Numerical geometric acoustics: an eikonal-based approach for modeling sound propagation in 3D environments

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• Samuel Potter (Courant Institute of Mathematical Sciences)
• Thursday 20 April 2023, 09:00-09:45
• Seminar Room 1, Newton Institute.

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The jet marching method (JMM) is an enhanced version of the fast marching method for solving the eikonal equation which is compact and second or third order accurate, depending on the speed of sound. We present a new JMM for solving the eikonal equation on an unstructured tetrahedron mesh conforming to a nonconvex domain with polyhedral facets, such as might arise in computational room acoustics. With his unstructured JMM forming a numerical kernel, we present a suite of algorithms used to propagate high-frequency geometric optic waves in 3D environments, including reflected and edge-diffracted waves. Using this approach, for given boundary conditions (such as a point source) we can recursively build a tree of solutions to the eikonal and associated transport equations stemming from the high-frequency approximation of the Helmholtz equation. We present ample numerical experiments illustrating our method.

This talk is part of the Isaac Newton Institute Seminar Series series.

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