μ-diff: An open-source Matlab toolbox for computing multiple scattering problems by disks

Bertrand Thierry

doi:10.1016/j.cpc.2015.03.013

μ-diff: An open-source Matlab toolbox for computing multiple scattering problems by disks

2015-07-01

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DOI：10.1016/j.cpc.2015.03.013

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The aim of this paper is to describe a Matlab toolbox, called mu-diff, for modeling and numerically solving two-dimensional complex multiple scattering by a large collection of circular cylinders. The approximation methods in mu-diff are based on the Fourier series expansions of the four basic integral operators arising in scattering theory. Based on these expressions, an efficient spectrally accurate finite-dimensional solution of multiple scattering problems can be simply obtained for complex media even when many scatterers are considered as well as large frequencies. The solution of the global linear system to solve can use either direct solvers or preconditioned iterative Krylov subspace solvers for block Toeplitz matrices. Based on this approach, this paper explains how the code is built and organized. Some complete numerical examples of applications (direct and inverse scattering) are provided to show that mu-diff is a flexible, efficient and robust toolbox for solving some complex multiple scattering problems. Program summary Program title: mu-diff Catalogue identifier: AEWH_v1_0 Program summary URL: http://cpc.cs.qub.ac.uk/summaries/AEWH_v1_0.html Program obtainable from: CPC Program Library, Queen's University, Belfast, N. Ireland Licensing provisions: Standard CPC licence, http://cpc.cs.qub.ac.uk/licence/licence.html No. of lines in distributed program, including test data, etc.: 13,718 No. of bytes in distributed program, including test data, etc.: 1,466,301 Distribution format: tar.gz Programming language: Matlab. Computer: PC, Mac. Operating system: Windows, Mac OS, Linux. Has the code been vectorized or parallelized?: Yes RAM: 2000 Megabytes Classification: 4.6, 10, 18. Nature of problem: Modeling and simulation of two-dimensional multiple wave scattering by large clusters of circular cylinders for any frequency. The program is well-designed to manage highly accurate solutions for deterministic or random media, with various boundary conditions and physics properties of the scatterers. Pre- and post-processing facilities are designed specifically for these problems. Solution method: We use spectral Fourier approximation schemes and direct or iterative Krylov subspace methods. Running time: From a few seconds for simple problems to a few minutes for more complex situations on a medium computer. (C) 2015 Elsevier B.V. All rights reserved.

Keyword:

Multiple scattering

Wave propagation

Acoustics

Electromagnetism

Optics

Computational methods

Numerical simulation

Spectral method

μ-diff: An open-source Matlab toolbox for computing multiple scattering problems by disks

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