Publication Cover
Numerical Heat Transfer, Part B: Fundamentals
An International Journal of Computation and Methodology
Volume 68, 2015 - Issue 6
117
Views
3
CrossRef citations to date
0
Altmetric
Original Articles

Modification of k-ε Turbulent Model Using Kinetic Energy–Preserving Method

, &
Pages 554-577 | Received 25 Feb 2015, Accepted 19 May 2015, Published online: 01 Oct 2015

REFERENCES

  • A. Jameson, W. Schmidt, and E. Turkel, Numerical Solutions of the Euler Equations by Finite Volume Methods Using Runge-Kutta Time-Stepping Schemes, AIAA J., pp. 81–1259, 1981.
  • R. Swanson and E. Turkel, Artificial and Central Difference Schemes for the Euler and Navier Stokes Equations, AIAA 8th Computations Fluid Dynamics Conference, New York, pp. 55–69, 1986.
  • A. Jameson and Y. Allaneu, Kinetic Energy Conservation Discontinuous Galerkin Scheme, 49th Aerospace Sciences Meeting by the AIAA, Florida, January 4–7, 2011.
  • A. Jameson, Formulation of Kinetic Energy Preserving Conservative Schemes for Gas Dynamics and Direct Numerical Simulation of One-Dimensional Viscous Compressible Flow in a Shock Tube Using Entropy and Kinetic Energy Preserving Schemes, AIAA J., pp. 188–208, 2008.
  • A. Javadi and M. Pasandideh-Fard, Analysis of One and Two Dimensional Inviscid and Two Dimensional Viscous Flows Using Kinetic Energy Preserving Method, Iran. J. Mech. Eng., Trans. ISME, vol. 14, pp. 93–116, 2013.
  • W. Li, B. Yu, X. Wang, P. Wang, and W. Tao, Study on the Second-Order Additional Source Term Method for Handling Boundary Conditions, Numer. Heat Transfer B, vol. 63, pp. 44–61, 2013.
  • A. Jameson, Energy Estimates for Nonlinear Conservation Law with Applications to Solutions of the Burgurs Equation and One-Dimensional Viscous Flow in a Shock Tube by Central Difference Schemes, 18th Computational Fluid Dynamics Conference by the AIAA, Miami, June 28, 2007.
  • A. Jameson and Y. Allaneu, Direct Numerical Simulations of a Two Dimensional Viscous Flow in a Shock Tube Using a Kinetic Energy Preserving Schemes, 19th Computational Fluid Dynamics Conference by the AIAA, Texas, June 22–25, 2009.
  • A. Jameson and Y. Allaneu, Direct Numerical Simulations of Plunging Airfoils, 48th Aerospace Sciences Meeting by the AIAA, Florida, January, pp. 3–4, 2010.
  • O. Lehmkuhl, A. Vidal, D. Perez-Segarra, and A. Oliva, A Filtered Kinetic Energy Preserving Finite Volumes Scheme for Compressible Flows, BME Department of Fluid Mechanics, Conference on Modeling Fluid Flow (CMFF’12), 2012.
  • F. X. Trias, O. Lehmkuhl, A. Oliva, and C. D. Perez-Segarta, Symmetry-Preserving Discretization of Navier-Stokes Equations on Collocated Unstructured Grids, J. Comput. Phys., vol. 258, pp. 246–267, 2014.
  • A. Baez Vidal, J. B. Pedro, O. Lehmkuhl, I. Rodriguez, and C. D. Perez-Segarta, Comparing Kinetic Energy Preserving and Godunov Schemes on the Flow around a NACA 0012, 6th European Conference on Computational Fluid Dynamics, 2014.
  • R. Herbin and J. C. Latche, A Kinetic Energy Preserving Convection Operator for the MAC Discretization of Compressible Navier-Stokes Equation, Math. Model. Numer. Anal., hal-00477079, version 1, 2010.
  • A. Edoh and A. Karagozian, Kinetic Energy-Preserving Discretization Schemes for High Reynolds Number Propulsive Application, 66th Annual Meeting of the APS Division of Fluid Dynamics, vol. 58, no. 18, 2013.
  • P. Chandrashekar, Kinetic Energy Preserving and Entropy Stable Finite Volume Schemes for Compressible Euler and Navier-Stokes Equations, Cite as: arXiv:1209.4994 [cs.NA], 2012.
  • D. Ray and P. Chandrashekar, Entropy Stable Schemes for Compressible Euler Equations, Int. J. Numer. Anal. Model., vol. 4, pp. 335–352, 2013.
  • J. C. Kok, A Symmetry and Dispersion-Relation Preserving High-Order Scheme for Aero Acoustics and Aerodynamics, European Conference on Computational Fluid Dynamics, 2006.
  • B. Yan and S. Jin, A Successive Penalty-Based Asymptotic-Preserving Scheme for Kinetic Equation, SIAM J. Sci. Comput., vol. 35, no.1, 2013.
  • M. Germano, U. Piomelli, P. Moin, and W. H. Cabot, A Dynamic Sub Grid-Scale Eddy Viscosity Model, Phys. Fluids, vol. A3, pp. 1760–1765, 1991.
  • D. Vanden-Abeele, D. Snyder, Y. Detundt, and G. Degrez, A Kinetic Energy–Preserving P1 Iso P2/P1 Finite-Element Method for Computing Unsteady Incompressible Flows, Comput. Fluid Dynam., pp. 267–272, 2009.
  • S. V. Patankar and V. Suhas, Numerical Heat Transfer and Fluid Flow, Hemisphere, Washington, DC, 1980.
  • Y. Maoa and Y. Zhanga, Evaluation of Turbulent Models for Natural Convection of Compressible Air in a Tall Cavity, Numer. Heat Transfer B, vol. 64, pp. 351–364, 2013.
  • E. Pulat, M. K. Isman, A. B. Etemoglu, and M. Can, Effect of Turbulence Models and Near-Wall Modeling Approaches on Numerical Results in Impingement Heat Transfer, Numer. Heat Transfer B, vol. 60, pp. 486–519, 2011.
  • S. K. Choi, E. K. Kim, and S. O. Kim, Computation of Turbulent Natural Convection in a Rectangular Cavity with the k–ϵ– v2–f Model, Numer. Heat Transfer B, vol. 48, pp. 159–179, 2004.
  • A. Jameson, The Construction of Discretely Conservative Finite Volume Schemes That Also Globally Conserve Energy or Entropy, Report ACL, pp. 152–187, 2008.
  • C. D. Harris, Two-Dimensional Aerodynamic Characteristics of the NACA 0012 Airfoil in the Longley 8-Foot Transonic Pressure Tunnel, NASA TM-81927, 1981.
  • C. M. Maksymiuk and T. H. Pullian, Viscous Transonic Airfoil Workshop Results Using ARC2D, 25th Aerospace Sciences Meeting by the AIAA, Nevada, January 1987.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.