Tetrahedral grid generation for supercomputer modeling of flow past aerospace objects





grid generation, tetrahedral grids, Gmsh, open source, supercomputer modeling, flow past aerospace objects


Gmsh open source software is used to generate ultra-detailed tetrahedral grids of up to 1 billion cells. The package allows one to build automatically specified grids on a PC in parallel OpenMP mode in a time not exceeding 1 hour when using an Intel i7–9700K PC. The experience of using the package to construct the spatial grids for problems of flows past aerospace objects is described. Several examples of supercomputer calculations for the flows past aerospace objects are given.

Author Biography

M.K. Ermakov


  1. Yu. V. Vassilevski, A. A. Danilov, K. N. Lipnikov, and V. N. Chugunov, Automated Technologies of Constructing Unstructured Settlement Grids (Fizmatlit, Moscow, 2016) [in Russian].
  2. C.  Geuzaine and J.-F. Remacle, “Gmsh: A 3-D Finite Element Mesh Generator with Built-in Pre- and Post-Processing Facilities,” Int. J. Numer. Methods Eng. 79 (11), 1309-1331 (2009).
  3. C. Marot, J. Pellerin, and J.-F. Remacle, “One Machine, One Minute, Three Billion Tetrahedra,” Int. J. Numer. Methods Eng. 117 (9), 967-990 (2019).
  4. C.  Geuzaine and J.-F. Remacle, “A Three-Dimensional Finite Element Mesh Generator with Built-in Pre- and Post-Processing Facilities,”
    http://gmsh.info . Cited October 5, 2020.
  5. H. Si, “TetGen, a Delaunay-based Tetrahedral Mesh Generator,” ACM Trans. Math. Softw. 41 (2), 11.1-11.36 (2015).
  6. H. Si, TetGen, a Quality Tetrahedral Mesh Generator and Three-Dimensional Delaunay Triangulator
    https://www.wias-berlin.de/software/tetgen/files/tetgen-manual.pdf . Cited October 5, 2020.
  7. J.  Schöberl, “NETGEN An Advancing Front 2D/3D-Mesh Generator Based on Abstract Rules,” Comput. Visual. Sci. 1, 41-52 (1997).
  8. M. K. Ermakov and I. A. Kryukov, “Supercomputer Modeling of Flow past Hypersonic Flight Vehicles,” J. Phys.: Conf. Ser. 815 (2017).
    doi 10.1088/1742-6596/815/1/012016
  9. Vl. V. Voevodin, S. A. Zhumatii, S. I. Sobolev, et al., “The Lomonosov Supercomputer in Practice,” Otkrytye Sistemy, No. 7, 36-39 (2012).



How to Cite

Ермаков М. Tetrahedral Grid Generation for Supercomputer Modeling of Flow past Aerospace Objects // Numerical Methods and Programming (Vychislitel’nye Metody i Programmirovanie). 2020. 21. 341-349. doi 10.26089/NumMet.v21r429



Parallel software tools and technologies