On an accurate α model for coarse mesh turbulent channel flow simulation

Leo G. Rebholz; Tae Yeon Kim; Young Ji Byon

doi:10.1016/j.apm.2016.10.059

On an accurate α model for coarse mesh turbulent channel flow simulation

Leo G. Rebholz
, Tae Yeon Kim
, Young Ji Byon

Civil & Environmental Engineering

Clemson University

Research output: Contribution to journal › Article › peer-review

12 Scopus citations

Abstract

We present an analytical and numerical study of the reduced NS-α (rNS-α) model of incompressible fluid flow, which was recently proposed as an approximation to NS-α that allows for more efficient computations in the C⁰ finite element setting. Our analytical study consists of establishing connections between rNS-α to some well-studied models, and determining the model's integral invariants, energy cascade, and energy dissipation rate. Numerical simulations of turbulent flows with coarse meshes are performed, and excellent results found, for forced homogeneous, isotropic turbulence, and for turbulent channel flow with friction Reynolds numbers Re_τ = 395, 590, and 1000.

Original language	British English
Pages (from-to)	139-154
Number of pages	16
Journal	Applied Mathematical Modelling
Volume	43
DOIs	https://doi.org/10.1016/j.apm.2016.10.059
State	Published - 1 Mar 2017

Keywords

Energy analysis
Energy spectra
NS-α
Splitting method
Turbulence
Turbulence channel flow

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10.1016/j.apm.2016.10.059

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title = "On an accurate α model for coarse mesh turbulent channel flow simulation",

abstract = "We present an analytical and numerical study of the reduced NS-α (rNS-α) model of incompressible fluid flow, which was recently proposed as an approximation to NS-α that allows for more efficient computations in the C0 finite element setting. Our analytical study consists of establishing connections between rNS-α to some well-studied models, and determining the model's integral invariants, energy cascade, and energy dissipation rate. Numerical simulations of turbulent flows with coarse meshes are performed, and excellent results found, for forced homogeneous, isotropic turbulence, and for turbulent channel flow with friction Reynolds numbers Reτ = 395, 590, and 1000.",

keywords = "Energy analysis, Energy spectra, NS-α, Splitting method, Turbulence, Turbulence channel flow",

author = "Rebholz, \{Leo G.\} and Kim, \{Tae Yeon\} and Byon, \{Young Ji\}",

note = "Publisher Copyright: {\textcopyright} 2016",

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doi = "10.1016/j.apm.2016.10.059",

language = "British English",

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T1 - On an accurate α model for coarse mesh turbulent channel flow simulation

AU - Rebholz, Leo G.

AU - Kim, Tae Yeon

AU - Byon, Young Ji

PY - 2017/3/1

Y1 - 2017/3/1

N2 - We present an analytical and numerical study of the reduced NS-α (rNS-α) model of incompressible fluid flow, which was recently proposed as an approximation to NS-α that allows for more efficient computations in the C0 finite element setting. Our analytical study consists of establishing connections between rNS-α to some well-studied models, and determining the model's integral invariants, energy cascade, and energy dissipation rate. Numerical simulations of turbulent flows with coarse meshes are performed, and excellent results found, for forced homogeneous, isotropic turbulence, and for turbulent channel flow with friction Reynolds numbers Reτ = 395, 590, and 1000.

AB - We present an analytical and numerical study of the reduced NS-α (rNS-α) model of incompressible fluid flow, which was recently proposed as an approximation to NS-α that allows for more efficient computations in the C0 finite element setting. Our analytical study consists of establishing connections between rNS-α to some well-studied models, and determining the model's integral invariants, energy cascade, and energy dissipation rate. Numerical simulations of turbulent flows with coarse meshes are performed, and excellent results found, for forced homogeneous, isotropic turbulence, and for turbulent channel flow with friction Reynolds numbers Reτ = 395, 590, and 1000.

KW - Energy analysis

KW - Energy spectra

KW - NS-α

KW - Splitting method

KW - Turbulence

KW - Turbulence channel flow

UR - https://www.scopus.com/pages/publications/85007009813

U2 - 10.1016/j.apm.2016.10.059

DO - 10.1016/j.apm.2016.10.059

M3 - Article

AN - SCOPUS:85007009813

SN - 0307-904X

VL - 43

SP - 139

EP - 154

JO - Applied Mathematical Modelling

JF - Applied Mathematical Modelling

ER -

On an accurate α model for coarse mesh turbulent channel flow simulation

Abstract

Keywords

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