2000International Journal for Numerical Methods in FluidsRequires access

Adaptive meshing techniques for viscous flow calculations on mixed element unstructured meshes

Dimitri J. Mavriplis

Open publisher page 88 citations

Abstract

An adaptive refinement strategy based on hierarchical element subdivision is formulated and implemented for meshes containing arbitrary mixtures of tetrahedra, hexahedra, prisms, and pyramids. Special attention is given to keeping memory overheads as low as possible. This procedure is coupled with an algebraic multigrid flow solver, which operates on mixed element meshes. Inviscid flows, as well as viscous flows, are computed on adaptively refined tetrahedral, hexahedral, and hybrid meshes. The efficiency of the method is demonstrated by generating an adapted hexahedral mesh containing 3 million vertices on a relatively inexpensive workstation. Copyright © 2000 John Wiley & Sons, Ltd.

About this research paper

What this paper is about

An adaptive refinement strategy based on hierarchical element subdivision is formulated and implemented for meshes containing arbitrary mixtures of tetrahedra, hexahedra, prisms, and pyramids. Special attention is given to keeping memory overheads as low as possible. This procedure is coupled with an algebraic multigrid flow solver, which operates on mixed element meshes. Inviscid flows, as well as viscous flows, are computed on adaptively refined tetrahedral, hexahedral, and hybrid meshes. The efficiency of the method is demonstrated by generating an adapted hexahedral mesh containing 3 million vertices on a relatively inexpensive workstation. Copyright © 2000 John Wiley & Sons, Ltd.

Why it matters

OpenAlex reports 88 citations for this work. Citation counts describe recorded attention and do not establish research quality.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available abstract

An adaptive refinement strategy based on hierarchical element subdivision is formulated and implemented for meshes containing arbitrary mixtures of tetrahedra, hexahedra, prisms, and pyramids. Special attention is given to keeping memory overheads as low as possible. This procedure is coupled with an algebraic multigrid flow solver, which operates on mixed element meshes. Inviscid flows, as well as viscous flows, are computed on adaptively refined tetrahedral, hexahedral, and hybrid meshes. The efficiency of the method is demonstrated by generating an adapted hexahedral mesh containing 3 million vertices on a relatively inexpensive workstation. Copyright © 2000 John Wiley & Sons, Ltd.

Key concepts: Hexahedron, Polygon mesh, Tetrahedron, Inviscid flow, Multigrid method, Computational science, Volume mesh, Finite element method

Related papers

Back to paper searchBrowse research topicsOriginal source
Adaptive meshing techniques for viscous flow calculations on mixed element unstructured meshes — Research Paper | ScholarLens