Fictitious domain method for acoustic waves through a granular suspension of movable rigid spheres

DOI10.1016/j.jcp.2014.10.006zbMath1349.76222OpenAlexW2080139939MaRDI QIDQ349762

D. Imbert, Y. Le Gonidec, Sean Mcnamara

Publication date: 5 December 2016

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://hal-insu.archives-ouvertes.fr/insu-01100866/file/imbert-J-comp-phys-2014-HAL.pdf

zbMATH Keywords

suspensionfictitious domain methodacoustic wave equationgranular mediumdistributed Lagrange multipliersmovable rigid grains

Mathematics Subject Classification ID

Hydro- and aero-acoustics (76Q05) Finite element methods applied to problems in fluid mechanics (76M10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Granular flows (76T25)

Uses Software

• FreeFem++

Cites Work

• Mixed methods using standard conforming finite elements
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• Fictitious domain methods for the numerical solution of two-dimensional scattering problems
• A perfectly matched layer for the absorption of electromagnetic waves
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• New development in freefem++
• Fictitious domain method to model a movable rigid body in a sound wave
• A new formulation of the distributed Lagrange multiplier/fictitious domain method for particulate flows
• A distributed Lagrange multiplier/fictitious domain method for particulate flows
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