Quick simulations for iterative evaluations of multi-design variables and boundary conditions are essential to find the optimal acoustic conditions in building design. We propose to use the reduced basis method (RBM) for realistic room acoustic scenarios where the surfaces have inhomogeneous acoustic properties, which enables quick evaluations of changing absorption materials for different surfaces in room acoustic simulations. The RBM has shown its benefit to speed up room acoustic simulations by three orders of magnitude for uniform boundary conditions. This study investigates the RBM with two main focuses, 1) various source positions in diverse geometries, e.g., square, rectangular, L-shaped, and disproportionate room. 2) Inhomogeneous surface absorption in 2D and 3D by parameterizing numerous acoustic parameters of surfaces, e.g., the thickness of a porous material, cavity depth, switching between a frequency independent (e.g., hard surface) and frequency dependent boundary condition. Results of numerical experiments show speedups of more than two orders of magnitude compared to a high fidelity numerical solver in a 3D case where reverberation time varies within one just noticeable difference in all the frequency octave bands.

翻译：在多设计变量和边界条件的迭代评估中，快速模拟对于在建筑设计中寻找最优声学条件至关重要。我们提出将降基方法(RBM)应用于具有非均匀声学特性的真实房间声学场景，从而实现对不同表面吸声材料变化的快速评估。RBM已证明在均匀边界条件下可将房间声学模拟速度提升三个数量级。本研究重点探讨RBM的两个主要方面：(1) 不同几何形状（如正方形、矩形、L形及非比例房间）中多样声源位置的模拟；(2) 通过参数化表面声学参数（如多孔材料厚度、空腔深度、频率无关边界条件（如硬表面）与频率相关边界条件之间的切换）实现二维和三维非均匀表面吸声的建模。数值实验结果表明，在三维案例中，当所有倍频程频带的混响时间变化均处于一个恰可察觉差异内时，所提方法相比高保真数值求解器实现了超过两个数量级的加速比。