A Discrete-Time, State-Space Approach for the Investigation of Non-Normal Effects in Thermoacoustic Systems
A low-order, state-space modeling approach for thermoacoustic systems has been developed, which is based on present and past values of nodal characteristic wave amplitudes. The method allows to simulate the time evolution of the system state, but also the efficient computation of the (pseudo-)spectr...
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2011-12-01
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Series: | International Journal of Spray and Combustion Dynamics |
Online Access: | https://doi.org/10.1260/1756-8277.3.4.331 |
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doaj-90e4cf63dfe6499fa06d0058fed2ce3d2020-11-25T03:43:20ZengSAGE PublishingInternational Journal of Spray and Combustion Dynamics1756-82771756-82852011-12-01310.1260/1756-8277.3.4.33110.1260_1756-8277.3.4.331A Discrete-Time, State-Space Approach for the Investigation of Non-Normal Effects in Thermoacoustic SystemsHerbert MangesiusWolfgang PolifkeA low-order, state-space modeling approach for thermoacoustic systems has been developed, which is based on present and past values of nodal characteristic wave amplitudes. The method allows to simulate the time evolution of the system state, but also the efficient computation of the (pseudo-)spectrum of the evolution operator. It is demonstrated by comparison with a frequency-domain “network model” that eigenmodes and asymptotic linear stability are predicted correctly. The influence of various model parameters (downstream reflection coefficient, temperature ratio across the heat source, magnitude and spread of heat source time delays) on transient growth of perturbation energy is explored. The discussion in the present paper is limited to simple test cases, but the approach can be generalized to systems with non-trivial topology.https://doi.org/10.1260/1756-8277.3.4.331 |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Herbert Mangesius Wolfgang Polifke |
spellingShingle |
Herbert Mangesius Wolfgang Polifke A Discrete-Time, State-Space Approach for the Investigation of Non-Normal Effects in Thermoacoustic Systems International Journal of Spray and Combustion Dynamics |
author_facet |
Herbert Mangesius Wolfgang Polifke |
author_sort |
Herbert Mangesius |
title |
A Discrete-Time, State-Space Approach for the Investigation of Non-Normal Effects in Thermoacoustic Systems |
title_short |
A Discrete-Time, State-Space Approach for the Investigation of Non-Normal Effects in Thermoacoustic Systems |
title_full |
A Discrete-Time, State-Space Approach for the Investigation of Non-Normal Effects in Thermoacoustic Systems |
title_fullStr |
A Discrete-Time, State-Space Approach for the Investigation of Non-Normal Effects in Thermoacoustic Systems |
title_full_unstemmed |
A Discrete-Time, State-Space Approach for the Investigation of Non-Normal Effects in Thermoacoustic Systems |
title_sort |
discrete-time, state-space approach for the investigation of non-normal effects in thermoacoustic systems |
publisher |
SAGE Publishing |
series |
International Journal of Spray and Combustion Dynamics |
issn |
1756-8277 1756-8285 |
publishDate |
2011-12-01 |
description |
A low-order, state-space modeling approach for thermoacoustic systems has been developed, which is based on present and past values of nodal characteristic wave amplitudes. The method allows to simulate the time evolution of the system state, but also the efficient computation of the (pseudo-)spectrum of the evolution operator. It is demonstrated by comparison with a frequency-domain “network model” that eigenmodes and asymptotic linear stability are predicted correctly. The influence of various model parameters (downstream reflection coefficient, temperature ratio across the heat source, magnitude and spread of heat source time delays) on transient growth of perturbation energy is explored. The discussion in the present paper is limited to simple test cases, but the approach can be generalized to systems with non-trivial topology. |
url |
https://doi.org/10.1260/1756-8277.3.4.331 |
work_keys_str_mv |
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_version_ |
1724520583364870144 |