Analysis of truncation errors and design of physically optimized discretizations

Stefan Hickel, Nikolaus A. Adams

Research output: Chapter in Book/Conference proceedings/Edited volumeConference contributionScientificpeer-review

2 Citations (Scopus)

Abstract

Further development of Large Eddy Simulation (LES) faces as major obstacle the strong coupling between subgrid-scale (SGS) model and the truncation error of the numerical discretization. Recent analyzes indicate that for certain discretizations and certain flow configurations the truncation error itself can act as implicit SGS model. In this paper, we explore how implicit SGS models can be derived systematically and propose a procedure for design, analysis, and optimization of nonlinear discretizations. Implicit LES can be made rigorous by requiring that the numerical dissipation approximates the SGS dissipation obtained from the analysis of nonlinear interactions in turbulence.

Original languageEnglish
Title of host publicationQuality and Reliability of Large-Eddy Simulations
EditorsBernard J. Geurts, Johan Meyers, Pierre Sagaut
PublisherSpringer
Pages49-60
Number of pages12
ISBN (Print)9781402085772
Publication statusPublished - 1 Jan 2008
Externally publishedYes
Event1st Meeting on Quality and Reliability of Large-Eddy Simulation, QLES 2007 - Leuven, Belgium
Duration: 22 Oct 200724 Oct 2007

Publication series

NameERCOFTAC Series
Volume12
ISSN (Print)1382-4309
ISSN (Electronic)2215-1826

Conference

Conference1st Meeting on Quality and Reliability of Large-Eddy Simulation, QLES 2007
CountryBelgium
CityLeuven
Period22/10/0724/10/07

Keywords

  • Implicit LES
  • Optimization
  • Subgrid-scale modeling
  • Truncation error

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