Time harmonic acoustic scattering in anisotropic media

2005 ◽  
Vol 28 (12) ◽  
pp. 1383-1401 ◽  
Author(s):  
G. Dassios ◽  
K. S. Karadima
Keyword(s):  
Acoustic Scattering ◽  
Anisotropic Media ◽  
Time Harmonic

scholarly journals Bayesian approach to inverse time-harmonic acoustic scattering with phaseless far-field data

2020 ◽  
Vol 36 (6) ◽  
pp. 065012
Author(s):  
Zhipeng Yang ◽  
Xinping Gui ◽  
Ju Ming ◽  
Guanghui Hu
Keyword(s):  
Bayesian Approach ◽  
Field Data ◽  
Acoustic Scattering ◽  
Far Field ◽  
Time Harmonic

scholarly journals AN APPROXIMATE BOUNDARY INTEGRAL METHOD FOR ACOUSTIC SCATTERING IN SHALLOW OCEANS

1993 ◽  
Vol 01 (01) ◽  
pp. 61-75 ◽  
Author(s):  
YONGZHI XU ◽  
YI YAN
Keyword(s):  
Integral Equation ◽  
Wave Scattering ◽  
Integral Method ◽  
Acoustic Scattering ◽  
Quadrature Rule ◽  
Boundary Integral ◽  
Boundary Integral Method ◽  
Acoustic Wave Scattering ◽  
Sea Bottom ◽  
Time Harmonic

The problem of a time-harmonic acoustic wave scattering from a cylindrical object in shallow oceans is solved by an approximate boundary integral method. In the method we employ a Green's function of the Helmholtz equation with sound soft sea level and sound hard sea bottom conditions, and reformulate the problem into a boundary integral equation on the surface of the scattering object. The kernel of the integral equation is given by an infinite series, and is approximated by an appropriate truncation. The integral equation is then fully discretized by applying a quadrature rule. The method has an O(N−3) rate of convergence. Various numerical examples are presented.

Time-Harmonic Acoustic Scattering in a Complex Flow: A Full Coupling Between Acoustics and Hydrodynamics

2012 ◽  
Vol 11 (2) ◽  
pp. 555-572 ◽  
Author(s):  
A.S.Bonnet-Ben Dhia ◽  
J.F. Mercier ◽  
F. Millot ◽  
S. Pernet ◽  
E. Peynaud
Keyword(s):  
Complex Geometry ◽  
Acoustic Scattering ◽  
Mathematical Framework ◽  
Perfectly Matched Layers ◽  
Mean Flow ◽  
Complex Flow ◽  
Numerical Result ◽  
Convection Equation ◽  
Time Harmonic ◽  
Artificial Boundaries

AbstractFor the numerical simulation of time harmonic acoustic scattering in a complex geometry, in presence of an arbitrary mean flow, the main difficulty is the coexistence and the coupling of two very different phenomena: acoustic propagation and convection of vortices. We consider a linearized formulation coupling an augmented Galbrun equation (for the perturbation of displacement) with a time harmonic convection equation (for the vortices). We first establish the well-posedness of this time harmonic convection equation in the appropriate mathematical framework. Then the complete problem, with Perfectly Matched Layers at the artificial boundaries, is proved to be coercive + compact, and a hybrid numerical method for the solution is proposed, coupling finite elements for the Galbrun equation and a Discontinuous Galerkin scheme for the convection equation. Finally a 2D numerical result shows the efficiency of the method.

scholarly journals Massively parallel structured multifrontal solver for time-harmonic elastic waves in 3-D anisotropic media

2012 ◽  
Vol 191 (1) ◽  
pp. 346-366 ◽  
Author(s):  
Shen Wang ◽  
Maarten V. de Hoop ◽  
Jianlin Xia ◽  
Xiaoye S. Li
Keyword(s):  
Elastic Waves ◽  
Anisotropic Media ◽  
Massively Parallel ◽  
Time Harmonic

scholarly journals Analogies between optical propagation and heat diffusion: applications to microcavities, gratings and cloaks

2015 ◽  
Vol 471 (2183) ◽  
pp. 20150143 ◽  
Author(s):  
C. Amra ◽  
D. Petiteau ◽  
M. Zerrad ◽  
S. Guenneau ◽  
G. Soriano ◽  
...  
Keyword(s):  
Heat Conduction ◽  
Diffraction Gratings ◽  
Anisotropic Media ◽  
Thermal Parameters ◽  
Heat Diffusion ◽  
Transformation Optics ◽  
Multilayered Structures ◽  
Optical Propagation ◽  
Time Harmonic ◽  
Detailed Derivation

A new analogy between optical propagation and heat diffusion in heterogeneous anisotropic media has been proposed recently by three of the present authors. A detailed derivation of this unconventional correspondence is presented and developed. In time harmonic regime, all thermal parameters are related to optical ones in artificial metallic media, thus making possible to use numerical codes developed for optics. Then, the optical admittance formalism is extended to heat conduction in multilayered structures. The concepts of planar microcavities, diffraction gratings and planar transformation optics for heat conduction are addressed. Results and limitations of the analogy are emphasized.

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