Total pressure losses minimization in turbomachinery cascades using the exact Hessian

DOI10.1016/j.cma.2010.05.014zbMath1231.76247OpenAlexW2129105271MaRDI QIDQ658890

T. Zervogiannis, Dimitrios I. Papadimitriou, Kyriakos C. Giannakoglou

Publication date: 8 February 2012

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cma.2010.05.014

zbMATH Keywords

shape optimizationHessian matrixturbomachinerydiscrete adjointtotal pressure losses minimization

Mathematics Subject Classification ID

Finite volume methods applied to problems in fluid mechanics (76M12) Flow control and optimization for compressible fluids and gas dynamics (76N25)

Related Items

Aerodynamic design using the truncated Newton algorithm and the continuous adjoint approach ⋮ Bayesian uncertainty quantification of turbulence models based on high-order adjoint ⋮ The continuous adjoint method for the design of hydraulic turbomachines ⋮ The effect of shocks on second order sensitivities for the quasi-one-dimensional Euler equations

Uses Software

• TAPENADE
• Spalart-Allmaras

Cites Work

• Computation of the Hessian matrix in aerodynamic inverse design using continuous adjoint formulations
• The continuous direct-adjoint approach for second-order sensitivities in viscous aerodynamic inverse design problems
• Acceleration of a Navier--Stokes equation solver for unstructured grids using agglomeration multigrid and parallel processing
• First- and second-order aerodynamic sensitivity derivatives via automatic differentiation with incremental iterative methods
• Aerodynamic shape optimization using first and second order adjoint and direct approaches
• Analytic Hessian derivation for the quasi-one-dimensional Euler equations
• A globally convergent BFGS method with nonmonotone line search for non-convex minimization
• Approximate Riemann solvers, parameter vectors, and difference schemes. (Reprint)
• The BFGS method with exact line searches fails for non-convex objective functions
• Analysis of the Hessian for aerodynamic optimization: Inviscid flow
• On the Global Convergence of the BFGS Method for Nonconvex Unconstrained Optimization Problems
• Second-order sensitivity derivatives in structural analysis
• Direct, adjoint and mixed approaches for the computation of Hessian in airfoil design problems
• Numerical Optimization
• Numerical methods for second‐order shape sensitivity analysis with applications to heat conduction problems
• A Preconditioning Method for Shape Optimization Governed by the Euler Equations

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