Title
Comparison of mapping operators for unstructured meshes.
Abstract
In this paper, two PDE-based mapping operators for the generation of unstructured meshes are compared. While the Winslow operator allows the construction of valid meshes for most configurations, the functional-based operators based on area, length, orthogonality and their combinations provide a finer control on the resulting meshes. Two distinct discretization methods of the operators are also compared. An original approach using a finite difference scheme on unstructured meshes is implemented and compared to a finite volume formulation. While more complex to implement and control, mainly because of the cross-derivative terms which must be carefully discretized, the finite volume method yields a more robust and stable formulation that allows dealing with sharp curvature variations of the boundaries. Finally, a criterion for the mesh smoothness which has a global definition is presented in order to compare the smoothness of the resulting mesh obtained by different operators.
Year
DOI
Venue
2015
10.1007/s00366-014-0361-2
Engineering with Computers
Keywords
Field
DocType
Mesh mapping, Winslow operator, Functional-based operator, Finite difference, Finite volume, Unstructured mesh
Discretization,Mathematical optimization,Polygon mesh,Finite difference,Volume mesh,Orthogonality,Operator (computer programming),Smoothness,Finite volume method,Mathematics
Journal
Volume
Issue
ISSN
31
3
1435-5663
Citations 
PageRank 
References 
0
0.34
4
Authors
3
Name
Order
Citations
PageRank
Sina Arabi101.35
Ricardo Camarero2587.24
François Guibault34712.17