Renormalization group analysis of turbulence. I. Basic theory

Victor Yakhot; Steven A. Orszag

doi:10.1007/bf01061452

journal article Jan 01, 1986

Renormalization group analysis of turbulence. I. Basic theory

Victor Yakhot Steven A. Orszag

Journal of Scientific Computing Vol. 1 No. 1 pp. 3-51 · Springer Science and Business Media LLC

View at Publisher Save 10.1007/bf01061452

Topics

No keywords indexed for this article. Browse by subject →

References

39

[1]

Antonia, R. A., Chambers, A. J., and Anselmet, F. (1984).Phys. Chem. Hydrodyn. 5, 368.

[2]

Batchelor, G. (1959).J. Fluid Mech. 5, 113. 10.1017/s002211205900009x

[3]

Bayly, B., and Yakhot, V. (1986).Phys. Rev. A, in press.

[4]

A numerical study of three-dimensional turbulent channel flow at large Reynolds numbers

James W. Deardorff

Journal of Fluid Mechanics 1970 10.1017/s0022112070000691

[5]

Deardorff, J. W. (1971).J. Comp. Phys. 7, 120. 10.1016/0021-9991(71)90053-2

[6]

De Dominicis, C., and Martin, P. C. (1979).Phys. Rev. A 19, 419. 10.1103/physreva.19.419

[7]

Dorfman, R. (1975). In Cohen, E. G. D. (ed.),Fundamental Problems in Statistical Mechanics, North-Holland, Amsterdam.

[8]

Forster, D., Nelson, D., and Stephen, M. (1977).Phys. Rev. A 16, 732. 10.1103/physreva.16.732

[9]

Fournier, J. P., and Frisch, U. (1978).Phys. Rev. A 17, 747. 10.1103/physreva.17.747

[10]

Fournier, J. P., and Frisch, U. (1983).Phys. Rev. A 28, 1000. 10.1103/physreva.28.1000

[11]

Frenkiel, F. N., Klebanoff, P., and Huang, T. T. (1979).Phys. Fluids 22, 1606. 10.1063/1.862820

[12]

Hanjali?, K., and Launder, B. E. (1972).J. Fluid Mech. 52, 609. 10.1017/s002211207200268x

[13]

Herring, J. R., Orszag, S. A., Kraichnan, R. H., and Foxz, D. G. (1974).J. Fluid Mech. 66, 417. 10.1017/s0022112074000280

[14]

Theory of dynamic critical phenomena

P. C. Hohenberg, B. I. Halperin

Reviews of Modern Physics 1977 10.1103/revmodphys.49.435

[15]

Kolmogorov, A. N. (1941).Dokl. Akad. Nauk SSSR 30, 299.

[16]

The structure of isotropic turbulence at very high Reynolds numbers

Robert H. Kraichnan

Journal of Fluid Mechanics 1959 10.1017/s0022112059000362

[17]

Kraichnan, R. H. (1961).J. Math. Phys. 2, 124. 10.1063/1.1724206

[18]

Kraichnan, R. H. (1971).J. Fluid Mech. 47, 525. 10.1017/s0022112071001216

[19]

Landau, L., and Lifshitz, E. M. (1982).Fluid Mechanics, Pergamon, New York.

[20]

Launder, B. E., and Spalding, D. B. (1972).Mathematical Models of Turbulence, Academic Press, New York.

[21]

Launder, B. E., Reece, G. J., and Rodi, W. (1975).J. Fluid Mech. 68, 537. 10.1017/s0022112075001814

[22]

Leslie, D. C. (1972).Developments in the Theory of Turbulence, Clarendon Press, Oxford.

[23]

Ma, S. K., and Mazenko, G. (1975).Phys. Rev. B 11, 4077. 10.1103/physrevb.11.4077

[24]

Moin, P., and Kim, J. (1981).J. Fluid Mech. 118, 341. 10.1017/s0022112082001116

[25]

Monin, A. S., and Yaglom, A. M. (1975).Statistical Fluid Mechanics, Vol. 2, MIT Press, Cambridge, Massachusetts.

[26]

Orszag, S., and Patera, A. (1981).Phys. Rev. Lett. 47, 832. 10.1103/physrevlett.47.832

[27]

Pao, Y. H. (1965).Phys. Fluids 8, 1063. 10.1063/1.1761356

[28]

Pao, Y. H. (1968).Phys. Fluids 11, 1371. 10.1063/1.1692110

[29]

Reynolds, W. C. (1976).Annu. Rev. Fluid Mech. 8, 183. 10.1146/annurev.fl.08.010176.001151

[30]

Sivashinsky, G., and Yakhot, V. (1985).Phys. Fluids 28, 1040. 10.1063/1.865025

[31]

Smagorinsky, J. (1963).Monthly Weather Rev. 91, 99. 10.1175/1520-0493(1963)091<0099:gcewtp>2.3.co;2

[32]

Tennekes, H., and Lumley, J. L. (1972).A First Course in Turbulence, MIT Press, Cambridge, Massachusetts. 10.7551/mitpress/3014.001.0001

[33]

Renormalization Group and Critical Phenomena. I. Renormalization Group and the Kadanoff Scaling Picture

Kenneth G. Wilson

Physical Review B 1971 10.1103/physrevb.4.3174

[34]

Wilson, K. G., and Kogut, J. (1974).Phys. Rev. 12C, 77.

