Numerical method for incompressible vortical flows with two unbounded directions
type: Item
instance of: scholarly article
title: Numerical method for incompressible vortical flows with two unbounded directions
zbMATH Open document ID: 0898.76084
author: Steven C. Rennich
author: S. K. Lele
published in: Journal of Computational Physics
publication date: 1998-01-06T00:00:00Z
review text: A new method has been developed for computing unsteady, incompressible, viscous flows in a domain where two dimensions are unbounded, the third dimension is periodic, and the vorticity is rapidly decaying in the unbounded directions. We use the term unbounded to mean doubly infinite (no boundaries of any kind). The method has finite, but arbitrarily high order, formal accuracy, and incurs substantial additional cost for a given mesh. However, this increased cost is more than offset by the reduction in the number of mesh points required for a given accuracy.
Mathematics Subject Classification ID: 76M25
Mathematics Subject Classification ID: 76D05
zbMATH DE Number: 1100745
zbMATH Keywords: Fourier expansion
zbMATH Keywords: convergence
zbMATH Keywords: Laplace's equation
MaRDI profile type: Publication
full work available at URL: jcph.1997.5796
OpenAlex ID: W2007382448
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DOI: 10.1006/JCPH.1997.5796
description: scientific article; zbMATH DE number 1100745