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相关论文: Simulating time-harmonic acoustic wave effects ind…

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This paper presents an application of time-frequency methods to characterize the dispersion of acoustic waves travelling in a one-dimensional periodic or disordered lattice made up of Helmholtz resonators connected to a cylindrical tube.…

经典物理 · 物理学 2009-07-10 Olivier Richoux , Claude Depollier , Jean Hardy

Acoustic wave propagation through a homogeneous material embedded in an unbounded medium can be formulated as a boundary integral equation and accurately solved with the boundary element method. The computational efficiency deteriorates at…

数值分析 · 数学 2024-02-21 Elwin van 't Wout

Irregular terrain has a pronounced effect on the propagation of seismic and acoustic wavefields but is not straightforwardly reconciled with structured finite-difference (FD) methods used to model such phenomena. Methods currently detailed…

数值分析 · 数学 2023-09-08 Edward Caunt , Rhodri Nelson , Fabio Luporini , Gerard Gorman

In this paper, we consider the development and analysis of a new explicit compact high-order finite difference scheme for acoustic wave equation formulated in divergence form, which is widely used to describe seismic wave propagation…

数值分析 · 数学 2020-03-24 Da Li , Keran Li , Wenyuan Liao

We consider the propagation of acoustic time-harmonic waves in a homogeneous media containing periodic lattices of spherical or cylindrical inclusions. It is assumed that the wavelength has the order of the periods of the lattice while the…

偏微分方程分析 · 数学 2019-07-04 Yuri A. Godin , Boris Vainberg

Acoustic and elastic wave equations are routinely used in geophysical and engineering studies to simulate the propagation of waves, with a broad range of applications, including seismology, near surface characterization, non-destructive…

数值分析 · 数学 2022-09-05 Longfei Gao

Simulation of the acoustic wave equation plays an important role in various applications, including audio engineering, medical imaging, and fluid dynamics. However, the complexity of the propagation medium can pose challenges, such as the…

数值分析 · 数学 2024-11-20 Tao Yu , Tailong Jin , Yanfeng Shen , Lei Zhang

Generalized impedance boundary conditions are effective, approximate boundary conditions that describe scattering of waves in situations where the wave interaction with the material involves multiple scales. In particular, this includes…

数值分析 · 数学 2020-05-29 Lehel Banjai , Christian Lubich , Joerg Nick

In this work, a method for the simulation of guided wave propagation in solids defined by implicit surfaces is presented. The method employs structured grids of spectral elements in combination to a fictitious domain approach to represent…

计算工程、金融与科学 · 计算机科学 2022-07-08 Sergio Nicoli , Konstantinos Agathos , Eleni Chatzi

A symmetric boundary integral formulation for the transient scattering of acoustic waves off homogeneous and isotropic elastic obstacles is analyzed. Both the acoustic scattered field and the elastodynamic excited field are represented…

数值分析 · 数学 2025-08-19 Tonatiuh Sánchez-Vizuet

In this paper, we propose a new nonuniform mesh method to simulate acoustic scattering problems in two dimensional periodic structures with non-periodic incident fields numerically. As existing methods are difficult to extend to higher…

数值分析 · 数学 2022-03-14 Tilo Arens , Ruming Zhang

When waves impinge on a disordered material they are back-scattered and form a highly complex interference pattern. Suppressing any such distortions in the free propagation of a wave is a challenging task with many applications in a number…

Consider the time-harmonic acoustic scattering from a bounded penetrable obstacle imbedded in an isotropic homogeneous medium. The obstacle is supposed to possess a circular conic point or an edge point on the boundary in three dimensions…

偏微分方程分析 · 数学 2018-01-17 Johannes Elschner , Guanghui Hu

The aim of this work is to introduce and analyze a finite element discontinuous Galerkin method on polygonal meshes for the numerical discretization of acoustic waves propagation through poroelastic materials. Wave propagation is modeled by…

数值分析 · 数学 2021-04-14 Paola F. Antonietti , Michele Botti , Ilario Mazzieri , Simone Nati Poltri

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…

计算物理 · 物理学 2021-04-13 Longfei Gao , David Keyes

In this paper, we consider inverse time-harmonic acoustic and electromagnetic scattering from locally perturbed rough surfaces in three dimensions. The scattering interface is supposed to be the graph of a Lipschitz continuous function with…

偏微分方程分析 · 数学 2018-12-24 Yu Zhao , Guanghui Hu , Baoqiang Yan

A systematic study of small, time-dependent, perturbations to geometric wave-equation domains is hardly existent. Acoustic enclosures are typical examples featuring locally reacting surfaces that respond to a pressure gradient or a pressure…

数学物理 · 物理学 2018-01-03 David T. Heider , J. Leo van Hemmen

We consider the time-harmonic acoustic wave scattering by a bounded {\it anisotropic inhomogeneity} embedded in an unbounded {\it anisotropic} homogeneous medium. The material parameters may have discontinuities across the interface between…

偏微分方程分析 · 数学 2018-12-26 Otar Chkadua , Sergey E. Mikhailov , David Natroshvili

This work proposes a discretization of the acoustic wave equation with possibly oscillatory coefficients based on a superposition of discrete solutions to spatially localized subproblems computed with an implicit time discretization. Based…

数值分析 · 数学 2024-03-11 Dietmar Gallistl , Roland Maier

In this paper we develop a finite element method for acoustic wave propagation in Drude-type metamaterials. The governing equation is written as a symmetrizable hyperbolic system with auxiliary variables. The standard mixed finite elements…

数值分析 · 数学 2020-07-13 Jeonghun J. Lee
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