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A parabolic equation for the propagation of periodic internal waves over varying bottom topography is derived using the multiple-scale perturbation method. Some computational aspects of the numerical implementation are discussed. The…

Atmospheric and Oceanic Physics · Physics 2009-11-13 M. Yu. Trofimov , S. B. Kozitskiy , A. D. Zakharenko

Accurate sound propagation simulation is essential for delivering immersive experiences in virtual applications, yet industry methods for acoustic modeling often do not account for the full breadth of acoustic wave phenomena. This paper…

Sound · Computer Science 2025-07-15 Bilkent Samsurya

Although the accurate description of the wave propagation and absorption in plasmas requires complicated full wave solutions or kinetic simulations, the local dispersion analysis can still be helpful to capture the main physics of wave…

Plasma Physics · Physics 2024-05-01 Huasheng Xie , Haojie Ma , Yukun Bai

We propose a scheme of acoustic spherical cloaking by means of background irrotational flow in compressible fluid. The background flow forms a virtual curved spacetime and guides the sound waves bypass the cloaked objects. To satisfy the…

Classical Physics · Physics 2016-08-24 Ruo-Yang Zhang , Qing Zhao , Mo-Lin Ge

With the rapid increase in mobile subscribers, there is a drive towards achieving higher data rates, prompting the use of higher frequencies in future wireless communication technologies. Wave propagation channel modeling for these…

Signal Processing · Electrical Eng. & Systems 2024-06-13 Xueyun Long , Amina Fellan , Mario Pauli , Hans D. Schotten , Thomas Zwick

We review the dynamical mean-field theory of strongly correlated fermion systems which is based on a mapping of lattice models onto quantum impurity models subject to a self-consistency condition. This mapping is exact in the limit of large…

Condensed Matter · Physics 2007-05-23 A. Georges , G. Kotliar , W. Krauth , M. J. Rozenberg

This paper is concerned with the problem of inverse scattering of time-harmonic acoustic plane waves by a two-layered medium with a locally rough interface in 2D. A direct imaging method is proposed to reconstruct the locally rough…

Numerical Analysis · Mathematics 2023-05-11 Long Li , Jiansheng Yang , Bo Zhang , Haiwen Zhang

Accurate acoustic simulations of enclosed spaces require precise boundary conditions, typically expressed through surface impedances for wave-based methods. Conventional measurement techniques often rely on simplifying assumptions about the…

Sound · Computer Science 2026-04-09 Jonas M. Schmid , Johannes D. Schmid , Martin Eser , Steffen Marburg

This note is intended as a brief introduction to the theory and practice of perfectly matched layer (PML) absorbing boundaries for wave equations, originally developed for MIT courses 18.369 and 18.336. It focuses on the complex…

Computational Engineering, Finance, and Science · Computer Science 2021-08-12 Steven G. Johnson

A new method for numerical solving of boundary problem for ordinary differential equations with slowly varying coefficients which is aimed at better representation of solutions in the regions of their rapid oscillations or exponential…

Computational Physics · Physics 2007-05-23 V. E. Moiseenko , V. V. Pilipenko

This note presents a simulation method for investigating the relationship between porosity and particle size distribution in porous media characterization. The method simulates particle packing based on particle size distributions,…

Soft Condensed Matter · Physics 2024-09-25 Yuhe Wang

A novel 3-D higher-order finite-difference time-domain framework with complex frequency-shifted perfectly matched layer for the modeling of wave propagation in cold plasma is presented. Second- and fourth-order spatial approximations are…

Plasma Physics · Physics 2013-10-25 Konstantinos P. Prokopidis

We investigate the propagation of surface acoustic waves (SAWs) in a layered half-space system comprising a continuous, sub-wavelength-thick layer weakly adhering to a substrate. Using finite element simulations, we demonstrate that this…

Applied Physics · Physics 2026-02-25 Martin Robin , Thomas Dehoux , Maroun Abi Ghanem

A new computational method is presented to resolve hydrodynamic interactions acting on solid particles immersed in incompressible host fluids. In this method, boundaries between solid particles and host fluids are replaced with a continuous…

Soft Condensed Matter · Physics 2009-11-10 Y. Nakayama , R. Yamamoto

The effective mixing behavior of solutes in porous media is fundamentally connected to the development of a local mixing interface between the two initial solutions, which is characterized by a complex lamellar structure. The deformation of…

Fluid Dynamics · Physics 2025-02-28 Daniel M C Hallack , Guillem Sole-Mari , Saif Farhat , Diogo Bolster

We present equivalent conditions and asymptotic models for the diffraction problem of elastic and acoustic waves in a solid medium surrounded by a thin layer of fluid medium. Due to the thinness of the layer with respect to the wavelength,…

Numerical Analysis · Mathematics 2022-05-16 Victor Péron

The propagation of sound waves on lipid monolayers supported on water has been studied during the melting transition. Since changes in volume, area, and compressibility in lipid membranes have biological relevance, the observed sound…

Soft Condensed Matter · Physics 2017-05-17 M. I. Perez-Camacho , JC Ruiz-Suarez

A natural medium for wave propagation comprises a coupled bounded heterogeneous region and an unbounded homogeneous free-space. Frequency-domain wave propagation models in the medium, such as the variable coefficient Helmholtz equation,…

Numerical Analysis · Mathematics 2020-01-29 Victor Dominguez , Mahadevan Ganesh , Francisco-Javier Sayas

Many natural phenomena involve processes that happen simultaneously at different characteristic length- and timescales. Typically, the region where the process of interest happens is affected by fluctuations in its surroundings. Modeling…

Materials Science · Physics 2026-04-24 Hari Haran Sudhakar , Alessandra Serva , Rocio Semino

The 'vertical modes and horizontal rays' method, commonly applied for simulating acoustic wave propagation in shallow water is advanced in this research. Our approach to this method involves the use of the so-called space-time rays, which…

Mathematical Physics · Physics 2025-01-08 Aleksandr Kaplun , Boris Katsnelson
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