Spectral recycling strategies for the solution of nonlinear eigenproblems in thermoacoustics
type: Dataset
description: In this work we consider the numerical solution of large nonlinear eigenvalue problems that arise in thermoacoustic simulations involved in the stability analysis of large combustion devices. We briefly introduce the physical modeling that leads to a nonlinear eigenvalue problem that is solved using a nonlinear fixed point iteration scheme. Each step of this nonlinear method requires the solution of a complex non-Hermitian linear eigenvalue problem. We review a set of state of the art eigensolvers and discuss strategies to recycle spectral informations from one nonlinear step to the next. More precisely, we consider the Implicitly Restarted Arnoldi method, the Krylov-Schur solver and its block-variant as well as the subspace iteration method with Chebyshev acceleration. On a small test example we study the relevance of the different approaches and illustrate on a large industrial test case the performance of the parallel solvers best suited to recycle spectral information.
landing page: https://inria.hal.science/hal-00996601
identifier: Report N°: RR-8542
keyword: acm-g-mathematics-of-computingg1-numerical-analysisg110-applications
keyword: acm-g-mathematics-of-computingg1-numerical-analysisg13-numerical-linear-algebra
keyword: block-solvers
keyword: infoeu-reposemanticsreport
keyword: infoinfo-dccomputer-science-csdistributed-parallel-and-cluster-computing-csdc
keyword: infoinfo-mocomputer-science-csmodeling-and-simulation
keyword: jacobi-davidson
keyword: krylov-schur
keyword: mathmath-namathematics-mathnumerical-analysis-mathna
keyword: nonlinear-eigenvalue-problems
keyword: recycling-strategies
keyword: reports
keyword: thermoacoustic
issued: 2026-05-05T10:12:12.227329
modified: 2026-05-05T10:12:12.227334
language: en
contact point: Organization
  fn: CCSD

test_moissonnage_selune
type: Agent

Spectral recycling strategies for the solution of nonlinear eigenproblems in thermoacoustics
type: Distribution
format: HTML
access URL: https://inria.hal.science/hal-00996601
issued: 2026-05-05T10:12:12.228781
modified: 2026-05-05T10:12:12.213546