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Publications (3 of 3) Show all publications
Gaborit, M., Dazel, O. & Göransson, P. (2018). A simplified model for thin acoustic screens. Journal of the Acoustical Society of America, 144(1), EL76-EL81
Open this publication in new window or tab >>A simplified model for thin acoustic screens
2018 (English)In: Journal of the Acoustical Society of America, ISSN 0001-4966, E-ISSN 1520-8524, Vol. 144, no 1, p. EL76-EL81Article in journal (Refereed) Published
Abstract [en]

A generalization of the commonly used pressure jump modeling of thin porous layers is proposed. The starting point is a transfer matrix model of the layer derived using matrix exponentials. First order expansions of the propagating terms lead to a linear approximation of the associated phenomena and the resulting matrix is further simplified based on physical assumptions. As a consequence, the equivalent fluid parameters used in the model may be reduced to simpler expressions and the transfer matrix rendered sparser. The proposed model is validated for different backing conditions, from normal to grazing incidence and for a wide range of thin films. In the paper, the physical hypotheses are discussed, together with the origin of the field jumps.

Place, publisher, year, edition, pages
Acoustical Society of America (ASA), 2018
National Category
Control Engineering
Identifiers
urn:nbn:se:kth:diva-233427 (URN)10.1121/1.5047929 (DOI)000440810900013 ()30075680 (PubMedID)2-s2.0-85051036767 (Scopus ID)
Note

QC 20180821

Available from: 2018-08-21 Created: 2018-08-21 Last updated: 2018-08-21Bibliographically approved
Gaborit, M., Dazel, O., Göransson, P. & Gabard, G. (2018). Coupling of finite element and plane waves discontinuous Galerkin methods for time-harmonic problems. International Journal for Numerical Methods in Engineering, 116(7), 487-503
Open this publication in new window or tab >>Coupling of finite element and plane waves discontinuous Galerkin methods for time-harmonic problems
2018 (English)In: International Journal for Numerical Methods in Engineering, ISSN 0029-5981, E-ISSN 1097-0207, Vol. 116, no 7, p. 487-503Article in journal (Refereed) Published
Abstract [en]

A coupling approach is presented to combine a wave-based method to the standard finite element method. This coupling methodology is presented here for the Helmholtz equation but it can be applied to a wide range of wave propagation problems. While wave-based methods can significantly reduce the computational cost, especially at high frequencies, their efficiency is hampered by the need to use small elements to resolve complex geometric features. This can be alleviated by using a standard finite element model close to the surfaces to model geometric details and create large, simply-shaped areas to model with a wave-based method. This strategy is formulated and validated in this paper for the wave-based discontinuous Galerkin method together with the standard finite element method. The coupling is formulated without using Lagrange multipliers and results demonstrate that the coupling is optimal in that the convergence rates of the individual methods are maintained.

Place, publisher, year, edition, pages
WILEY, 2018
Keywords
discontinuous Galerkin method, finite element method, hybrid method, plane waves
National Category
Computational Mathematics
Identifiers
urn:nbn:se:kth:diva-238110 (URN)10.1002/nme.5933 (DOI)000446988200003 ()2-s2.0-85052440540 (Scopus ID)
Note

QC 20190110

Available from: 2019-01-10 Created: 2019-01-10 Last updated: 2019-01-10Bibliographically approved
Gaborit, M., Göransson, P. & Dazel, O. (2018). Simplification of the transfer matrix model for acoustic screens. In: : . Paper presented at ISMA-USD 2018.
Open this publication in new window or tab >>Simplification of the transfer matrix model for acoustic screens
2018 (English)Conference paper, Published paper (Refereed)
National Category
Fluid Mechanics and Acoustics
Identifiers
urn:nbn:se:kth:diva-240275 (URN)2-s2.0-85060380314 (Scopus ID)
Conference
ISMA-USD 2018
Note

QC 20190418

Available from: 2018-12-14 Created: 2018-12-14 Last updated: 2019-04-18Bibliographically approved
Organisations
Identifiers
ORCID iD: ORCID iD iconorcid.org/0000-0001-9071-6325

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