Adjoint characteristic decomposition of one-dimensional waves

JOURNAL OF COMPUTATIONAL PHYSICS

卷:388

Article

Magri, Luca¹ 

[1] Univ Cambridge, Engn Dept, Trumpington St, Cambridge CB2 1PZ, England

关键词: Adjoint equations;    Acoustics;    Wave propagation;   

DOI  :  10.1016/j.jcp.2019.03.032

来源: Elsevier

【 摘 要 】

Adjoint methods enable the accurate calculation of the sensitivities of a quantity of interest. The sensitivity is obtained by solving the adjoint system, which can be derived by continuous or discrete adjoint strategies. In acoustic wave propagation, continuous and discrete adjoint methods have been developed to compute the eigenvalue sensitivity to design parameters and passive devices (Aguilar et al., 2017, [1]). In this short communication, it is shown that the continuous and discrete adjoint characteristic decompositions, and Riemann invariants, are connected by a similarity transformation. The results are shown in the Laplace domain. The adjoint characteristic decomposition is applied to a one-dimensional acoustic resonator, which contains a monopole source of sound. The proposed framework provides the foundation to tackle larger acoustic networks with a discrete adjoint approach, opening up new possibilities for adjoint-based design of problems that can be solved by the method of characteristics. (C) 2019 Elsevier Inc. All rights reserved.

【 授权许可】

Free