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In Computational Fluid Dynamics and Aeroacoustics

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DNS of differentially heated cavity of aspect ratio 4, Ra=1011



- Mesh size: 111 millions of nodes (128x680x1280)
- 4-th order discretization
- 512 CPU of MareNostrum supercomputer of BSC
- Computing time around a million of CPU hours
- Performed by F. X. Trias and A. V. Gorobets at CTTC UPC.
- CFD code SCH3D.
  • Rayleigh number up to 1011
  • Prandtl number 0.71 (air)
  • Boundary conditions: Adiabatic horizontal walls (Z axis), Isothermal vertical wall (Y axis) Periodic (X axis)
  • Non compressible newtonian fluid
  • Boussinesq approximation for density variations

DNS results should be found at CTTC UPC web site.


Illustrative results for the highest Ra number

Evolution in time of the temperature field to a statistically stationary state


Some first order statistics: temperature field and Nusselt number distribution



Some turbulent statistics




Comparison of the results for the sequence of Ra numbers

Zebra temperature snapshots



Turbulent kinetic energy



Local Nusselt number distribution




Publications:
  • F. X. Trias, A. Gorobets, M. Soria, A. Oliva, ”Direct numerical simulation of a differentially heated cavity of aspect ratio 4 with Ra-number up to 1011 - Part I: Numerical methods and time-averaged flow”, International Journal of Heat and Mass Transfer, 53 (2010), 665-673
  • F. X. Trias, A. Gorobets, M. Soria, A. Oliva, ”Direct numerical simulation of a differentially heated cavity of aspect ratio 4 with Ra-number up to 1011 - Part II: Heat transfer and flow dynamics”, International Journal of Heat and Mass Transfer, 53 (2010), 674-683
  • F. X. Trias and M. Soria and A. Gorobets and A. Oliva, "DNS of an air-filled differentially heated cavity of aspect ratio 4 at Ra-numbers 6.4*108, 2*109, 1010, 3*1010 and 1011", 5th European Congress on Computational Methods in Applied Sciences and Engineering (ECCOMAS 2008), Venice, Italy, July 2008
  • F.X.Trias and R. W. C. P. Verstappen and M. Soria and A. Gorobets and A. Oliva, "Regularization modelling of a turbulent differentially heated cavity at Ra=1011", 5th European Thermal-Sciences Conference, EUROTHERM 2008, Eindhoven, The Netherlands, May 2008
  • F. X. Trias, A.V. Gorobets, M. Soria and A. Oliva, “DNS of natural convection flows on MareNostrum supercomputer”, Parallel CFD 2007, Antalya (Turkey), May 2007
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