Effect of grid aspect ratio on convergence

The effects of high-aspect-ratio grids on algorithm convergence are considered by means of vector stability theory and computational experiments. The results indicate that approximately factored implicit schemes experience convergence deterioration because of nonoptimum local time-stepping procedure...

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Veröffentlicht in:AIAA journal 1994-12, Vol.32 (12), p.2401-2408
Hauptverfasser: Buelow, P. E. O, Venkateswaran, S, Merkle, Charles L
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creator Buelow, P. E. O
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description The effects of high-aspect-ratio grids on algorithm convergence are considered by means of vector stability theory and computational experiments. The results indicate that approximately factored implicit schemes experience convergence deterioration because of nonoptimum local time-stepping procedures and increased need for viscous preconditioning. Based on this insight, an enhanced algorithm is devised using improved selection of the local time step, appropriate definition of the viscous preconditioning matrix, and proper implementation of the boundary conditions. The new algorithm provides uniformly efficient convergence at all aspect ratios for both Euler and Navier-Stokes computations for a variety of test problems.
doi_str_mv 10.2514/3.12306
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source NASA Technical Reports Server; Alma/SFX Local Collection
subjects Algorithms
Computational methods in fluid dynamics
Engineering
Exact sciences and technology
Fluid dynamics
Fluid Mechanics And Heat Transfer
Fundamental areas of phenomenology (including applications)
Physics
title Effect of grid aspect ratio on convergence
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