A comprehensive study of adjoint-based optimization of non-linear systems with application to Burgers’ equation

Alexandru Fikl, Vincent Le Chenadec, Taraneh Sayadi, Peter J. Schmid

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

In the context of adjoint-based optimization, nonlinear conservation laws pose significant problems regarding the existence and uniqueness of both direct and adjoint solutions, as well as the well-posedness of the problem for sensitivity analysis and gradient-based optimization algorithms. In this paper we will analyze the convergence of the adjoint equations to known exact solutions of the inviscid Burgers” equation for a variety of numerical schemes. The effect of the non-differentiability of the underlying approximate Riemann solver, complete vs. incomplete differentiation of the discrete schemes and inconsistencies in time advancement will be discussed.

Original languageEnglish (US)
Title of host publication46th AIAA Fluid Dynamics Conference
PublisherAmerican Institute of Aeronautics and Astronautics Inc, AIAA
ISBN (Print)9781624104367
StatePublished - Jan 1 2016
Event46th AIAA Fluid Dynamics Conference, 2016 - Washington, United States
Duration: Jun 13 2016Jun 17 2016

Publication series

Name46th AIAA Fluid Dynamics Conference

Other

Other46th AIAA Fluid Dynamics Conference, 2016
CountryUnited States
CityWashington
Period6/13/166/17/16

ASJC Scopus subject areas

  • Engineering (miscellaneous)
  • Aerospace Engineering

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  • Cite this

    Fikl, A., Le Chenadec, V., Sayadi, T., & Schmid, P. J. (2016). A comprehensive study of adjoint-based optimization of non-linear systems with application to Burgers’ equation. In 46th AIAA Fluid Dynamics Conference (46th AIAA Fluid Dynamics Conference). American Institute of Aeronautics and Astronautics Inc, AIAA.