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Transparent boundary conditions as dissipative closures
Author(s) -
Oliver Marcel,
Bühler Oliver
Publication year - 2008
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200810601
Subject(s) - dissipative system , dissipation , boundary (topology) , closure (psychology) , spectral space , mechanics , domain (mathematical analysis) , space (punctuation) , flow (mathematics) , boundary value problem , physics , statistical physics , classical mechanics , computer science , mathematical analysis , mathematics , thermodynamics , economics , pure mathematics , market economy , operating system
Abstract We study the systematic development of subgrid closures via transparent boundary conditions in spectral space in one of the simplest possible settings: passive tracer transport in a doubly–periodic shear flow that has small support in the spectral domain. The resulting closure schemes have small dissipation rate errors and are only minimally over–dissipative for unsteady flows. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)