HAL will be down for maintenance from Friday, June 10 at 4pm through Monday, June 13 at 9am. More information
Skip to Main content Skip to Navigation
Journal articles

An automatic PML for acoustic finite element simulations in convex domains of general shape

Hadrien Bériot 1 Axel Modave 2
2 POEMS - Propagation des Ondes : Étude Mathématique et Simulation
CNRS - Centre National de la Recherche Scientifique : UMR7231, UMA - Unité de Mathématiques Appliquées, Inria Saclay - Ile de France
Abstract : This article addresses the efficient finite element solution of exterior acoustic problems with truncated computational domains surrounded by perfectly matched layers (PMLs). The PML is a popular nonreflecting technique that combines accuracy, computational efficiency, and geometric flexibility. Unfortunately, the effective implementation of the PML for convex domains of general shape is tricky because of the geometric parameters that are required to define the PML medium. In this work, a comprehensive implementation strategy is proposed. This approach, which we call the automatically matched layer (AML) implementation, is versatile and fully automatic for the end‐user. With the AML approach, the mesh of the layer is extruded, the required geometric parameters are automatically obtained during the extrusion step, and the practical implementation relies on a simple modification of the Jacobian matrix in the elementwise integrals. The AML implementation is validated and compared with other implementation strategies using numerical benchmarks in two and three dimensions, considering computational domains with regular and nonregular boundaries. A three‐dimensional application with a generally shaped domain generated using a convex hull is proposed to illustrate the interest of the AML approach for realistic industrial cases.
Complete list of metadata

https://hal.archives-ouvertes.fr/hal-02738261
Contributor : Axel Modave Connect in order to contact the contributor
Submitted on : Thursday, December 3, 2020 - 11:07:06 AM
Last modification on : Wednesday, May 11, 2022 - 12:06:05 PM

File

paperAML_preprint.pdf
Files produced by the author(s)

Identifiers

Citation

Hadrien Bériot, Axel Modave. An automatic PML for acoustic finite element simulations in convex domains of general shape. International Journal for Numerical Methods in Engineering, Wiley, 2021, 122 (5), pp.1239-1261. ⟨10.1002/nme.6560⟩. ⟨hal-02738261v2⟩

Share

Metrics

Record views

275

Files downloads

64