Heinz, J., & Kaltenbacher, M. (2022). A non-conforming and overlapping DG formulation for the acoustic conservation equations. In Proceedings of 24th International Congress on Acoustics - ICA 2022 (pp. 1–8). http://hdl.handle.net/20.500.12708/176710
High-order discontinuous Galerkin (DG) methods are ideally suited to solve the acoustic conservation equations in the time domain. To compute, e.g., the acoustic field originating from a ventilator, it is common to use two mesh regions. One of the regions rotates while the other one stays fixed. To solve this kind of problems, we need implementations that can deal with non-conformities at mesh interfaces. If elements do not precisely represent the geometry, i.e., by using non-uniform rational B-splines, it is not sufficient to utilize non-conforming interfaces alone. Within this work, we show that Nitsches’ idea — which is commonly used at non-conforming interfaces — can be applied for overlapping elements straightforward. Instead of using complex element cut algorithms, we directly use element faces at non-conforming transitions as integration domains. To counteract aliasing, we use over-integration to generate a stable method.
