Comparison of Discontinuous Galerkin Formulations for the Acoustic Conservation Laws
* Presenting author
Abstract:
Virtual reality (VR) aims to provide images and the accompanying soundscapes close to reality. In current VR scenarios using prerecorded audio is mostly preferred over rendering audio, partly because state-of-the-art models face problems to render high-quality audio in real-time on affordable hardware. The VRACE ETN aims to develop and improve such models. For testing of developed methods, it is crucial to compare their output with the physically expected solution. The propagation of waves is triggered by vibrating surfaces that might not oscillate harmonically. Thus, simulations have to be performed in the time domain.We present a solver of the acoustic conservation laws. It uses NGSolve as an underlying library and takes velocities of vibrating surfaces as boundary conditions in each time step. For the spatial discretization, discontinuous Galerkin (DG) methods are used due to their properties regarding efficiency and stability. For temporal discretization, we apply explicit time integration schemes. To get a fast and memory-efficient method we do not assemble a global system matrix but use assembly-free operator applications instead. In doing so, a comparison of different DG formulations regarding accuracy and stability is provided.