Analysis of the Hessian for aerodynamic optimization: Inviscid flow

DOI10.1016/S0045-7930(98)00060-7zbMath0969.76015OpenAlexW2338765079MaRDI QIDQ1975634

Shlomo Ta'asan, Eyal Arian

Publication date: 1 October 2001

Published in: Computers and Fluids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0045-7930(98)00060-7

zbMATH Keywords

regularizationEuler equationspreconditionersthree-dimensional problemtwo-dimensional problemHessiansgradient-based methodsfull potential equationeigenvalue distributionsinviscid aerodynamic shape optimizationpressure-dependent cost functionssmall-disturbance potential equation

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Flow control and optimization for incompressible inviscid fluids (76B75)

Related Items (15)

Learning physics-based models from data: perspectives from inverse problems and model reduction ⋮ Aerodynamic design using the truncated Newton algorithm and the continuous adjoint approach ⋮ Aerodynamic shape optimization using first and second order adjoint and direct approaches ⋮ Approximate Hessian for accelerated convergence of aerodynamic shape optimization problems in an adjoint-based framework ⋮ Combining Sobolev smoothing with parameterized shape optimization ⋮ A Riemannian view on shape optimization ⋮ The effect of shocks on second order sensitivities for the quasi-one-dimensional Euler equations ⋮ 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 ⋮ A Data Scalable Augmented Lagrangian KKT Preconditioner for Large-Scale Inverse Problems ⋮ Total pressure losses minimization in turbomachinery cascades using the exact Hessian ⋮ Multilevel functional preconditioning for shape optimisation ⋮ Full-space approach to aerodynamic shape optimization ⋮ Analytic Hessian derivation for the quasi-one-dimensional Euler equations ⋮ Large-Scale Three-Dimensional Acoustic Horn Optimization

Cites Work

• Aerodynamic design via control theory
• A comparison of optimization-based approaches for a model computational aerodynamics design problem
• On the coupling of aerodynamic and structural design
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