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A subspace-accelerated method for solving nonlinear thermoacoustic eigenvalue problems
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DOI：10.1016/j.jsv.2021.116553.png)
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Abstract
En 中文
We propose a method to accelerate the solution of 3D FEM-discretized nonlinear eigenvalue problems by drastically reducing the problem dimension. Ou r method yields a reduced order model (ROM) via a projection onto a suitable subspace, with eigenpairs identical to the f u l l problem in a region of the complex plane. The subspace is automatically constructed by solving the f u l l 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.
Keywords:
Thermoacoustics
Subspace method
Reduced order model
Nonlinear eigenvalue problem
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