Optimal insulation problems

  • Bendsøe, Martin P. (Project Participant)
  • Munoz, Eduardo (Project Participant)
  • Allaire, Gregoire (Project Participant)

    Project Details


    Two formulations for the design of the optimal insulation of a domain
    have been investigated by computational means. One method is
    in the format of a topology design problem of distributing insulating material
    in a domain surrounding a non-design domain that is heated by a given heat-source;
    this problem is treated in both a relaxed format as well as a penalized material format.
    The other approach deals with the optimal distribution of a thin layer of insulation on the
    boundary of the non-design domain; this problem is more in the realm of shape design,
    or rather, it is similar to optimal design of support conditions for structures.
    In both cases mathematical programming is used, but for the shape design case
    it is applied to the non-linear analysis problems that arise when the optimal design is
    explicitly solved for. The computational results illustrate the similarities
    and differences that result from the two approaches.
    Effective start/end date01/04/200501/01/2006


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