A Continuous Shape Sensitivity Equation Method of Arbitrary High Order

摘要

We present a comprehensive continuous Lagragian sensitivity equation method (CLSEM) developed to compute multiparametric shape sensitivities of arbitrarily high order. The method and its details in variational form are presented for a Navier-Stokes-like set of equations which can easily be extended to the full Navier-Stokes equations. Verification of the implementation of the method is conducted with an in-house 1D FEM code and the method of manufactured solutions (MMS). Fast evaluation of nearby configurations using sensitivity data is investigated.