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SENSITIVITY ANALYSIS AND OPTIMIZATION OF COUPLED THERMAL AND FLOW PROBLEMS WITH APPLICATIONS TO CONTRACTION DESIGN
Author(s) -
WANG ZIXIAN,
TORTORELLI DANIEL A.,
DANTZIG JONATHAN A.
Publication year - 1996
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/(sici)1097-0363(19961130)23:10<991::aid-fld422>3.0.co;2-7
Subject(s) - laminar flow , turbulence , finite element method , sensitivity (control systems) , mathematics , pressure drop , contraction (grammar) , mathematical optimization , mechanics , flow (mathematics) , physics , engineering , thermodynamics , medicine , electronic engineering
The finite element method and the Newton–Raphson solution algorithm are combined to solve the momentum, mass and energy conservation equations for coupled flow problems. Design sensitivities for a generalised response function with respect to design parameters which describe shape, material property and load data are evaluated via the direct differentiation method. The efficiently computed sensitivities are verified by comparison with computationally intensive, finite difference sensitivity approximations. The design sensitivities are then used in a numerical optimization algorithm to minimize the pressure drop in flow through contractions. Both laminar and turbulent flows are considered. In the turbulent flow problems the time‐averaged momentum and mass conservati on equations are solved using a mixing length turbulence model.