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mesh algorithms
This document discusses meshing algorithms and grids used in computational modeling. It defines the basic elements of a mesh as nodes, edges, faces, and volumes. It describes common 2D and 3D mesh element shapes such as triangles, quadrilaterals, tetrahedrons, and hexahedrons. The document also introduces the Ghs3D algorithm for automatically generating tetrahedral volume meshes from boundary surface meshes.
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Presentation by Gopi Krishna and Vikas on meshing algorithms.
Mesh is a discretization of CAD models into topological entities: Nodes, Edges, Faces, and Volumes.
Two types of 2D mesh: Triangle (3 sides, quick to create) and Quadrilateral (4 sides, common in structured grids).
Types of 3D mesh: Pyramid, Prism (triangular base), Tetrahedron, and Hexahedron with varying advantages.
Grids are arrangements providing structure in design, allowing for size alteration without redesign.
Introduction to defining 3D meshing algorithms and details about Ghs3D algorithm for automatic tetrahedral mesh generation.
Ghs3D is an automatic tetrahedral mesh generator for complex domains based on input surface mesh.
Acknowledgment of presenters Gopi Krishna and Vikas.
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mesh algorithms
- 1. MESHING ALGORITHMS Presented by Gopi Krishna(13MCD1053) Vikas (13MCD1054)
- 2. What is amesh • MESH represents a discretization of a geometrical CAD model into a set of entities with a simple topology.
- 3. The topology ofa mesh is described by the relationships between its entities including: • Node — 0D object of a mesh presented by a point with coordinates (x, y, z). • Edge — 1D element of a mesh defined by two nodes. • Face — 2D element of a mesh defined by three or four edges (closed contour). • Volume — 3D element of a mesh defined by several faces. These entities are considered as topological entities and they don't imply any geometric representation. Only Nodes reference geometric representations of points with definite coordinates. The node entity will contain additional information about its position in the space and its relations with the meshed CAD model.
- 4. Types of mesh Twodimensional:• Triangle This cell shape consists of 3 sides and is one of the simplest types of mesh. A triangular surface mesh is always quick and easy to create. It is most common in unstructured grids. • Quadrilateral This cell shape is a basic 4 sided one. It is most common in structured grids.
- 5. Three dimensional • Pyramid Theseare effectively used as transition elements between one type of elements and other in hybrid meshes and grids. • Prism with triangular base The advantage with this type of layer is that it resolves boundary layer efficiently. • Tetrahedron In most cases a tetrahedral volume mesh is generated automatically. • Hexahedron For the same cell amount, the accuracy of solutions in hexahedral meshes is the highest.
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- 7. GRID • A gridis an arrangement of shapes. Grids play a crucial but invisible role in geometrical design. They provide the underlying structure for a composition. They allow a designer to make the first creative steps when contemplating a new composition. • Grids allow a designer to easily alter the size of a composition without having to redesign or recalculate. Grids allow a designer to use one grid design but still create a variety of different geometrical compositions.
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- 9. Defining 3d MeshingAlgorithm
- 11. Construction of Meshusing Ghs3D algorithm
- 13. • Ghs3d isa fully automatic tetrahedral mesh generator suitable to create volume meshes for complex domains defined by a conforming mesh of the boundary (i.e., a surface triangulation). • The volume mesh is governed by the properties of the surface mesh given as input.
- 14.