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An automatic PML for acoustic finite element simulations with generally-shaped convex domains

Hadrien Beriot 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 : We address the efficient finite element solution of exterior acoustic problems with truncated computational domains surrounded by perfectly matched layers (PMLs). The PML is a popular non-reflecting technique, which combines accuracy, computational efficiency and geometric flexibility. Unfortunately, the effective implementation of the PML for generally-shaped convex domains 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 called 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 effective implementation relies on a simple modification of the Jacobian matrix in the element-wise integrals. The AML implementation is validated and compared to other implementation strategies using numerical benchmarks in two and three dimensions, considering computational domains with regular and non-regular 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.
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https://hal.archives-ouvertes.fr/hal-02738261
Contributor : Axel Modave <>
Submitted on : Tuesday, June 2, 2020 - 8:39:01 PM
Last modification on : Wednesday, June 17, 2020 - 2:55:21 PM

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  • HAL Id : hal-02738261, version 1

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Hadrien Beriot, Axel Modave. An automatic PML for acoustic finite element simulations with generally-shaped convex domains. 2020. ⟨hal-02738261⟩

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