Numerical methods for acoustics and noise control
This dissertation considers numerical methods for wave propagation modelling
and noise control. The first part of the dissertation discusses an efficient method
for solving time-harmonic wave equations in acoustic (the Helmholtz equation)
and elastic domains (the Navier equation). The solver is based on preconditioning a Krylov subspace method, such as GMRES, with approximations of damped
variants of the corresponding wave equations. An algebraic multigrid method
is used in approximating the inverse of damped operators. The method can be
used in complex three-dimensional computational domains with varying material properties.
The second part of the dissertation considers noise control problems. Two
different noise control problems are discussed in detail. First, a shape optimization of a duct system with respect to sound transmission loss is discussed. The
sound transmission loss is maximized at multiple frequency ranges simultaneously, by adjusting the shape of a reactive muffler component. The noise reduction problem is formulated as a multiobjective optimization problem for the
NSGA-II genetic algorithm. The discussed method provides an efficient approach
to design muffler components. Second, a novel method is introduced for assessing the effectiveness of the optimal anti-noise for local sound control in a stochastic domain. A three-dimensional enclosed acoustic space, for example, a cabin
with acoustic actuators in given locations, is modelled using the finite element
method in the frequency domain. In a model problem, a significant noise reduction is demonstrated particularly at lower frequencies.
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Artikkeliväitöskirja. Sisältää yhteenveto-osan ja viisi artikkelia. Article dissertation. Contains an introduction part and five articles.
Julkaisija
University of JyväskyläISBN
978-951-39-4037-9ISSN Hae Julkaisufoorumista
1456-5390Julkaisuun sisältyy osajulkaisuja
- Article I: Airaksinen, T., Heikkola, E, Pennanen, A. & Toivanen, J. (2009). An algebraic multigrid based shifted-Laplacian preconditioner for the Helmholtz equation. Journal of Computational Physics 226 (2007) 1196-1210. Full text
- Article II: Airaksinen, T., Pennanen, A. & Toivanen, J. (2009). A damping preconditioner for time-harmonic wave equations in fluid and elastic material. Journal of Computational Physics 228 (2009) 1466-1479. Full text
- Article III: Airaksinen, T. & Mönkölä, S. (2010). Comparison between the shifted-Laplacian preconditioning and the controllability methods for computational acoustics. Journal of Computational and Applied Mathematics, 234 (6), 1796-1802. Full text
- Article IV: Airaksinen, T., Heikkola, E. & Toivanen, J. (2009). Active noise control in a stochastic domain based on a finite element model. Reports of the Department of Mathematical Information Technology, Series B. Scientific Computing, B 1/2009 Please see (NB. changed title)
- Article V: Airaksinen, T. & Heikkola, E. Multiobjective muffler shape optimization with hybrid acoustics modelling. Reports of the Department of Mathematical Information Technology, Series B. Scientific Computing, B 6/2006. Full text
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Multi-objective actuator placement optimization for local sound control evaluated in a stochastic domain
Airaksinen, Tuomas; Aittokoski, Timo (Jyväskylän yliopisto, 2011)A method to find optimal locations and properties of anti-noise actuators in local noise control system is considered. The local noise control performance is approximated by a finite element method based approach, that ... -
Lyapunov quantities and limit cycles in two-dimensional dynamical systems : analytical methods, symbolic computation and visualization
Kuznetsova, Olga (University of Jyväskylä, 2011) -
Controllability method for acoustic scattering with spectral elements
Heikkola, Erkki; Mönkölä, Sanna; Pennanen, Anssi; Rossi, Tuomo (Elsevier, 2007)We formulate the Helmholtz equation as an exact controllability problem for the time-dependent wave equation. The problem is then discretized in time domain with central finite difference scheme and in space domain with ... -
Chaos and its Degradation-Promoting-Based Control in an Antithetic Integral Feedback Circuit
Zand, Armin M.; Tavazoei, Mohammad Saleh; Kuznetsov, Nikolay V. (Institute of Electrical and Electronics Engineers (IEEE), 2022)This letter deals with a novel variant of antithetic integral feedback controller (AIFC) motifs which can feature robust perfect adaptation, a pervasive (desired) ability in natural (synthetic) biomolecular circuits, when ... -
Implementation techniques for the lattice Boltzmann method
Mattila, Keijo (University of Jyväskylä, 2010)
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