A Nonconforming DG Formulation for the Acoustic Conservation Laws (vor Ort)

* Presenting author
Day / Time: 24.03.2022, 10:40-11:00
Room: 9-0267
Typ: Vortrag (strukturierte Sitzung)
Online-access: Bitte loggen Sie sich ein, damit weitere Inhalte sichtbar werden (bspw. der Zugang zur Onlinesitzung).

At DAGA 2021, we presented a higher-order discontinuous Galerkin (DG) solver to compute the acoustic conservation laws in the time domain. It can apply velocities of vibrating materials as boundary conditions in each time step. This approach makes it possible to calculate any sound field originating from vibrating surfaces; this is especially true if vibrations are not harmonically. Utilizing assembly-free operator applications combined with the DG discretization, the solver renders memory efficient, fast and is perfectly suited for state-of-the-art hardware. In problems that contain different materials, the requirements of the element size may differ. Nonconforming interfaces exploit this property to effectively reduce the number of degrees of freedom without the need for strongly distorted elements. Therefore, their use can further increase the solver's efficiency while maintaining a highly accurate scheme for the before-mentioned problems. Within the talk, we provide a nonconforming high-order DG formulation for the acoustic conservation laws. We focus on some implementational details, the beauty of the DG method in this setting, accompanied by corresponding spatial convergence studies.



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