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Numerical Heat Transfer, Part B: Fundamentals
An International Journal of Computation and Methodology
Volume 70, 2016 - Issue 4
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Original Articles

Totally analytical closure of space filtered Navier–Stokes for arbitrary Reynolds number: Part III. aFNS theory validation

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Pages 297-321 | Received 21 Feb 2016, Accepted 23 Jun 2016, Published online: 06 Oct 2016

References

  • P. Le Quere and M. Benhia, From Onset of Unsteadiness to Chaos in a Differentially Heated Square Cavity, J. Fluid Mech., vol. 359, pp. 81–107, 1998.
  • S. Xin and P. Le Quere, Linear Stability Analysis of Natural Convection Flowfields in a Differentially Heated Square Cavity with Conducting Walls, Phys. Fluids, vol. 13, pp. 2529–2542, 2001.
  • M. A. Christon, P. M. Gresho, and S. B. Sutton, Computational Predictability of Time-dependent Natural Convection Flows in Enclosures (including a benchmark solution), J. Numer. Methods Fluids, vol. 40, pp. 953–980, 2002.
  • B. Gebhart, Y. Jaluria, R. L. Mahajan, and B. Sammakia, Buoyancy-Induced Flow and Transport, Hemisphere, New York, 1988.
  • A. J. Baker, Optimal Modified Continuous Galerkin CFD, John Wiley and Sons, London, 2014.
  • S. Xin and P. Le Quere, An Extended Chebyshev Pseudo-spectral Benchmark for the 8: 1 Differentially Heated Cavity, J. Numer. Methods Fluids, vol. 40, pp. 981–998.
  • M. A. Grubert, Development of a Potentially Accurate and Efficient LES CFD Algorithm to Predict Heat and Mass Transport in Inhabited Spaces, PhD dissertation, University of Tennessee, 2006.
  • M. A. Sekachev, Essentially Analytical Theory Closure for Thermal-incompressible Space Filtered Navier-Stokes PDE System, PhD dissertation, University of Tennessee, 2013.
  • S. B. Pope, Turbulent Flows, Cambridge University Press, New York, 2000.

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