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Article Dans Une Revue International Journal for Numerical Methods in Engineering Année : 2020

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

Hadrien Beriot
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Résumé

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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Dates et versions

hal-02738261 , version 1 (02-06-2020)
hal-02738261 , version 2 (03-12-2020)

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Hadrien Beriot, Axel Modave. An automatic PML for acoustic finite element simulations in convex domains of general shape. International Journal for Numerical Methods in Engineering, In press, ⟨10.1002/nme.6560⟩. ⟨hal-02738261v1⟩
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