Sampedro Llopis, HermesEngsig-Karup, Allan P.Jeong, Cheol-HoPind, FinnurHesthaven, Jan S.2022-11-212022-11-212022-11-212022-08-0110.1121/10.0012696https://infoscience.epfl.ch/handle/20.500.14299/192401WOS:000874851200012The use of model-based numerical simulations of wave propagation in rooms for engineering applications requires that acoustic conditions for multiple parameters are evaluated iteratively, which is computationally expensive. We present a reduced basis method (RBM) to achieve a computational cost reduction relative to a traditional full-order model (FOM) for wave-based room acoustic simulations with parametrized boundaries. The FOM solver is based on the spectral-element method; however, other numerical methods could be applied. The RBM reduces the computational burden by solving the problem in a low-dimensional subspace for parametrized frequency-independent and frequency-dependent boundary conditions. The problem is formulated in the Laplace domain, which ensures the stability of the reduced-order model (ROM). We study the potential of the proposed RBM in terms of computational efficiency, accuracy, and storage requirements, and we show that the RBM leads to 100-fold speedups for a two-dimensional case and 1000-fold speedups for a three-dimensional case with an upper frequency of 2 and 1kHz, respectively. While the FOM simulations needed to construct the ROM are expensive, we demonstrate that the ROM has the potential of being 3 orders of magnitude faster than the FOM when four different boundary conditions are simulated per room surface.AcousticsAudiology & Speech-Language Pathologyposteriori error estimationtime-domain simulationmodel order reductionelement methodapproximationstabilizationpropagationinversionsystemsReduced basis methods for numerical room acoustic simulations with parametrized boundariestext::journal::journal article::research article