scholarly journals Evaluation Complexity Bounds for Smooth Constrained Nonlinear Optimization Using Scaled KKT Conditions and High-Order Models

2019 ◽  
pp. 5-26 ◽  
Author(s):  
Coralia Cartis ◽  
Nicholas I. M. Gould ◽  
Philippe L. Toint
Keyword(s):  
Nonlinear Optimization ◽  
High Order ◽  
Kkt Conditions ◽  
Complexity Bounds ◽  
Constrained Nonlinear Optimization ◽  
Evaluation Complexity

Evaluation Complexity for Nonlinear Constrained Optimization Using Unscaled KKT Conditions and High-Order Models

2016 ◽  
Vol 26 (2) ◽  
pp. 951-967 ◽  
Author(s):  
E. G. Birgin ◽  
J. L. Gardenghi ◽  
J. M. Martínez ◽  
S. A. Santos ◽  
Ph. L. Toint
Keyword(s):  
Constrained Optimization ◽  
High Order ◽  
Kkt Conditions ◽  
Nonlinear Constrained Optimization ◽  
Evaluation Complexity

Worst-case evaluation complexity for unconstrained nonlinear optimization using high-order regularized models

2016 ◽  
Vol 163 (1-2) ◽  
pp. 359-368 ◽  
Author(s):  
E. G. Birgin ◽  
J. L. Gardenghi ◽  
J. M. Martínez ◽  
S. A. Santos ◽  
Ph. L. Toint
Keyword(s):  
Nonlinear Optimization ◽  
High Order ◽  
Worst Case ◽  
Case Evaluation ◽  
Unconstrained Nonlinear Optimization ◽  
Evaluation Complexity

Prediction of Performance and Design via Optimization of Ducted Propellers Subject to Non-axisymmetric Inflows

2005 ◽  
Author(s):  
Spyros A. Kinnas ◽  
Hanseong Lee ◽  
Hua Gu ◽  
Yumin Deng
Keyword(s):  
Nonlinear Optimization ◽  
Pressure Coefficient ◽  
Optimization Method ◽  
Least Square ◽  
Maximum Efficiency ◽  
Design Parameters ◽  
Blade Design ◽  
Constrained Nonlinear Optimization ◽  
Nonlinear Optimization Method ◽  
Ducted Propellers

Recently developed methods at UT Austin for the analysis of open or ducted propellers are presented, and then coupled with a constrained nonlinear optimization method to design blades of open or ducted propellers for maximum efficiency satisfying the minimum pressure constraint for fully wetted case, or the specified maximum allowable cavity area for cavitating case. A vortex lattice method (named MPUF3A) is applied to analyze the unsteady cavitating performance of open or ducted propellers subject to non-axisymmetric inflows. A finite volume method based Euler solver (named GBFLOW) is applied to predict the flow field around the open or ducted propellers, coupled with MPUF-3A in order to determine the interaction of the propeller with the inflow (i.e. the effective wake) or with the duct. The blade design of open or ducted propeller is performed by using a constrained nonlinear optimization method (named CAVOPT-BASE), which uses a database of computed performance for a set of blade geometries constructed from a base-propeller. The performance is evaluated using MPUF-3A and GBFLOW. CAVOPT-BASE approximates the database using the least square method or the linear interpolation method, and generates the coefficients of polynomials based on the design parameters, such as pitch, chord, and camber. CAVOPT-BASE finally determines the optimum blade design parameters, so that the propeller produces the desired thrust for the given constraints on the pressure coefficient or the allowed amount of cavitation.

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