Geometric Optimization Of Radiative Enclosures Through Nonlinear Programming

K. J. Daun, J. R. Howell*, D. P. Morton

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

40 Scopus citations


This article introduces a methodology for designing the geometry of diffuse-walled radiant enclosures through nonlinear programming. In this application, the enclosure is represented parametrically using B-spline curves, while the radiosity distribution is solved by infinitesimal-area analysis. The enclosure geometry is repeatedly adjusted with a gradient-based minimization algorithm until a near-optimum solution is found. This approach requires far less design time than the forward "trial-and-error" methodology, and the quality of the final solution is usually much better. The methodology is demonstrated by optimizing the geometry of a 2-D radiant enclosure, with the objective of obtaining a desired radiosity distribution over a portion of the enclosure surface.

Original languageEnglish (US)
Pages (from-to)203-219
Number of pages17
JournalNumerical Heat Transfer, Part B: Fundamentals
Issue number3
StatePublished - Mar 2003

ASJC Scopus subject areas

  • Numerical Analysis
  • Modeling and Simulation
  • Condensed Matter Physics
  • Mechanics of Materials
  • Computer Science Applications


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