A three-dimensional optimal control problem in determining the boundary control heat fluxes

Cheng Hung Huang, Chun Yu Li

Research output: Contribution to journalArticlepeer-review

8 Citations (Scopus)

Abstract

A three-dimensional optimal control algorithm in determining the strength of the unknown optimal boundary control heat fluxes utilizing the Conjugate Gradient Method (CGM) and a general purpose commercial code CFX4.2 is applied successfully in the present study based on the desired domain temperature distributions at the final time of heating. Results obtained by using the conjugate gradient method to solve this three-dimensional optimal control problems are justified based on the numerical experiments. Two different computational domains and two different desired temperature distributions are given and the corresponding optimal control heat fluxes are to be determined. Results show that the optimal control heat fluxes can always be obtained with any arbitrary initial guesses of the boundary fluxes.

Original languageEnglish
Pages (from-to)589-598
Number of pages10
JournalHeat and Mass Transfer/Waerme- und Stoffuebertragung
Volume39
Issue number7
DOIs
Publication statusPublished - 2003 Jul 1

All Science Journal Classification (ASJC) codes

  • Condensed Matter Physics
  • Fluid Flow and Transfer Processes

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