Hao, Y., Cai, Z., Roper, S. and Luo, X. (2016) An Arnoldi-frontal approach for the stability analysis of flows in a collapsible channel. International Journal of Applied Mechanics, 8(6), 1650073. (doi: 10.1142/S1758825116500733)
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Abstract
In this paper, we present a new approach based on a combination of the Arnoldi and frontal methods for solving large sparse asymmetric and generalized complex eigenvalue problems. The new eigensolver seeks the most unstable eigensolution in the Krylov subspace and makes use of the efficiency of the frontal solver developed for the finite element methods. The approach is used for a stability analysis of flows in a collapsible channel and is found to significantly improve the computational efficiency compared to the traditionally used QZ solver or a standard Arnoldi method. With the new approach, we are able to validate the previous results obtained either on a much coarser mesh or estimated from unsteady simulations. New neutral stability solutions of the system have been obtained which are beyond the limits of previously used methods.
Item Type: | Articles |
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Status: | Published |
Refereed: | Yes |
Glasgow Author(s) Enlighten ID: | Roper, Dr Steven and Luo, Professor Xiaoyu |
Authors: | Hao, Y., Cai, Z., Roper, S., and Luo, X. |
College/School: | College of Science and Engineering > School of Mathematics and Statistics > Mathematics |
Journal Name: | International Journal of Applied Mechanics |
Publisher: | World Scientific Publishing |
ISSN: | 1758-8251 |
ISSN (Online): | 1758-826X |
Published Online: | 22 November 2016 |
Copyright Holders: | Copyright © 2016 The AuthorsWorld Scientific Publishing |
First Published: | First published in International Journal of Applied Mechanics 8(6):1650073 |
Publisher Policy: | Reproduced in accordance with the copyright policy of the publisher |
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