Adaptive refinement-coarsening scheme for three-dimensional unstructured meshes

AIAA Journal ◽  
1993 ◽  
Vol 31 (8) ◽  
pp. 1440-1447 ◽  
Author(s):  
Y. Kallinderis ◽  
P. Vijayan
Keyword(s):  
Three Dimensional ◽  
Unstructured Meshes ◽  
Adaptive Refinement

High Order Schemes on Three-Dimensional General Polyhedral Meshes — Application to the Level Set Method

2012 ◽  
Vol 12 (1) ◽  
pp. 1-41 ◽  
Author(s):  
Thibault Pringuey ◽  
R. Stewart Cant
Keyword(s):  
Level Set ◽  
Three Dimensional ◽  
Unstructured Meshes ◽  
High Order ◽  
Convex Polyhedra ◽  
Two Phase ◽  
High Order Schemes ◽  
Flow Problems ◽  
Mixed Element ◽  
Areas Of Interest

AbstractIn this article, we detail the methodology developed to construct arbitrarily high order schemes — linear and WENO — on 3D mixed-element unstructured meshes made up of general convex polyhedral elements. The approach is tailored specifically for the solution of scalar level set equations for application to incompressible two-phase flow problems. The construction of WENO schemes on 3D unstructured meshes is notoriously difficult, as it involves a much higher level of complexity than 2D approaches. This due to the multiplicity of geometrical considerations introduced by the extra dimension, especially on mixed-element meshes. Therefore, we have specifically developed a number of algorithms to handle mixed-element meshes composed of convex polyhedra with convex polygonal faces. The contribution of this work concerns several areas of interest: the formulation of an improved methodology in 3D, the minimisation of computational runtime in the implementation through the maximum use of pre-processing operations, the generation of novel methods to handle complex 3D mixed-element meshes and finally the application of the method to the transport of a scalar level set.

scholarly journals Automatic coarsening of three dimensional anisotropic unstructured meshes for multigrid applications

2012 ◽  
Vol 218 (21) ◽  
pp. 10500-10519 ◽  
Author(s):  
Youssef Mesri ◽  
Hervé Guillard ◽  
Thierry Coupez
Keyword(s):  
Three Dimensional ◽  
Unstructured Meshes
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