[35]

Wood, W. W. (1975). In Cohen, E. G. D. (ed.),Fundamental Problems in Statistical Mechanics, North-Holland, Amsterdam.

[36]

Wyld, H. W. (1961).Ann. Phys. 14, 143. 10.1016/0003-4916(61)90056-2

[37]

Wyngaard, J. C., and Tennekes, H. (1970).Phys. Fluids 13, 1962. 10.1063/1.1693192

[38]

Yakhot, V. (1981).Phys. Rev. A 23, 1486. 10.1103/physreva.23.1486

[39]

Yakhot, V., and Sivashinsky, G. (1986).Phys. Rev. A, submitted.

Cited By

3,484

A modified static mixer proposed for efficient blending of hydrogen and methane

Yu Huang, Mengqi Hao · 2026

International Journal of Hydrogen E...

Turbulent Prandtl number analysis of helium-xenon gas flow and heat transfer in the parallel channel

Shunqi Wang, Yu Ji · 2026

International Journal of Advanced N...

Performance assessment and optimization of air curtain for pollutant containment around a semi-open industrial building: A predictive response surface model

Yu Liao, Jianlin Liu · 2026

Building Simulation

Analyzing the effectiveness of turbulence models in predicting flow around tandem piers

Suniti Kumari, H.L. Tiwari · 2025

Ocean Engineering

Analysis and optimization of self-propelled performance of wave-driven vehicle hydrofoil under high sea-level condition

Peihong Xu, Baodi Jing · 2024

Applied Ocean Research

HVAC Design Optimization for Pharmaceutical Facilities with BIM and CFD

Lijun Liu, Yilei Huang · 2024

Buildings

Combustion characteristics of methanol engine applying TJI-HPDI with optimized pre-chamber nozzle structure under different injection and spark strategy

Peng Wang, Wuqiang Long · 2024

Energy

Numerical study on channel-flow convection heat transfer enhancement with piezoelectric fans under various operating conditions

Kiyun Kim, Taiho Yeom · 2023

Applied Thermal Engineering

Numerical Simulation Research on the Anchor Last Deployment of Marine Submersible Buoy System Based on VOF Method

Xiaohan Chen, Bing Liu · 2022

Journal of Marine Science and Engin...

On the CFD modelling of hydrogen dispersion at low-Reynolds number release in closed facility

Stella G. Giannissi, Ilias C. Tolias · 2021

International Journal of Hydrogen E...

Enhancement of channel-flow convection heat transfer using piezoelectric fans

Janak Tiwari, Taiho Yeom · 2021

Applied Thermal Engineering

Effects of height-asymmetric street canyon configurations on outdoor air temperature and air quality

Zhengtong Li, Chih-Yung Wen · 2020

Building and Environment

The influence of aspect ratios and wall heating conditions on flow and passive pollutant exposure in 2D typical street canyons

Jian Hang, Xieyuan Chen · 2020

Building and Environment

Numerical simulation of scour and flow field over movable bed induced by a submerged wall jet

Hamidreza Samma, Amir Khosrojerdi · 2020

Journal of Hydroinformatics

Review of CFD studies on axial-flow self-rectifying turbines for OWC wave energy conversion

Ying Cui, Zhen Liu · 2019

Ocean Engineering

A CFD Investigation of the Effects of Fuel Split Fraction on Advanced Low Temperature Combustion: Comparing a Primary Reference Fuel Blend and Ethanol

Mozhgan Rahimi Boldaji, Aimilios Sofianopoulos · 2018

Frontiers in Mechanical Engineering

Numerical and experimental investigation of splashing oil flow in a hypoid gearbox

Qianlei Peng, Liangjin Gui · 2018

Engineering Applications of Computa...

Research on the CFD numerical simulation of flash boiling atomization

Rongshan Bi, Chen Chen · 2018

Energy

Comprehensive Numerical Investigations of Unsteady Internal Flows and Cavitation Characteristics in Double‐Suction Centrifugal Pump

Xuelin Tang, Mingde Zou · 2017

Mathematical Problems in Engineerin...

Modeling and analysis of fuel injection parameters for combustion and performance of an RCCI engine

M. Nazemi, M. Shahbakhti · 2016

Applied Energy

Metrics

3,484

Citations

39

References

Details

Published: Jan 01, 1986
Vol/Issue: 1(1)
Pages: 3-51
License: View

Authors

Cite This Article

Victor Yakhot, Steven A. Orszag (1986). Renormalization group analysis of turbulence. I. Basic theory. Journal of Scientific Computing, 1(1), 3-51. https://doi.org/10.1007/bf01061452

Renormalization group analysis of turbulence. I. Basic theory

You May Also Like