Energy dissipation bounds for shear flows for a model in large eddy simulation

被引：13

作者：

Layton, WJ ^{[1
]}

机构：

[1] Univ Pittsburgh, Dept Math, Pittsburgh, PA 15260 USA

来源：

MATHEMATICAL AND COMPUTER MODELLING | 2002年 / 35卷 / 13期

基金：

美国国家科学基金会;

关键词：

large eddy simulation; energy dissipation; shear flows;

D O I：

10.1016/S0895-7177(02)00095-X

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

This report gives an upper bound for the time average of the energy dissipation rate, including energy dissipation due to viscous dissipation and turbulent diffusion in a model for the motion of large eddies in a turbulent flow. The bound is only a function of the reference velocity U, the domain diameter L, the eddy size delta, and surprisingly, the Reynolds number. (C) 2002 Elsevier Science Ltd. All rights reserved.

引用

页码：1445 / 1451

页数：7

共 26 条

[1] [Anonymous], SPRINGER LECT NOTES
[2] BOUNDS FOR TURBULENT SHEAR FLOW
BUSSE, FH
[J]. JOURNAL OF FLUID MECHANICS, 1970, 41 : 219 - &
[3] VARIATIONAL BOUNDS ON ENERGY-DISSIPATION IN INCOMPRESSIBLE FLOWS .2. CHANNEL FLOW
CONSTANTIN, P
DOERING, CR
[J]. PHYSICAL REVIEW E, 1995, 51 (04): : 3192 - 3198
[4] VARIATIONAL BOUNDS ON ENERGY-DISSIPATION IN INCOMPRESSIBLE FLOWS - SHEAR-FLOW
DOERING, CR
CONSTANTIN, P
[J]. PHYSICAL REVIEW E, 1994, 49 (05): : 4087 - 4099
[5] ENERGY-DISSIPATION IN SHEAR DRIVEN TURBULENCE
DOERING, CR
CONSTANTIN, P
[J]. PHYSICAL REVIEW LETTERS, 1992, 69 (11) : 1648 - 1651
[6] ANALYSIS OF A LADYZHENSKAYA MODEL FOR INCOMPRESSIBLE VISCOUS-FLOW
DU, Q
GUNZBURGER, MD
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1991, 155 (01) : 21 - 45
[7] Ferziger J H., 2002, Computational Methods for Fluid Dynamics, Vvol 3, DOI [10.1007/978-3-642-56026-2, DOI 10.1007/978-3-642-56026-2]
[8] GALDI G, 2000, MATH METHODS MODELS, V10, P1
[9] Galdi GP, 2000, ADV MATH FLUID MECH, P1
[10] RIGOROUS BOUND ON THE PLANE-SHEAR-FLOW DISSIPATION RATE
GEBHARDT, T
GROSSMANN, S
HOLTHAUS, M
LOHDEN, M
[J]. PHYSICAL REVIEW E, 1995, 51 (01): : 360 - 365

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