NDLI: A critical study of agglomerated multigrid methods for diffusion

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A critical study of agglomerated multigrid methods for diffusion

Content Provider	NASA Technical Reports Server (NTRS)
Author	Thomas, James L. Nishikawa, Hiroaki Diskin Sr., Boris
Copyright Year	2009
Description	Agglomerated multigrid techniques used in unstructured-grid methods are studied critically for a model problem representative of laminar diffusion in the incompressible limit. The studied target-grid discretizations and discretizations used on agglomerated grids are typical of current node-centered formulations. Agglomerated multigrid convergence rates are presented using a range of two- and three-dimensional randomly perturbed unstructured grids for simple geometries with isotropic and highly stretched grids. Two agglomeration techniques are used within an overall topology-preserving agglomeration framework. The results show that multigrid with an inconsistent coarse-grid scheme using only the edge terms (also referred to in the literature as a thin-layer formulation) provides considerable speedup over single-grid methods but its convergence deteriorates on finer grids. Multigrid with a Galerkin coarse-grid discretization using piecewise-constant prolongation and a heuristic correction factor is slower and also grid-dependent. In contrast, grid-independent convergence rates are demonstrated for multigrid with consistent coarse-grid discretizations. Actual cycle results are verified using quantitative analysis methods in which parts of the cycle are replaced by their idealized counterparts.
File Size	3066485
Page Count	12
File Format	PDF
Alternate Webpage(s)	http://archive.org/details/NASA_NTRS_Archive_20090024830
Archival Resource Key	ark:/13960/t73v4jt1n
Language	English
Publisher Date	2009-06-22
Access Restriction	Open
Subject Keyword	Fluid Mechanics And Thermodynamics Isotropy Multigrid Methods Unstructured Grids Mathematics Galerkin Method Targets Topology Computational Grids Diffusion Quantitative Analysis Convergence Ntrs Nasa Technical Reports Server (ntrs) Nasa Technical Reports Server Aerodynamics Aircraft Aerospace Engineering Aerospace Aeronautic Space Science
Content Type	Text
Resource Type	Article

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