Adjoint-based computation of shape sensitivity in a Rijke-tube

摘要: Geometrical shape is the most important parameter defining acoustic spectra. While adjoint-based sensitivity analysis of shape alterations is a well established technique in other engineering disciplines such as airfoil design, it is less common in acoustic and especially thermoacoustic contexts. Only recently the thermoacoustic community has begun to deploy such methods for stability assessment. The present paper aims at continuing this effort by discussing the challenges of domain shape deformations to adjoint-based gradient calculations and a parameter-free implementation into a state-of-the-art thermoacoustic Helmholtz solver. Deformations of a simple thermoacoustic system–a Rijke tube–will be studied as an example case to validate the method. Despite this practical focus on thermoacoustics, the results of the paper are fruitful for other acoustic topics involving stability analyses, as the underlying concepts …