney, http://hdl.handle.net/2123/13148, 2014.

D. Engwirda, Unstructured mesh methods for the Navier-Stokes equations, Honours Thesis, School of Aerospace, Mechanical and Mechatronic Engineering, The University of Sydney, 2005.

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バージョン 公開済み リリース ノート
3.1.0.2

Improve support + bugfixes for R2025
3.1.0.1

Website updates.
3.1.0.0

Updates to description/references.
Improved support for OCTAVE.
3.0.3.0

Updates to the underlying AABB-Tree package.
3.0.2.0

Updates to 3.0.2: added TRIDIV2, improved REFINE2 / SMOOTH2, new examples in TRIDEMO.
3.0.1.0

Update project title.
3.0.0.0

Major updates all-round for MESH2D - 3.0.0.
1.0.0.0

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