By Tetsuya Sakuma, Shinichi Sakamoto, Toru Otsuru
This booklet studies quite a few equipment for wave-based acoustic simulation and up to date purposes to architectural and environmental acoustic problems.
Following an creation offering an outline of computational simulation of sound surroundings, the ebook is in components: 4 chapters on equipment and 4 chapters on purposes. the 1st half explains the basics and complicated strategies for 3 renowned tools, particularly, the finite-difference time-domain strategy, the finite point process, and the boundary point process, in addition to substitute time-domain tools. the second one half demonstrates numerous functions to room acoustics simulation, noise propagation simulation, acoustic estate simulation for development elements, and auralization.
This ebook is a important reference that covers the state-of-the-art in computational simulation for architectural and environmental acoustics.
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Extra resources for Computational Simulation in Architectural and Environmental Acoustics: Methods and Applications of Wave-Based Computation
The averaged shear modulus as shown in Eq. 86) becomes zero and then the shear stress defined in the free surface becomes zero. Although the normal stress to the boundary surface must be zero as a matter of course, the reference points of normal stress, which should be zero, are not arranged on the boundary. Therefore, virtual reference points are assumed outside the boundary, and their values are determined such that the mean normal stresses on the boundary are zero. 90) Tx x (I, j, k) + Tx x (I + 1, j, k) = 0.
J. Sound Vib. 316, 234–247 (2008) 6. H. Suzuki, A. Omoto, K. Fujiwara, Treatment of boundary conditions by finite difference time domain method. Acoust. Sci. Tech. 28(1), 16–26 (2007) 7. T. Deveze, L. Beaulieu, W. Tabbara, A forth order scheme for the FDTD algorithm applied to Maxwell’s equations. IEEE Trans. Antennas Propag. 42, 859–862 (1994) 8. F. Hadi, M. L. , A modified FDTD (2,4) scheme for modeling electrically large structures with high phase accuracy. IEEE Trans. Antennas Propag. 45, 254–264 (1997) 9.
For the estimation of the compact difference, α of inner interval (2 ≤ i ≤ n − 2) is set to be the optimum value for the frequency range below 6 PPW. For the evaluation of differentiation on the grid points next to the boundary (i = 1, n −1), α is set to be 1/22. 88. The error is the largest on each boundary grid point i = 0, n. We evaluate the maximum absolute value of amplitude error on the boundary grid 30 S. Sakamoto et al. 2 1 Fig. 15 Distribution of the absolute value of relative amplitude error on the grid with 60 points.