A Boundary Element Method Formulation for Design Sensitivities in Steady-State Conduction-Convection Problems

[+] Author and Article Information
Abhijit Chandra, Cho Lik Chan

Department of Aerospace and Mechanical Engineering, The University of Arizona, Tucson, AZ 85721

J. Appl. Mech 59(1), 182-190 (Mar 01, 1992) (9 pages) doi:10.1115/1.2899426 History: Received December 18, 1989; Revised November 23, 1990; Online March 31, 2008


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.

Copyright © 1992 by The American Society of Mechanical Engineers
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