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(16)
Annular Flow
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Finite Difference
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Subgrid scale model for finite difference simulations of turbulent flows in plane channels and annuli
Subgrid scale model for finite difference simulations of turbulent flows in plane channels and annuli,10.1016/00219991(75)900935,Journal of Computat
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Subgrid scale model for finite difference simulations of turbulent flows in plane channels and annuli
(
Citations: 315
)
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U. Schumann
High
Reynolds number
turbulent flows of incompressible fluids in plane channels and annuli are simulated using a
finite difference
procedure which integrates the Navier Stokes equations in time and in threedimensional space. This paper describes the
finite difference
procedure and the subgrid scale (SGS) motion model. The model differs from earlier ones in the following points. The
finite difference
equations are based on integral conservation equations for each grid volume. As a consequence the SGS stresses are defined as surface mean rather than grid volume mean values of the fluctuating velocity products. This allows us to identify and model the effects of anisotropic grids (especially unequally sided grid volumes) and anisotropic
finite difference
operators. In this model SGS stresses are split into two parts, one accounting for locally isotropic turbulence, the other for inhomogeneous effects. This results in a model which is meaning ful even if the size of the grid volumes is very large. The SGS
kinetic energy
is calculated using a separate transport equation. The boundary conditions are formulated in a manner consistent with the SGS theory. The method may be used for plane channels and annuli as well, and has been used to simulate flows with up to 65,536 grid volumes. The results agree rather well with experimental values, even for a smaller number of grid volumes.
Journal:
Journal of Computational Physics  J COMPUT PHYS
, vol. 18, no. 4, pp. 376404, 1975
DOI:
10.1016/00219991(75)900935
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Citation Context
(84)
...The traditional method of finding the SFS energy in LES is by a oneequation model (
Schumann 1975;
Deardorff 1980; Moeng 1984; Shaw and Schumann 1992; Carati et al. 1995; Ghosal et al. 1995), which consists of solving the rate equation for e numerically after modelling unknown terms...
...Existing models for the SFS energy have inherent limitations such as the high computational cost of the oneequation model (
Schumann 1975;
Deardorff 1980; Moeng 1984; Shaw and Schumann 1992; Carati et al. 1995; Ghosal et al. 1995), or the inability to produce a local prediction of the SFS energy, in the case of dissipationbased models (Misra and Pullin 1997; Voelkl et al. 2000; Pullin 2000; Meyers and Baelmans 2004)...
Scott T. Salesky
,
et al.
A Similarity Model of SubfilterScale Energy for LargeEddy Simulation...
...17 (
Schumann 1975
)...
Kun Zhou
,
et al.
Simulation of Homogeneous Particle Nucleation in a Free Turbulent Jet
...elling constant. The oneequation SGS model (
Schumann 1975
) was employed in which the SGS turbulence kinetic energy (TKE) kSG S conservation was calculated by solving its transport equation...
W. C. Cheng
,
et al.
LargeEddy Simulation of Flow and Pollutant Transports in and Above Tw...
...Schumann
1975
, Fureby
1999
, Krajnović
et al...
XianXiang Li
,
et al.
Parallel FEM LES with oneequation subgridscale model for incompressi...
...This can range from a loglaw approximation [
22
] to a solution of a system of simplified equations in the near wall region [4]...
...Schumann [
22
] proposed to split the residual stress tensor into a “locally isotropic” part and an “inhomogeneous” part...
...By refining the grid the residual stresses must tend to zero, therefore the inhomogeneous part must have a grid dependence parameter in the turbulent viscosity νa. Schumann [
22
] used a mixing length model for νa with the length scale computed as L = min(κ y, C10�) ,w hereC10 is a constant that is difficult to prescribe for all types of flows...
...Schumann [
22
] and Grotzbach and Schumann [10] tried to derive a theoretical value for the constant but they were forced to introduce corrective constants to match with a range of experiments...
...For the isotropic viscosity νr ,S chumann [
22
] used a model based on the subgrid energy...
Juan Camilo Uribe
,
et al.
Development of a Twovelocities Hybrid RANSLES Model and its Applicat...
References
(1)
The representation of smallscale turbulence in numerical simulation experiments
(
Citations: 163
)
D. K. Lilly
Published in 1967.
Sort by:
Citations
(315)
A Similarity Model of SubfilterScale Energy for LargeEddy Simulations of the Atmospheric Boundary Layer
Scott T. Salesky
,
Marcelo Chamecki
Journal:
Boundarylayer Meteorology  BOUNDLAY METEOROL
, pp. 123, 2011
A walllayer model for largeeddy simulations of turbulent flows with/out pressure gradient
C. Duprat
,
G. Balarac
,
O. Me´tais
,
P. M. Congedo
Published in 2011.
Shifting Schottky barrier heights with ultrathin dielectric layers
L. Lin
,
J. Robertson
,
S. J. Clark
Journal:
Microelectronic Engineering  MICROELECTRON ENG
, vol. 88, no. 7, pp. 14611463, 2011
Development of a new dynamic procedure for the Clark model of the subgridscale scalar flux using the concept of optimal estimator
Y. Fabre
,
G. Balarac
Published in 2011.
Simulation of Homogeneous Particle Nucleation in a Free Turbulent Jet
Kun Zhou
,
Tat Leung Chan
Journal:
Aerosol Science and Technology  AEROSOL SCI TECH
, vol. 45, no. 8, pp. 973987, 2011