Analytic Hessian derivation for the quasi-one-dimensional Euler equations

DOI10.1016/J.JCP.2008.09.021zbMath1162.76049OpenAlexW1973117858MaRDI QIDQ1010329

Eyal Arian, Angelo Iollo

Publication date: 3 April 2009

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2008.09.021

zbMATH Keywords

pressure minimizationpressure matching inverse problem

Mathematics Subject Classification ID

Gas dynamics (general theory) (76N15) Flow control and optimization for compressible fluids and gas dynamics (76N25)

Related Items (3)

The effect of shocks on second order sensitivities for the quasi-one-dimensional Euler equations ⋮ A Data Scalable Augmented Lagrangian KKT Preconditioner for Large-Scale Inverse Problems ⋮ Total pressure losses minimization in turbomachinery cascades using the exact Hessian

Cites Work

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• A comparison of optimization-based approaches for a model computational aerodynamics design problem
• Exact-gradient shape optimization of a 2-D Euler flow
• A formalism for the differentiation of conservation laws
• Contribution to the optimal shape design of two-dimensional internal flows with embedded shocks
• Analysis of the Hessian for aerodynamic optimization: Inviscid flow
• Analytic adjoint solutions for the quasi-one-dimensional Euler equations
• A Preconditioning Method for Shape Optimization Governed by the Euler Equations
• S<scp>HAPE</scp> O<scp>PTIMIZATION IN</scp> F<scp>LUID</scp> M<scp>ECHANICS</scp>

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