The effect of shocks on second order sensitivities for the quasi-one-dimensional Euler equations

DOI10.1016/j.jcp.2011.08.010zbMath1367.76032OpenAlexW2054422660MaRDI QIDQ414028

Haysam Telib, Eyal Arian, Angelo Iollo

Publication date: 8 May 2012

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

Full work available at URL: https://doi.org/10.1016/j.jcp.2011.08.010

zbMATH Keywords

Hessianadjoint solutionpressure matching problempressure minimization problem

Mathematics Subject Classification ID

Shock waves and blast waves in fluid mechanics (76L05) Finite volume methods applied to problems in fluid mechanics (76M12) Gas dynamics (general theory) (76N15)

Uses Software

• TAPENADE
• HE-E1GODF

Cites Work

• Unnamed Item
• The continuous direct-adjoint approach for second-order sensitivities in viscous aerodynamic inverse design problems
• Total pressure losses minimization in turbomachinery cascades using the exact Hessian
• First- and second-order aerodynamic sensitivity derivatives via automatic differentiation with incremental iterative methods
• Data assimilation for conservation laws
• Analytic Hessian derivation for the quasi-one-dimensional Euler equations
• A formalism for the differentiation of conservation laws
• Analysis of the Hessian for aerodynamic optimization: Inviscid flow
• Analytic adjoint solutions for the quasi-one-dimensional Euler equations
• Riemann Solvers and Numerical Methods for Fluid Dynamics
• GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
• A Preconditioning Method for Shape Optimization Governed by the Euler Equations

This page was built for publication: The effect of shocks on second order sensitivities for the quasi-one-dimensional Euler equations