Mesh generation using unstructured computational meshes and elliptic partial differential equation smoothing

Steve L. Karman, W. Kyle Anderson, Mandar Sahasrabudhe

Research output: Contribution to journalArticlepeer-review

35 Scopus citations

Abstract

A novel approach for generating unstructured meshes using elliptic smoothing is presented. Like structured mesh-generation methods, the approach begins with the construction of a computational mesh. The computational mesh is used to solve elliptic partial differential equations that control grid point distributions and improve mesh quality. Two types of elliptic partial differential equations are employed: modified linear-elastic theory and Winslow equations, with or without forcing functions. Results are included to illustrate the use of these methods for unstructured mesh generation, mesh untangling, and mesh movement and viscous mesh creation.

Original languageEnglish
Pages (from-to)1277-1286
Number of pages10
JournalAIAA Journal
Volume44
Issue number6
DOIs
StatePublished - Jun 2006
Externally publishedYes

Funding

The University of Tennessee at Chattanooga through the Lupton Renaissance Fund sponsored this work. This support is greatly appreciated.

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