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Preconditioning harmonic unsteady potential flow calculations

Abstract:

This paper considers finite element discretizations of the Helmholtz equation and its generalization arising from harmonic acoustic perturbations to a nonuniform steady potential flow. A novel elliptic, positive-definite preconditioner with a multigrid implementation is used to accelerate the iterative convergence of Krylov subspace solvers. Both theory and numerical results show that for a model 1-D Helmholtz test problem, the preconditioner clusters the discrete system's eigenvalues and low...

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Publication status:
Published

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Publisher copy:
10.2514/1.15243

Authors


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Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Role:
Author
Journal:
AIAA JOURNAL More from this journal
Volume:
44
Issue:
11
Pages:
2654-2662
Publication date:
2006-11-01
DOI:
EISSN:
1533-385X
ISSN:
0001-1452
Language:
English
Pubs id:
pubs:15485
UUID:
uuid:8c12e05f-7a1c-4abf-b9e3-1c81f52ae7c4
Local pid:
pubs:15485
Source identifiers:
15485
Deposit date:
2012-12-19

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