2026-09-19T11:47:36Z https://www.ideals.illinois.edu/oai-pmh

oai:www.ideals.illinois.edu:2142/19700 2023-07-10 col_2142_5131 col_2142_14787 com_2142_5130 com_2142_9630 com_2142_234

Tortorelli, Daniel A. Wang, Zi-Xian 2011-05-07T12:15:43Z 2011-05-07T12:15:43Z 10000-01-01 1995 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. Made available in DSpace on 2011-05-07T12:15:43Z (GMT). No. of bitstreams: 2 license.txt: 4922 bytes, checksum: 910b249b4beec47e7ab768910c8f966f (MD5) 9543764.pdf: 4312946 bytes, checksum: 358e656cc2aaeb37129ba46968895ffb (MD5) Previous issue date: 1995 Item marked as restricted to the 'UIUC Users [automated]' Group (id=2) by Howard Ding (hding2@illinois.edu) on 2011-05-07T14:38:50Z Item is restricted indefinitely. Restriction data tranferred 2014-07-01T11:16:15-05:00 Original Data Group with Access UIUC Users [automated] Release Date: none Reason: ETDs are only available to UIUC Users without author permission ETDs are only available to UIUC Users without author permission U of I Only AAI9543764 (UMI)AAI9543764 http://hdl.handle.net/2142/19700 eng Copyright 1995 Wang, Zi-Xian Applied Mechanics Engineering, Mechanical Computer-aided optimal design for laminar and turbulent fluid-thermal systems text Mechanical Science and Engineering Mechanical Science University of Illinois at Urbana-Champaign Dissertation Ph.D.