TY - GEN
T1 - A comprehensive study of adjoint-based optimization of non-linear systems with application to Burgers’ equation
AU - Fikl, Alexandru
AU - Le Chenadec, Vincent
AU - Sayadi, Taraneh
AU - Schmid, Peter J.
PY - 2016
Y1 - 2016
N2 - 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.
AB - 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.
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M3 - Conference contribution
AN - SCOPUS:84980390894
SN - 9781624104367
T3 - 46th AIAA Fluid Dynamics Conference
BT - 46th AIAA Fluid Dynamics Conference
PB - American Institute of Aeronautics and Astronautics Inc, AIAA
T2 - 46th AIAA Fluid Dynamics Conference, 2016
Y2 - 13 June 2016 through 17 June 2016
ER -