Assessing the numerical dissipation rate and viscosity in numerical simulations of fluid flows

•Numerical dissipation rate analysis of arbitrary CFD solver in spectral, pseudo-spectral and physical space.•Local numerical dissipation rate and viscosity analysis in pseudo-spectral and physical space.•Numerical dissipation rate analysis within arbitrary-shaped fluid-domains.•Self contained post-...

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Bibliographic Details
Published in:Computers & fluids 2015-07, Vol.114, p.84-97
Main Authors: Schranner, Felix S., Domaradzki, J. Andrzej, Hickel, Stefan, Adams, Nikolaus A.
Format: Article
Language:English
Subjects:
Computational fluid dynamics
Computer simulation
Fluid flow
Local numerical dissipation
Mathematical models
Navier-Stokes equations
Numerical dissipation
Numerical viscosity
Physical space
Pseudo-spectral space
Turbulence
Turbulent flow
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Summary:•Numerical dissipation rate analysis of arbitrary CFD solver in spectral, pseudo-spectral and physical space.•Local numerical dissipation rate and viscosity analysis in pseudo-spectral and physical space.•Numerical dissipation rate analysis within arbitrary-shaped fluid-domains.•Self contained post-processing for CFD-solver inherent effective numerical dissipation. We propose a method for quantifying the effective numerical dissipation rate and effective numerical viscosity in Computational Fluid Dynamics (CFD) simulations. Different from previous approaches that were formulated in spectral space, the proposed method is developed in a physical-space representation and allows for determining numerical dissipation rates and viscosities locally, that is, at the individual cell level, or for arbitrary subdomains of the computational domain. The method is self-contained and uses only the results produced by the Navier–Stokes solver being investigated. As no further information is required, it is suitable for a straightforward quantification of numerical dissipation as a post-processing step. We demonstrate the method’s capabilities on the example of implicit large-eddy simulations of a three-dimensional Taylor–Green vortex flow, serving as a test flow going through laminar, transitional, and turbulent stages of time evolution. For validation, we compare results for the effective numerical dissipation rate with exact reference data we obtained with an accurate, spectral-space approach.
ISSN:0045-7930
1879-0747
DOI:10.1016/j.compfluid.2015.02.011