Performance of hemisphere algorithm for fast form factor calculation

Noboru Yamada, Tomoaki Shinoda, Hiroyuki Takizawa

Research output: Contribution to journalArticlepeer-review


A fast and accurate algorithm is required for carrying out radiative heat transfer simulations designing thermally efficient devices. This paper describes the performance of the hemisphere algorithm, which was originally developed for fast form factor calculation for obtaining photorealistic three-dimensional computer graphics. We compare the performance of the hemisphere algorithm with that of two conventional algorithms that are widely used for radiative heat transfer simulations. The hemisphere algorithm is found to be significantly faster than the other algorithms, but it has an absolute error of 1.0 × 10-5. In addition, the result indicates that the hemisphere algorithm is suitable for simulating the trial and error process in the practical analysis of large-scale models due to its tolerable visualization of form factor distribution.

Original languageEnglish
Pages (from-to)450-463
Number of pages14
JournalHeat Transfer - Asian Research
Issue number7
Publication statusPublished - 2009 Nov


  • Computational method
  • Configuration factor
  • Form factor
  • Heat transfer
  • Heat transfer design
  • Thermal radiation
  • View factor


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