Numerical and theoretical considerations for sensitivity calculation of discontinuous flow

Chris Homescu, I.M. Navon

Linearization of 1-D Euler equations about a discontinuous solution is discussed from both the theoretical and numerical point of view. Estimates for the norm of the solution of the linearized system are shown to be valid for the case presented. Numerically, the linearization is performed following the guidelines of tangent linear model and sensitivities with respect to a flow parameter are computed, being in better agreement with the analytical value when compared with previously reported results.

Keywords: sensitivity, Euler equations, discontinuity, linearization, sensitivity estimates, tangent linear model