Advanced search
Publication Cover
Numerical Heat Transfer, Part B: Fundamentals
An International Journal of Computation and Methodology
Volume 70, 2016 - Issue 4
Submit an article Journal homepage
126
Views
1
CrossRef citations to date
0
Altmetric
Original Articles

Projection- and characteristic-based operator-splitting simulation of mixed convection flow coupling heat transfer and fluid flow in a lid-driven square cavity

Liqin JinKey Laboratory for Advanced Materials Processing Technology, Ministry of Education, School of Materials Science and Engineering, Tsinghua University, Beijing, China
&
Houfa ShenKey Laboratory for Advanced Materials Processing Technology, Ministry of Education, School of Materials Science and Engineering, Tsinghua University, Beijing, ChinaCorrespondence[email protected]
Pages 354-371 | Received 17 Feb 2016, Published online: 06 Oct 2016

References

  • J. J. Wang, M. W. Lu, and X. Zhang, Research Progress in Petrov–Galerkin Finite Element Methods for Fluids Mechanics, Chinese J. Theor. Appl. Mech., vol. 15, pp. 119–126, 1998.
  • A. N. Brooks and T. J. R. Hughes, Streamline Upwind/Petrov–Galerkin Formulations for Convection Dominated Flows with Particular Emphasis on the Incompressible Navier–Stokes Equations, Comput. Meth. Appl. Mech. Eng., vol. 32, pp. 199–259, 1982.
  • J. A. Donea, A Taylor–Garlerkin Method for Convective Transport Problems, Int. J. Numer. Meth. Eng., vol. 20, pp. 101–119, 1984.
  • K. W. Morton, Generalized Galerkin Methods for Hyperbolic Problems, Comput. Meth. Appl. Mech. Eng., vol. 52, pp. 847–871, 1985.
  • O. C. Zienkiewicz and R. A. Codina, A General Algorithm for Compressible and Incompressible Flow. Part I. The Split Characteristic Based Scheme, Int. J. Numer. Meth. Fluids, vol. 20, pp. 869–885, 1995.
  • O. C. Zienkiewicz, R. L. Taylor, and P. Nithiarasu, The Finite Element Method for Fluid Dynamics, 6th ed., pp. 91, 97–98, Elsevier Pte Ltd, Singapore, 2009.
  • N. N. Yanenko, The Method of Fractional Steps: The Solution of Problems of Mathematical Physics in Several Variables, pp. 17–33, Springer-Verlag, Berlin, 1971.
  • D. G. Wang, H. J. Wang, and J. H. Xiong, Characteristic-based Operator-Splitting Finite Element Method for Navier–Stokes Equations, Science China, vol. 54, pp. 2157–2166, 2011.
  • D. L. Brown, R. Cortez, and M. L. Minion, Accurate Projection Methods for the Incompressible Navier–Stokes Equations, J. Comput. Phys., vol. 168, pp. 464–499, 2001.
  • Q. X. Shui and D. G. Wang, Numerical Simulation for Navier–Strokes Equations by Projection/Characteristic-based Operator-Splitting Finite Element Method, Chinese J. Theor. Appl. Mech., vol. 46, pp. 369–381, 2014.
  • T. S. Cheng and W. H. Liu, Effect of Temperature Gradient Orientation on the Characteristics of Mixed Convection Flow in a Lid-driven Square Cavity, Comput. Fluids, vol. 29, pp. 965–978, 2010.
  • S. Bettaibi, F. Kuznik, and E. Sediki, Hybrid Lattice Boltzmann Finite Difference Simulation of Mixed Convection Flows in a Lid-driven Square Cavity, Phys. Lett. A, vol. 378, pp. 2429–2435, 2014.
  • H. J. Wang, Characteristics-based Operator-Splitting Finite Element Method for Navier–Stokes Equations. Master thesis, Dalian University, Dalian, China, 2011.
  • O. C. Zienkiewicz, R. L. Taylor, and J. Z. Zhu, The Finite Element Method: Its Basis and Fundamentals, 7th ed., pp. 47–92, Butterworth-Heinemann, UK, 2013.
  • W. Hundsdorfer, A. Mozartova, and M. N. Spijker, Stepsize Restrictions for Boundedness and Monotonicity of Multistep Methods, J. Sci. Comput., vol. 50, pp. 265–286, 2012.
  • U. Ghia, K. N. Ghia, and C. T. Shin, High-Re Solutions for Incompressible Flow Using the Navier–Stokes Equations and a Multigrid Method, J. Comput. Phys., vol. 48, pp. 387–411, 1982.
  • Y. K. Wei, Numerical Studies on Vapor-liquid Multiphase and Thermal Convection Using Lattice Boltzmann Method, Ph.D. thesis, Shanghai University, Shanghai, China, 2012.
  • N. C. Markatos and K. A. Pericleous, Laminar and Turbulent Natural-Convection in an Enclosed Cavity, Int. J. Heat Mass Transfer, vol. 27, pp. 755–772, 1984.
  • M. K. Moallemi and K. S. Jang, Prandtl Number Effects on Laminar Mixes Convection Heat-transfer in a Lid-driven Cavity, Int. J. Heat Mass Transfer, vol. 35, pp. 1881–1892, 1992.

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:

Order Reprints Request Corporate Permissions

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:

Request Academic Permissions

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.

Related research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.