Convection-Diffusion Phenomena and a Navier-Stokes Processor

  • C. J. Hoogendoorn
  • Th. H. van der Meer
Part of the Notes on Numerical Fluid Mechanics book series (volume 17)


For heat and mass transport in complex flow situations computational methods are very important. Many technological processes can be simulated by a set of convection-diffusion equations. These equations can numerically be solved using a single algorithm based on the finite domain or control volume method. For turbulent transport a k-ɛ model is often used. This requires that in some cases an experimental validation for a completely new flow situation has to be done.

For two examples the application will be shown. The natural convection in a square cavity both for laminar and turbulent cases will be discussed. For flows and heat transfer in living spaces good predictions including radiative exchange can be given. The second example is the simulation model “Furnace”. The flow, combustion and heat transfer in a glass furnace can be predicted. A full 3-dimensional model has been developed. For fine grids, and for time dependent or 3-D situations the computational effort is large. The elliptic flows and the coupling of a large set of partial differential equations give a slow convergence. CPU time on a main-frame computer may run in many hours. This has led us to the development of a processor to directly solve the convection-diffusion algorithm for the finite control volume method as well as the transport equations. This will be applied in a special purpose dedicated Navier-Stokes computer with the capabilities of a super-computer for this special algorithm. It can be expected that this tool will enhance the application of numerical transport phenomena studies strongly.


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Copyright information

© Friedr. Vieweg & Sohn Verlagsgesellschaft mbH, Braunschweig 1987

Authors and Affiliations

  • C. J. Hoogendoorn
    • 1
  • Th. H. van der Meer
    • 1
  1. 1.Dept. of Applied PhysicsTechnical University DelftDelftThe Netherlands

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