A node-pair finite element/volume mesh adaptation technique for compressible flows based on a hierarchical approach

M. Fossati, A. Guardone, L. Vigevano

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

A grid adaptation technique for two-dimensional unstructured grids of triangles and quadrilaterals is presented. The error estimation procedure is formulated in terms of a node pair-based data structure that allows for a unified description of the finite element and finite volume schemes. The adaptation algorithm is based on a strategy of hierarchical corrections, where a suitable number of intermediate adapted grids are generated and successively corrected by employing a simple node insertion technique at the midpoint of the element edges. Coarsening of the grid is obtained in an implicit fashion by avoiding the insertion of new nodes during the correction phase. The adaptation history, from the initial to the current grid, including all intermediate grids, is stored and updated through the whole process. No intermediate grid is therefore required to be stored explicitly. The adapted grid is anisotropic, thanks to the adoption of both regular triangular and quadrilateral elements with high aspect ratio that are gathered in, for example, boundary layer or wake regions. Numerical experiments of steady compressible flows, including both inviscid and viscous flows, are presented to support the suitability of the adaptation technique.
LanguageEnglish
Pages1004-1026
Number of pages23
JournalInternational Journal of Numerical Methods in Fluids
Volume70
Issue number8
DOIs
Publication statusPublished - 20 Nov 2012

Fingerprint

Finite Volume Element
Mesh Adaptation
Compressible flow
Coarsening
Compressible Flow
Viscous flow
Error analysis
Data structures
Aspect ratio
Boundary layers
Grid
Vertex of a graph
Experiments
Insertion
Edge Elements
Quadrilateral Element
Inviscid Flow
Triangular Element
Finite Volume Scheme
Midpoint

Keywords

  • steady compressible flows
  • unstructured mesh adaptions
  • finite volume scheme
  • finite element scheme
  • node pair formulation

Cite this

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A node-pair finite element/volume mesh adaptation technique for compressible flows based on a hierarchical approach. / Fossati, M.; Guardone, A.; Vigevano, L.

In: International Journal of Numerical Methods in Fluids, Vol. 70, No. 8, 20.11.2012, p. 1004-1026.

Research output: Contribution to journalArticle

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