Long-term stable acoustic absorbing boundary conditions for regular-shaped surfaces

Hélène Barucq 1, 2 Julien Diaz 2, 1 Véronique Duprat 1, 2
1 Magique 3D - Advanced 3D Numerical Modeling in Geophysics
LMAP - Laboratoire de Mathématiques et de leurs Applications [Pau], Inria Bordeaux - Sud-Ouest
Abstract : When dealing with regular shaped boundaries, the most widely used Absorbing Boundary Condition is a first-order condition including the curvature of the artificial surface. It is easy to include in variational numerical methods and it performs well. In this paper, we prove that this condition is equivalent to a second-order condition. Actually, we establish that it belongs to a one-parameter family of ABC that lead to well-posed and long-term stable problems. We then propose a 2D performance analysis of the different ABCS, including BGT-like conditions also and we conclude that the first-order condition is the one which performs better.
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Hélène Barucq, Julien Diaz, Véronique Duprat. Long-term stable acoustic absorbing boundary conditions for regular-shaped surfaces. [Research Report] RR-8203, INRIA. 2013, pp.34. ⟨hal-00776058⟩

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