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The numerical analysis of elastic wave propagation in unbounded media may be difficult due to spurious waves reflected at the model artificial boundaries. This point is critical for the analysis of wave propagation in heterogeneous or…

Computational Physics · Physics 2010-09-07 Jean-François Semblat , Luca Lenti , Ali Gandomzadeh

We describe the application of a scalable algorithm for interpolating solution data in the overlapping mesh region of two solvers. This feature is essential to obtain a globally consistent solution for in-situ coupled atmospheric wave…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-03-04 Hannes Brandt , Tim Griesbach , Matthew Zettergren , Scott Aiton , Jonathan Snively , Donna Calhoun , Carsten Burstedde

Acoustic wave propagation in liquid media containing many parallel air-filled cylinders is considered. A self-consistent method is used to compute rigorously the propagation, incorporating all orders of multiple scattering. It is shown that…

Classical Physics · Physics 2009-10-31 Emile Hoskinson , Zhen Ye

We present a mechanism to explicitly couple the finite-difference discretizations of 2D acoustic and isotropic elastic wave systems that are separated by straight interfaces. Such coupled simulations allow the application of the elastic…

Computational Physics · Physics 2021-04-13 Longfei Gao , David Keyes

In this paper, we propose a discrete perfectly matched layer (PML) for the peridynamic scalar wave-type problems in viscous media. Constructing PMLs for nonlocal models is often challenging, mainly due to the fact that nonlocal operators…

Numerical Analysis · Mathematics 2025-02-07 Yu Du , Yonglin Li , Jiwei Zhang

We investigate the problem of finding the optimal shape and topology of a system of acoustic lenses in a dissipative medium. The sound propagation is governed by a general semilinear strongly damped wave equation. We introduce a phase-field…

Optimization and Control · Mathematics 2021-09-29 Harald Garcke , Sourav Mitra , Vanja Nikolić

In the last decade, the perfectly matched layer (PML) approach has proved a flexible and accurate method for the simulation of waves in unbounded media. Most PML formulations, however, usually require wave equations stated in their standard…

Numerical Analysis · Mathematics 2010-01-05 Marcus J. Grote , Imbo Sim

A nonlocal perfectly matched layer (PML) is formulated for the nonlocal wave equation in the whole real axis and numerical discretization is designed for solving the reduced PML problem on a bounded domain. The nonlocal PML poses challenges…

Numerical Analysis · Mathematics 2022-02-22 Yu Du , Jiwei Zhang

The image source method (ISM) is often used to simulate room acoustics due to its ease of use and computational efficiency. The standard ISM is limited to simulations of room impulse responses between point sources and omnidirectional…

Audio and Speech Processing · Electrical Eng. & Systems 2023-09-08 Zeyu Xu , Adrian Herzog , Alexander Lodermeyer , Emanuël A. P. Habets , Albert G. Prinn

This work is focused on the modelling of signal propagations in myelinated axons to characterize the functions of the myelin sheath in the neural structure. Based on reasonable assumptions on the medium properties, we derive a…

Numerical Analysis · Mathematics 2022-12-29 Xue Jiang , Maohui Lyu , Tao Yin , Weiying Zheng

We analyse a linear lattice Boltzmann (LB) formulation for simulation of linear acoustic wave propagation in heterogeneous media. We employ the single-relaxation-time Bhatnagar-Gross-Krook (BGK) as well as the general multi-relaxation-time…

Computational Physics · Physics 2017-05-24 Dattaraj B. Dhuri , Shravan M. Hanasoge , Prasad Perlekar , Johan O. A. Robertsson

Numerical methods are developed to simulate the wave propagation in heterogeneous 2D fluid / poroelastic media. Wave propagation is described by the usual acoustics equations (in the fluid medium) and by the low-frequency Biot's equations…

Classical Physics · Physics 2012-09-25 Guillaume Chiavassa , Bruno Lombard

The physical world consists of spatially varying media, such as the atmosphere and the ocean, in which light and sound propagates along non-linear trajectories. This presents a challenge to existing ray-tracing based methods, which are…

Graphics · Computer Science 2014-09-16 Qi Mo , Hengchin Yeh , Dinesh Manocha

The primary contribution of this paper is to characterize the propagation of acoustic signal carrying information through any medium and the interaction of the travelling acoustic signal with the surrounding medium. We will use the concept…

Signal Processing · Electrical Eng. & Systems 2022-02-15 Indrakshi Dey

The equations of motion in a macroscopically inhomogeneous porous medium saturated by a fluid are derived. As a first verification of the validity of these equations, a two-layer rigid frame porous system considered as one single porous…

The design of absorbing boundary conditions (ABC) in a numerical simulation is a challenging task. In the best cases, spurious reflections remain for some angles of incidence or at certain wave lengths. In the worst, ABC are not even…

Computational Physics · Physics 2024-09-11 Guillaume Bouchard , Arnaud Beck , Francesco Massimo , Arnd Specka

We established the propagation equation of acoustical wave in media with the solid/porous media cylindrical boundary and obtained the analytic solution. We suggested the boundary condition on solid-porous media cylindrical boundary. Based…

Materials Science · Physics 2015-11-11 Un-Son Ri , Un-Gyong An , Song-Jin Im

The perfectly matched layer (PML) formulation is a prominent way of handling radiation problems in unbounded domain and has gained interest due to its simple implementation in finite element codes. However, its simplicity can be advanced…

Numerical Analysis · Mathematics 2022-10-04 Jon Vegard Venås , Trond Kvamsdal

We describe and evaluate a numerical solution strategy for simulating surface acoustic waves through semiconductor devices with complex geometries. This multi-physics problem is of particular relevance to the design of quantum electronic…

Computational Physics · Physics 2007-05-23 S. Rahman , H. P. Langtangen , C. H. W. Barnes

We present a novel immersed boundary method that implements acoustic perturbation theory to model an acoustically levitated droplet. Instead of resolving sound waves numerically, our hybrid method solves acoustic scattering…

Soft Condensed Matter · Physics 2024-03-22 Jacqueline B. Sustiel , David G. Grier