Publication

A simplified gradient evaluation on non-orthogonal meshes; application to a plasma to a plasma torch simulation method

Kurt Appert, Laurent Klinger
2004
Journal Articles

Abstract

A numerical method is proposed to evaluate gradients on non-uniform, non-orthogonal, three-dimensional structured meshes of hexahedra, as commonly used by finite volume methods. The method uses isoparametric transforms on tetrahedra to evaluate the gradient on a regular mesh and transform it back to the general mesh. It provides second-order accuracy, even,on highly non-orthogonal meshes. Results of stationary three-dimensional numerical simulations of a direct current plasma torch, making use of the proposed method, are presented. (C) 2003 Elsevier Ltd. All rights reserved.

Official source

https://infoscience.epfl.ch/entities/publication/eb3c8e49-5e80-494c-bab6-b838a1b73e54

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Kurt Appert, Laurent Klinger
2004
Journal Articles

Abstract

Official source

https://infoscience.epfl.ch/entities/publication/eb3c8e49-5e80-494c-bab6-b838a1b73e54

About this result

Related concepts (32)

Types of mesh

A mesh is a representation of a larger geometric domain by smaller discrete cells. Meshes are commonly used to compute solutions of partial differential equations and render computer graphics, and to analyze geographical and cartographic data. A mesh partitions space into elements (or cells or zones) over which the equations can be solved, which then approximates the solution over the larger domain. Element boundaries may be constrained to lie on internal or external boundaries within a model.

Mesh generation

Mesh generation is the practice of creating a mesh, a subdivision of a continuous geometric space into discrete geometric and topological cells. Often these cells form a simplicial complex. Usually the cells partition the geometric input domain. Mesh cells are used as discrete local approximations of the larger domain. Meshes are created by computer algorithms, often with human guidance through a GUI , depending on the complexity of the domain and the type of mesh desired.

Geometry processing

Geometry processing, or mesh processing, is an area of research that uses concepts from applied mathematics, computer science and engineering to design efficient algorithms for the acquisition, reconstruction, analysis, manipulation, simulation and transmission of complex 3D models. As the name implies, many of the concepts, data structures, and algorithms are directly analogous to signal processing and .

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A simplified gradient evaluation on non-orthogonal meshes; application to a plasma to a plasma torch simulation method

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