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

JOURNAL OF COMPUTATIONAL PHYSICS

卷:280

Article

Imbert, D.¹  McNamara, S.¹  Le Gonidec, Y.² 

[1] Univ Rennes 1, Inst Phys Rennes, CNRS, UMR 6251, F-35042 Rennes, France

[2] Univ Rennes 1, CNRS, UMR 6118, F-35042 Rennes, France

关键词: Granular medium;    Suspension;    Fictitious domain method;    Distributed Lagrange multipliers;    Movable rigid grains;    Acoustic wave equation;   

DOI  :  10.1016/j.jcp.2014.10.006

来源: Elsevier

【 摘 要 】

We develop a model to couple acoustic waves and the motion of rigid movable grains in a submerged suspension. To do so, we use the fictitious domain method based on distributed Lagrange multipliers to enforce the natural jump condition of the wave equation and a rigidity constraint. One can then model the granular medium with Molecular Dynamics or related methods. Both dynamic and acoustic numerical results are compared with analytic solutions of acoustics and an estimation of the error is given. We show energy transfers between two submerged grains separated by water and linked to their own spring while oscillating. The model is applied at large scale with a suspension of many grains to foresee its future possibilities. (C) 2014 Elsevier Inc. All rights reserved.

【 授权许可】

Free