Time-domain impedance boundary condition modeling with the discontinuous Galerkin method for room acoustics simulations.
Time-domain impedance boundary condition modeling with the discontinuous Galerkin method for room acoustics simulations.
复制标题
使用间断伽辽金方法进行时域阻抗边界条件建模，用于室内声学仿真。
DOI：
10.1121/10.0001128
复制
发表时间：
2020
期刊：
影响因子：
--
通讯作者：
M. Hornikx
中科院分区：
文献类型：
--
作者：
Huiqing Wang;M. Hornikx
时域节点不连续伽辽金 (TD-DG) 方法正在成为一种潜在的基于波的三维 (3D) 室内声学建模方法，其中低频范围内的高阶精度、几何灵活性和边界条件的精确建模至关重要。本文提出了 TD-DG 方法框架中局部反应表面的宽带时域阻抗边界条件 (TDIBC) 的公式。该公式基于使用模板有理函数之和在频域中法向入射的平面波反射系数的近似，可以直接变换到时域。 TDIBC与间断Galerkin离散化的耦合是通过边界上风通量的特征波来实现的，其中一系列一阶辅助微分方程以高阶方式进行时间积分。为了验证该公式的性能，对单反射场景进行了各种数值测试，以证明高阶基函数的成本效率和内存效率，其中提出了用于室内声学目的的刚性背衬玻璃棉挡板的阻抗边界的 3D 应用。
The time-domain nodal discontinuous Galerkin (TD-DG) method is emerging as a potential wave-based method for three-dimensional (3D) room acoustics modeling, where high-order accuracy in the low frequency range, geometrical flexibility, and accurate modeling of boundary conditions are of critical importance. This paper presents a formulation of broadband time-domain impedance boundary conditions (TDIBCs) of locally-reacting surfaces in the framework of the TD-DG method. The formulation is based on the approximation of the plane-wave reflection coefficient at normal incidence in the frequency domain using a sum of template rational functions, which can be directly transformed to the time-domain. The coupling of the TDIBCs with the discontinuous Galerkin discretization is achieved through the characteristic waves of the upwind flux along the boundary, where a series of first-order auxiliary differential equations is time-integrated in a high-order way. To verify the performance of the formulation, various numerical tests of single reflection scenarios are shown to demonstrate the cost efficiency and memory-efficiency of high-order basis functions, among which a 3D application to an impedance boundary of rigidly backed glass-wool baffle for room acoustic purposes is presented.
影响因子：
0.7
作者：
S. Sakamoto;Hiroshi Nagatomo;A. Ushiyama;H. Tachibana
通讯作者：
S. Sakamoto;Hiroshi Nagatomo;A. Ushiyama;H. Tachibana
DOI：
10.1002/nme.2579
发表时间：
2009-09-10
影响因子：
2.9
作者：
Geuzaine, Christophe;Remacle, Jean-Francois
通讯作者：
Remacle, Jean-Francois