A boundary element method formulation for design sensitivities in steady-state conduction-convection problems

Abhijit Chandra, Cho Lik Chan

Research output: Contribution to journalArticle

10 Scopus citations

Abstract

A Boundary Element Method (BEM) formulation for the determination of design sensitivities of temperature distributions to various shape and process parameters in steady-state convection-diffusion problems is presented in this paper. The present formulation is valid for constant or piecewise-constant convective velocities. This approach is based on direct differentiation (DDA) of the relevant BEM formulation of the problem. It retains the advantages of the BEM regarding accuracy and efficiency while avoiding strongly singular kernels. The BEM formulation is also observed to avoid any false diffusion. This approach provides a new avenue toward efficient optimization of steady-state convection-diffusion problems and may be easily adapted to investigate the thermal aspects of various machining processes.

Original languageEnglish (US)
Pages (from-to)182-190
Number of pages9
JournalJournal of Applied Mechanics, Transactions ASME
Volume59
Issue number1
DOIs
StatePublished - Mar 1992

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering

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