Computer-aided optimal design for laminar and turbulent fluid-thermal systems
Wang, Zi-Xian
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https://hdl.handle.net/2142/19700
Description
Title
Computer-aided optimal design for laminar and turbulent fluid-thermal systems
Author(s)
Wang, Zi-Xian
Issue Date
1995
Doctoral Committee Chair(s)
Tortorelli, Daniel A.
Department of Study
Mechanical Science and Engineering
Discipline
Mechanical Science
Degree Granting Institution
University of Illinois at Urbana-Champaign
Degree Name
Ph.D.
Degree Level
Dissertation
Keyword(s)
Applied Mechanics
Engineering, Mechanical
Language
eng
Abstract
The finite-element method and the Newton-Raphson method are combined to investigate the momentum-, mass-, and energy-conservation equations for strongly coupled flow problems. Then the design sensitivities of the system response are computed and used in a numerical optimization algorithm to minimize pressure drop in flow through contractions. Both laminar and turbulent flows are considered. In the turbulent flow problems, the time-averaged momentum- and mass-conservation equations are solved using a mixing-length turbulence model.
Design sensitivities for a generalized response function with respect to design parameters which describe shape, material property, and load data are evaluated via the direct-differentiation method. All quantities are computed with the finite-element method. The efficiently computed sensitivities are verified by comparison with computationally intensive finite-difference sensitivity approximations.
A fully detailed development of the domain-parameterization method is presented for shape design-sensitivity analysis. The method is illustrated for the Laplace problem in which explicit shape sensitivities are derived by the adjoint and direct-differentiation methods. Both finite-element and boundary-element applications are discussed. The similarities between this approach and the isoparametric finite/boundary-element method are apparent.
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