A simple model to validate effective waves in random particulate media: radial symmetry
(2023) In Royal Society of London. Proceedings A. Mathematical, Physical and Engineering Sciences 479(2279).- Abstract
- There has not been a satisfying numerical validation of the theory of effective waves in random particulate materials. Validation has been challenging because the theoretical methods for effective waves have been limited to random particulate media in infinite slabs or half-spaces, which require a very large number of particles to perform accurate numerical simulations. This paper offers a solution by providing, from first principles, a method to calculate effective waves for a sphere filled with particles for a spherically symmetric incident wave. We show that this case can excite exactly the same effective wavenumbers, which are the most important feature to validate for effective waves. To check correctness, we also deduce an integral... (More)
- There has not been a satisfying numerical validation of the theory of effective waves in random particulate materials. Validation has been challenging because the theoretical methods for effective waves have been limited to random particulate media in infinite slabs or half-spaces, which require a very large number of particles to perform accurate numerical simulations. This paper offers a solution by providing, from first principles, a method to calculate effective waves for a sphere filled with particles for a spherically symmetric incident wave. We show that this case can excite exactly the same effective wavenumbers, which are the most important feature to validate for effective waves. To check correctness, we also deduce an integral equation method which does not assume the effective wave solution. Our methods are, in principal, valid for any frequency, particle volume fraction and disordered pair-correlation. With the methods we provide, it is now possible to validate, with a heavier Monte Carlo simulation, the predictions from effective wave theory. (Less)
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/49fd75bd-c3ce-4f75-8a6a-e2b4ebd4ad32
- author
- Gower, Artur ; Hawkins, Stuart and Kristensson, Gerhard LU
- organization
- publishing date
- 2023
- type
- Contribution to journal
- publication status
- published
- subject
- in
- Royal Society of London. Proceedings A. Mathematical, Physical and Engineering Sciences
- volume
- 479
- issue
- 2279
- publisher
- Royal Society Publishing
- external identifiers
-
- scopus:85178428499
- ISSN
- 1364-5021
- DOI
- 10.1098/rspa.2023.0444
- language
- English
- LU publication?
- yes
- id
- 49fd75bd-c3ce-4f75-8a6a-e2b4ebd4ad32
- date added to LUP
- 2023-06-20 16:03:06
- date last changed
- 2023-12-29 13:55:57
@article{49fd75bd-c3ce-4f75-8a6a-e2b4ebd4ad32,
abstract = {{There has not been a satisfying numerical validation of the theory of effective waves in random particulate materials. Validation has been challenging because the theoretical methods for effective waves have been limited to random particulate media in infinite slabs or half-spaces, which require a very large number of particles to perform accurate numerical simulations. This paper offers a solution by providing, from first principles, a method to calculate effective waves for a sphere filled with particles for a spherically symmetric incident wave. We show that this case can excite exactly the same effective wavenumbers, which are the most important feature to validate for effective waves. To check correctness, we also deduce an integral equation method which does not assume the effective wave solution. Our methods are, in principal, valid for any frequency, particle volume fraction and disordered pair-correlation. With the methods we provide, it is now possible to validate, with a heavier Monte Carlo simulation, the predictions from effective wave theory.}},
author = {{Gower, Artur and Hawkins, Stuart and Kristensson, Gerhard}},
issn = {{1364-5021}},
language = {{eng}},
number = {{2279}},
publisher = {{Royal Society Publishing}},
series = {{Royal Society of London. Proceedings A. Mathematical, Physical and Engineering Sciences}},
title = {{A simple model to validate effective waves in random particulate media: radial symmetry}},
url = {{http://dx.doi.org/10.1098/rspa.2023.0444}},
doi = {{10.1098/rspa.2023.0444}},
volume = {{479}},
year = {{2023}},
}