000190658 001__ 190658
000190658 005__ 20190316235746.0
000190658 0247_ $$2doi$$a10.1051/m2an/2013093
000190658 022__ $$a0764-583X
000190658 037__ $$aARTICLE
000190658 245__ $$aMultiscale modeling of sound propagation through the lung parenchyma
000190658 260__ $$bEDP Sciences$$c2014
000190658 269__ $$a2014
000190658 336__ $$aJournal Articles
000190658 520__ $$aIn this paper we develop and study numerically a model to describe some aspects of sound propagation in the human lung, considered as a deformable and viscoelastic porous medium (the parenchyma) with millions of alveoli filled with air. Transmission of sound through the lung above 1 kHz is known to be highly frequency-dependent. We pursue the key idea that the viscoelastic parenchyma structure is highly heterogeneous on the small scale ε and use two-scale homogenization techniques to derive effective acoustic equations for asymptotically small ε. This process turns out to introduce new memory effects. The effective material parameters are determined from the solution of frequency-dependent micro-structure cell problems. We propose a numerical approach to investigate the sound propagation in the homogenized parenchyma using a Discontinuous Galerkin formulation. Numerical examples are presented.
000190658 6531_ $$aMathematical modeling
000190658 6531_ $$aPeriodic homogenization
000190658 6531_ $$aViscoelastic media
000190658 6531_ $$aFluid-structure interaction
000190658 6531_ $$aDiscontinuous Galerkin methods
000190658 700__ $$0247823$$g242423$$aCazeaux, Paul
000190658 700__ $$g232231$$0247428$$aHesthaven, Jan S.
000190658 773__ $$j48$$tMathematical Modelling and Numerical Analysis$$k1$$q27-52
000190658 8564_ $$uhttps://infoscience.epfl.ch/record/190658/files/M2AN482014.pdf$$zPublisher's version$$s3357452$$yPublisher's version
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000190658 937__ $$aEPFL-ARTICLE-190658
000190658 973__ $$rREVIEWED$$sPUBLISHED$$aOTHER
000190658 980__ $$aARTICLE