An Arnoldi-frontal approach for the stability analysis of flows in a collapsible channel

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
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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