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A Monitor Function for Spectral Moving Mesh Methods Applied to Nonlinear Acoustics

Wise, ES; Cox, BT; Treeby, BE; (2015) A Monitor Function for Spectral Moving Mesh Methods Applied to Nonlinear Acoustics. In: BlancBenon, P and Sparrow, VW and Dragna, D, (eds.) AIP Conference Proceedings , Volume 1685, Issue 1. (pp. 070009). AIP Conference Proceedings Green open access

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Abstract

Spectral methods have made linear acoustics simulations highly computationally efficient, but they currently lose their efficiency when modelling nonlinear waves with regular grids. Moving mesh methods can address this by distributing mesh nodes to minimise the number of nodes needed to represent a waveform. In this paper, a monitor function is presented which is designed specifically for spectral moving mesh methods. In comparison with past monitor functions, this new monitor function significantly improves the convergence rate of the spectral moving mesh method when applied to Burgers’ equation.

Type: Proceedings paper
Title: A Monitor Function for Spectral Moving Mesh Methods Applied to Nonlinear Acoustics
Event: 20th International Symposium on Nonlinear Acoustics (ISNA) including the 2nd International Sonic Boom Forum (ISBF)
Location: Ecole Centrale Lyon, Lyon, FRANCE
Dates: 29 June 2015 - 03 July 2015
Open access status: An open access version is available from UCL Discovery
DOI: 10.1063/1.4934446
Publisher version: https://doi.org/10.1063/1.4934446
Language: English
Additional information: This version is the author accepted manuscript. For information on re-use, please refer to the publisher’s terms and conditions.
Keywords: Science & Technology, Technology, Physical Sciences, Acoustics, Physics, Applied, Physics
UCL classification: UCL
UCL > Provost and Vice Provost Offices > UCL BEAMS
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science > Dept of Med Phys and Biomedical Eng
URI: https://discovery.ucl.ac.uk/id/eprint/10113892
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