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Simulating the propagation of elastic waves in multi-layered media has many applications. A common approach is to use matrix methods where the elastic wave-field within each material layer is represented by a sum of partial-waves along with…

Applied Physics · Physics 2019-09-30 Danny R. Ramasawmy , Ben T. Cox , Bradley E. Treeby

In this work we developed a new problem solution methodology of contact interaction of acoustic medium with resilient finite bodies of cylindrical form, based on application of boundary integral equations method in conjunction with series…

Atmospheric and Oceanic Physics · Physics 2007-05-23 V. I. Demchuk , B. J. Datsko , A. N. Ponomaryov

In many applications, and in particular in seismology, realistic propagation media disperse and attenuate waves. This dissipative behavior can be taken into account by using a viscoacoustic propagation model, which incorporates a complex…

Numerical Analysis · Mathematics 2025-10-20 Jean-Philippe Groby , Chrysoula Tsogka

Linear acoustic wave-splitting is an often used tool in describing sound-wave propagation through earth's subsurface. Earth's subsurface is in general anisotropic due to the presence of water-filled porous rocks. Due to the complexity and…

Mathematical Physics · Physics 2019-03-07 B. L. G. Jonsson , M. Norgren

We address the challenge of sound propagation simulations in 3D virtual rooms with moving sources, which have applications in virtual/augmented reality, game audio, and spatial computing. Solutions to the wave equation can describe wave…

Large-scale simulations of the wave equation in electromagnetism, seismology, and acoustics, can be solved efficiently by finite difference methods. The accuracy of these numerical solutions usually depends on the minimization of…

Medical Physics · Physics 2021-06-23 Gianmarco Pinton

The perfectly matched layer(PML) is commonly used in wave propagation, radiation and diffraction problems in unbounded space domains. A new implementation scheme of PML is presented. The PML formulation is pre-defined, and the wave field…

Geophysics · Physics 2024-04-24 Yuqin Luo , Xintong Dong , Shiqi Dong , Tie Zhong , Yu Zhang , Ying Wang , Ning Hu

Sound propagation is the process by which sound energy travels through a medium, such as air, to the surrounding environment as sound waves. The room impulse response (RIR) describes this process and is influenced by the positions of the…

Sound · Computer Science 2024-09-25 Anton Jeran Ratnarajah

A time domain system of equations is proposed to model elastic wave propagation in an unbounded two-dimensional anisotropic solid using perfectly matched layer (PML). Starting from a system of first-order frequency domain stress-velocity…

Computational Physics · Physics 2013-12-16 Hisham Assi , Richard S. C. Cobbold

Based on the perfectly matched layer (PML) technique, this paper develops a high-accuracy boundary integral equation (BIE) solver for acoustic scattering problems in locally defected layered media in both two and three dimensions. The…

Numerical Analysis · Mathematics 2022-11-03 Wangtao Lu , Liwei Xu , Tao Yin , Lu Zhang

In this paper, we present the stability analysis of the perfectly matched layer (PML) in two-space dimensional layered elastic media. Using normal mode analysis we prove that all interface wave modes present at a planar interface of…

Numerical Analysis · Mathematics 2025-06-09 Kenneth Duru , Balaje Kalyanaraman , Siyang Wang

This paper is concerned with the inverse problem of time-harmonic acoustic scattering by an unbounded, locally rough interface which is assumed to be a local perturbation of a plane. The purpose of this paper is to recover the local…

Analysis of PDEs · Mathematics 2020-08-05 Jianliang Li , Jiaqing Yang , Bo Zhang

The systematic errors due to the practical implementation of the Contact Dynamics method for simulation of dense granular media are examined. It is shown that, using the usual iterative solver to simulate a chain of rigid particles,…

Soft Condensed Matter · Physics 2009-11-07 Tamas Unger , Lothar Brendel , Dietrich E. Wolf , Janos Kertesz

In this paper we set forth new exact analytical Superluminal localized solutions to the wave equation for arbitrary frequencies and adjustable bandwidth. The formulation presented here is rather simple, and its results can be expressed in…

Classical Physics · Physics 2015-06-26 M. Zamboni-Rached , K. Z. Nobrega , H. E. Hernandez-Figueroa , Erasmo Recami

Real-time fluid and aeroacoustic simulation on complex surfaces can have interactive applications - from globe-based weather visualizations to immersive computer games with physically accurate wind and sound. However, conventional…

Analysis of PDEs · Mathematics 2026-01-23 Madhusraba Sinha , Jan Stratmann

Audio super resolution aims to predict the missing high resolution components of the low resolution audio signals. While audio in nature is a continuous signal, current approaches treat it as discrete data (i.e., input is defined on…

Sound · Computer Science 2022-03-31 Jaechang Kim , Yunjoo Lee , Seunghoon Hong , Jungseul Ok

The numerical simulation of acoustic waves in complex 3D media is a key topic in many branches of science, from exploration geophysics to non-destructive testing and medical imaging. With the drastic increase in computing capabilities this…

Computational Physics · Physics 2016-12-21 Alexis Bottero , Paul Cristini , Dimitri Komatitsch , Mark Asch

The propagation of sound waves in a horizontally stratified environment, a classic problem in ocean acoustics, has traditionally been calculated using normal modes. Most programs based on the normal mode model are discretized using the…

Computational Engineering, Finance, and Science · Computer Science 2021-07-29 Houwang Tu , Yongxian Wang , Qiang Lan , Wei Liu , Wenbin Xiao , Shuqing Ma

We study and implement a simple method, based on the Perfectly Matched Layer approach, to treat non reflecting boundary conditions with the Smoothed Particles Hydrodynamics numerical algorithm. The method is based on the concept of physical…

Computational Physics · Physics 2012-02-28 Molteni Diego , Rosario Grammauta , Enrico Vitanza

The simulation of a wave propagation caused by seismic stimulation allows to study the behaviour of the environment and to evaluate the consequences. The model involves the wave equation with a hysteresis loop in the stress-strain…