A subspace-accelerated method for solving nonlinear thermoacoustic eigenvalue problems. (3rd March 2022)

• Record Type: Journal Article
• Authors: Mensah, Georg A.; Orchini, Alessandro; Buschmann, Philip E.; Grubišić, Luka
• Is Part Of: Journal of sound and vibration. Volume 520(2022)
• Publication Date: 2022-03-03
• Subjects: Thermoacoustics -- Subspace method -- Reduced order model -- Nonlinear eigenvalue problem; Sound -- Periodicals; Vibration -- Periodicals; Son -- Périodiques; Vibration -- Périodiques; Sound; Vibration; Periodicals; Electronic journals; 620.205
• DOI: 10.1016/j.jsv.2021.116553
• Languages: English
• ISSNs: 0022-460X

Abstract

Abstract: We propose a method to accelerate the solution of 3D FEM-discretized nonlinear eigenvalue problems by drastically reducing the problem dimension. Our method yields a reduced order model (ROM) via a projection onto a suitable subspace, with eigenpairs identical to the full problem in a region of the complex plane. The subspace is automatically constructed by solving the full problem at a few random points inside the region of interest. The method requires minimal user input and, although exemplified for with a thermoacoustic application, readily generalizes to applications dealing with other vibrational problems.