Multigrid Solution of Three-Dimensional Radiative Heat Transfer in Glass Manufacturing

  • M. Seaïd
  • A. Klar
Part of the Mathematics in Industry book series (MATHINDUSTRY, volume 8)


We implement a multigrid algorithm to solve the radiative heat transfer equations in glass production. The time, angle and space coordinates are discretized using Crank-Nicolson, discrete-ordinate and Galerkin methods, respectively. Based on the same mesh hierarchy for both heat conduction and radiative transfer, our multigrid algorithm consists on using the Newton-Gmres and Atkinson-Brakhage solvers as smoothers on the coarse meshes.


Radiative Transfer Coarse Mesh Radiative Heat Transfer Multigrid Method Radiative Transfer Equation 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2006

Authors and Affiliations

  • M. Seaïd
    • 1
  • A. Klar
    • 1
  1. 1.Fachbereich MathematikTU DarmstadtDarmstadtGermany

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