Analysis of a turbulence model related to that of k-epsilon for stationary and compressible flows

Keywords

Turbulence, Compressibility, Statistical physics, Physics, K-epsilon turbulence model

References

• Contribution au développement des outils de simulation numérique de la combustion supersoniqueDmitry Davidenko — 2005
• Second Order Elliptic Equations and Elliptic SystemsChen Ya-zhe, Lan-Cheng Wu — 1998
• Analyse fonctionnelle : théorie et applicationsHaı̈m Brezis — 1983
• Mathematical topics in fluid mechanicsPierre Louis Lions — 1996
• Turbulence modeling for CFDDavid C. Wilcox — 1993
• Measure theory and fine properties of functionsLawrence C. Evans, Ronald F. Garzepy — 1992
• Analysis of the K-epsilon turbulence modelBijan Mohammadi, Olivier Pironneau — 1994
• Elliptic Partial Differential Equa-tions of Second OrderDavid Gilbarg, Neil S. Trudinger — 1977
• POSITIVITY OF k-EPSILON TURBULENCE MODELS FOR INCOMPRESSIBLE FLOWZi‐Niu Wu, Song Fu — 2002
• Results for a turbulent system with unbounded viscosities : Weak formulations, existence of solutions, boundedness and smoothnessPierre Dreyfuss — 2007
• Linear and quasilinear elliptic equationsO. A. Ladyzhenskai︠a︡, N. N. Uraltseva — 1968
• MATHEMATICAL AND NUMERICAL ANALYSIS OF AN ALTERNATIVE WELL-POSED TWO-LAYER TURBULENCE MODELBijan Mohammadi, Guillaume Puigt — 2001
• EXISTENCE AND POSITIVITY RESULTS FOR THE φ−θ AND A MODIFIED k−ε TWO-EQUATIONTURBULENCE MODELSRoger Lewandowski, Bijan Mohammadi — 1993
• Existence and positivity of a system k- with a production term of the Rayleigh-Taylor typeOlivier Lafitte — 2002
• Positive solutions of nonlinear elliptic equations involving critical sobolev exponentsHaïm Brézis, Louis Nirenberg — 1983
• Coupling the Stokes and Navier–Stokes equations with two scalar nonlinear parabolic equationsMacarena Gómez Mármol, Francisco Ortegón Gallego — 1999
• Dissipation of energy in the locally isotropic turbulenceАндрей Николаевич Колмогоров — 1941
• Quasilinear elliptic systems in divergence form with weak monotonicity and nonlinear physical dataFabien Augsburger, Norbert Hungerbühler — 2004
• Critical exponents for semilinear equations of mixed elliptic‐hyperbolic and degenerate typesDaniela Lupo, Kevin R. Payne — 2003
• Higher Integrability of the Gradient in Degenerate Elliptic EquationsPierre Dreyfuss — 2007

Cited by

No citing papers recorded for this paper.

Related papers

• Fundamentals of turbulence modelingChing Jen Chen, Shenq‐Yuh Jaw — 1998
• Application of the Turbulence Model to Environmental Hydraulics problemZulin Hua — 2001
• Comparative analysis of turbulence modelsE. P. Sukhovich — 2000
• Modeling of turbulence and transitionTsan-Hsing Shih — 1992
• Present status and future approach of turbulence modeling.Ching Jen Chen, Shenq‐Yuh Jaw — 1990
• A Comparative Study of 2-Dimensional Turbulence Models for Thermal DischargeHung-Sik Choi — 1999
• Effects of near-wall turbulence model on numerical simulation of turbulent separated flowsZe Wang — 2002
• Evaluation of the Anisotropic k - ε Turbulence Model by the Numerical Analysis of Axisymmetric Swirling Turbulent FlowYeon-Won Lee — 1996
• Discussion on the Limitation of Statistical Model of TurbulenceWei Qi — 2003