===== Meshing techniques =====

===== Unstructured triangular and tetrahedral meshes =====

Several examples of grid generation are presented. All examples are created with [[http://sourceforge.net/projects/ani3d|Ani3D]] (3D Generator of Anisotropic Meshes) package.

==== Mechanics ====
Large deformations. Geometry model is designed in CAD system. Strength analysis and large deformations are computed with Fidesys package. Ani3D package is used for mesh generation.\\
{{:grids:27_leverarm_cad.png?200|}}
{{:grids:27_leverarm.png?200|}}
{{:grids:27_leverarm_cut.png?200|}}
{{:grids:27_leverarm_sol1.png?200|}}

Strength analysis is computed with Ani3D package.\\
{{:grids:gear-cad.png?200|}}
{{:grids:gear-surf.png?200|}}
{{:grids:gear-cut.png?200|}}
{{:grids:gear_mesh0.png?200|}}

==== Biomathematics ====
=== Immunology ===
Geometry model of a lymph node.\\
{{:grids:lymph-img1.jpeg?100|}}
{{:grids:lymph-plan-rus.png?200|}}
{{:grids:ll6.png?200|}}
{{:grids:ll1.png?200|}}
{{:grids:ll3.png?200|}}

=== Bioimpedance analysis ===
Simplified geometry model of a human body.\\
{{:grids:bi-mesh.png?100|}}
{{:grids:bi-surf.png?100|}}
{{:grids:bi-elec.png?100|}}
{{:grids:bi-skin.png?100|}}
{{:grids:bi-usol.png?200|}}
{{:grids:bi-line.png?200|}}

=== Realistic human body ===
Segmented medical image, geometrical model and unstructured mesh.\\
{{:grids:itksnap-segm.png?200|}}
{{:grids:vhp3.png?200|}}
{{:grids:cgal-body-4.png?200|}}
==== Oceanology ====
Triangular unstructured grids on the surface.\\
{{:grids:oc1.png?200|}}
{{:grids:oc2.png?200|}}
{{:grids:oc3.png?200|}}
{{:grids:oc4.png?200|}}

Automatic bathymetry-based mesh adaptation.\\
{{:grids:mesh1.png?200|}}
{{:grids:mesh2.png?200|}}

==== Geology ====
Automatic tetrahedral mesh generation for layered anisotropic region. First picture is stretched 50 times in Z direction.\\
{{:grids:andra_50x.png?200|}}
{{:grids:andra_cut.png?200|}}
{{:grids:andra_src.png?200|}}

Triangular grids for complex multi-domain regions, automatic mesh size adaptation.\\
{{:grids:ibrae-a.png?200|}}
{{:grids:ibrae-c.png?200|}}
{{:grids:ibrae-d.png?200|}}
{{:grids:ibrae-d2.png?200|}}

==== Aerodynamics ====
Mesh around the aircraft. Geometry model is defined by surface triangulation. The surface mesh is improved, and a volume mesh is generated.\\
{{:grids:boeing-geom.png?200|}}
{{:grids:boeing-initial.png?200|}}
{{:grids:boeing-cut-z.png?200|}}
{{:grids:boeing-cut-y.png?200|}}
{{:grids:boeing-cut-x.png?200|}}

===== Octree meshes for flows with free surface =====
[[http://dodo.inm.ras.ru/research/_media/mesh.avi|{{:mesh.jpg?270x180|}}]]

{{:pic5.png?200|}}
{{:pic6.png?200|}}

===== Octree meshes with cut-cells =====

==== Sphere ====
{{:grids:sphere.jpg?200|}}
{{:grids:sphere_mesh.jpg?200|}}
{{:grids:sphere_cut.jpg?200|}}

==== Stanford Bunny ====
{{:grids:bunny.jpg?200|}}
{{:grids:bunny_mesh.jpg?200|}}
{{:grids:bunny_cut.jpg?200|}}

==== Cow ====
{{:grids:cow.jpg?200|}}
{{:grids:cow_mesh.jpg?200|}}
{{:grids:cow_cut.jpg?200|}}

==== Armadillo ====
{{:grids:armad.jpg?200|}}
{{:grids:armad_mesh.jpg?200|}}
{{:grids:armad_cut.jpg?200|}}

===== Publications =====
  - Danilov A. // {{:grids:cmmp139.pdf|Unstructured tetrahedral mesh generation technology}} // %%//%% Comp. Math. and Math. Phys. 2010. V.50, N.1. P.139-156.
  - Данилов А.А. //{{:danilov-thesis.pdf|Технология построения неструктурированных сеток и монотонная дискретизация уравнения диффузии}} // / Диссертация на соискание ученой степени кандидата физико-математический наук по специальности 05.13.18 – математическое моделирование, численные методы и комплексы программ. – М.: ИВМ РАН, 2010.
  - Чернышенко А.Ю. //{{:chernyshenko-thesis.pdf|Технология построения адаптируемых многогранных сеток и численное решение эллиптических уравнений 2-го порядка в трехмерных областях и на поверхностях}} // / Диссертация на соискание ученой степени кандидата физико-математический наук по специальности 05.13.18 – математическое моделирование, численные методы и комплексы программ. – М.: ИВМ РАН, 2013.