Abstract:The 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 … Show more
“…Anti-aliasing techniques could be employed to reduce the error further (Engsig-Karup et al, 2016; Kirby and Karniadakis, 2003) or the use of cubature formulas to evaluate the inner products (Hesthaven and Warburton, 2008). However, in practical room acoustics simulations, error levels below 10 −7 are rarely needed, with the actual error requirements being around 5 × 10 −3 to 2 × 10 −2 (Sampedro Llopis et al (2022)), and, furthermore, such techniques increase the computational cost of the scheme. Figure 5.Log–log plots showing the h convergence for the cylinder geometry using either affine or curvilinear meshes.…”
Section: Numerical Experimentsmentioning
confidence: 99%
“…High-order methods result in better accuracy-per-computational-cost and they have the potential to significantly reduce the runtime of simulations and are a must for having good accuracy in wave propagation problems over long integration times (Kreiss and Oliger, 1972). Recent development has also looked at utilizing higher-order methods along with reduced order modeling to reduce computational cost (Sampedro Llopis et al, 2022). The nodal DGFEM is particularly well suited for room acoustic simulations, because it combines the attractive features of geometric flexibility, high-order accuracy, suitability for parallel computing, and lean memory usage.…”
We present a massively parallel and scalable nodal discontinuous Galerkin finite element method (DGFEM) solver for the time-domain linearized acoustic wave equations. The solver is implemented using the libParanumal finite element framework with extensions to handle curvilinear geometries and frequency dependent boundary conditions of relevance in practical room acoustics. The implementation is benchmarked on heterogeneous multi-device many-core computing architectures, and high performance and scalability are demonstrated for a problem that is considered expensive to solve in practical applications. In a benchmark study, scaling tests show that multi-GPU support gives the ability to simulate large rooms, over a broad frequency range, with realistic boundary conditions, both in terms of computing time and memory requirements. Furthermore, numerical simulations on two non-trivial geometries are presented, a star-shaped room with a dome and an auditorium. Overall, this shows the viability of using a multi-device accelerated DGFEM solver to enable realistic large-scale wave-based room acoustics simulations.
“…Anti-aliasing techniques could be employed to reduce the error further (Engsig-Karup et al, 2016; Kirby and Karniadakis, 2003) or the use of cubature formulas to evaluate the inner products (Hesthaven and Warburton, 2008). However, in practical room acoustics simulations, error levels below 10 −7 are rarely needed, with the actual error requirements being around 5 × 10 −3 to 2 × 10 −2 (Sampedro Llopis et al (2022)), and, furthermore, such techniques increase the computational cost of the scheme. Figure 5.Log–log plots showing the h convergence for the cylinder geometry using either affine or curvilinear meshes.…”
Section: Numerical Experimentsmentioning
confidence: 99%
“…High-order methods result in better accuracy-per-computational-cost and they have the potential to significantly reduce the runtime of simulations and are a must for having good accuracy in wave propagation problems over long integration times (Kreiss and Oliger, 1972). Recent development has also looked at utilizing higher-order methods along with reduced order modeling to reduce computational cost (Sampedro Llopis et al, 2022). The nodal DGFEM is particularly well suited for room acoustic simulations, because it combines the attractive features of geometric flexibility, high-order accuracy, suitability for parallel computing, and lean memory usage.…”
We present a massively parallel and scalable nodal discontinuous Galerkin finite element method (DGFEM) solver for the time-domain linearized acoustic wave equations. The solver is implemented using the libParanumal finite element framework with extensions to handle curvilinear geometries and frequency dependent boundary conditions of relevance in practical room acoustics. The implementation is benchmarked on heterogeneous multi-device many-core computing architectures, and high performance and scalability are demonstrated for a problem that is considered expensive to solve in practical applications. In a benchmark study, scaling tests show that multi-GPU support gives the ability to simulate large rooms, over a broad frequency range, with realistic boundary conditions, both in terms of computing time and memory requirements. Furthermore, numerical simulations on two non-trivial geometries are presented, a star-shaped room with a dome and an auditorium. Overall, this shows the viability of using a multi-device accelerated DGFEM solver to enable realistic large-scale wave-based room acoustics simulations.
“…Sampedro Llopis et al [106] developed a method to explore the parameter space based on a reduced basis of a spectral element method formulated in the Laplace domain. Using Weeks' method [107] they computed room impulse responses, and found good agreement with time-domain solutions and full-order method solutions.…”
Section: Reduced Basismentioning
confidence: 99%
“…Model order reduction techniques are also a promising avenue for more efficient room acoustics simulations, as demonstrated in Ref. [106]. Another area of possible exploration is the use of low-order elements with dispersion reduction techniques.…”
Accurate predictions of the wave-dominated region of an acoustic field in a room can be generated using wave-based computational methods. One such method is the finite element method (FEM). With presently available computing power and advanced numerical techniques, it is possible to obtain FEM predictions of sound fields in rooms with complicated geometries and complex boundary conditions in realistic time frames. The FEM has been continuously developed since its inception and attempts to provide solutions in real time using finite element-based methods are beginning to appear in the literature; these developments are especially interesting for auralization and virtual acoustics applications. To support these efforts, and provide a resource for neophytes, the use of the FEM for room acoustics is reviewed in this article. A history is presented alongside examples of the method’s derivation, implementation, and solutions. The current challenges and state-of-the-art are also presented, and it is found that the most recent contributions to the field make use of one or a mixture of the following: the finite element-based discontinuous Galerkin method, extended reaction boundary conditions written in the frequency domain but solved in the time domain, and the solution of large-scale models using parallel processing and graphics processing units.
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