Ten questions concerning the large-eddy simulation of turbulent flows

By Stephen B. Pope. 2004

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In the past 30 years, there has been considerable progress in the development of large-eddy simulation (LES) for turbulent flows, which has been greatly facilitated by the substantial increase in computer power. In this paper, we raise some fundamental questions concerning the conceptual foundations of LES and about the methodologies and protocols used in its application. The 10 questions addressed are stated at the end of the introduction. Several of these questions highlight the importance of recognizing the dependence of LES calculations on the artificial parameter Δ (i.e. the filter width or, more generally, the turbulence resolution length scale). The principle that LES predictions of turbulence statistics should depend minimally on Δ provides an alternative justification for the dynamic procedure.

Subfields: Aerospace Engineering, Computational Mechanics, Environmental Engineering

View Paper: https://www.semanticscholar.org/paper/7a7ef024ed6b9bf60464ec63d69100b282340002

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Citations in the corpus

Large-eddy simulation and multiscale modelling of a Richtmyer–Meshkov instability with reshock (2006, methodology): “For a discussion of this and other conceptual foundations of LES, see Pope (2004). 3.2. Application of the stretched-vortex subgrid model Closure of the LES equations is completed in the form of a model for the subgrid interaction terms: stress tensor, τij , turbulent temperature flux, q T i , and m”
Machine learning–accelerated computational fluid dynamics (2021, neutral): “This is mainly due to the first-order dependence of LES on the subgrid-scale (SGS) model, especially for flows whose rate controlling scale is unresolved (20).”
Fire Dynamics Simulator (Version 5): User's Guide (2007, background): “range in which the scales of turbulent motion (in theory) exhibit fractal-like, scale similar behavior (recently the procedure has been derived from other arguments [51]).”
A posteriori study using a DNS database describing fluid disintegration and binary-species mixing under supercritical pressure: heptane and nitrogen (2010, background): “Clearly, if the interest is only in statistical equivalence (Pope 2004), then a larger set of models than the ones recommended for reaching our stringent requirements would be available to the user.”
Dynamic subgrid‐scale models for momentum and scalar fluxes in large‐eddy simulations of neutrally stratified atmospheric boundary layers over heterogeneous terrain (2006, methodology): “A similar behavior is reported over a homogeneous surface for a passive scalar by Porté-Agel [2004]. It is important to note that these results bring into question the common practice of assuming a constant value of Scsgs (Prsgs in the case of heat fluxes).”
Large Eddy Simulations: How to evaluate resolution (2009, background): “Pope (2004) suggests that when 80% of the turbulent kinetic energy is resolved, i.e. γ = kres < kT > +kres > 0.8, kres = 1 2 〈u′iu ′ i〉, (2) the LES can be consider to be well-resolved.”