时域有限差分法
离散化
渲染(计算机图形)
计算机科学
体素
标量(数学)
边值问题
有限差分法
室内声学
声学
计算科学
数学
算法
数学分析
光学
几何学
计算机图形学(图像)
物理
人工智能
混响
标识
DOI:10.35848/1347-4065/ac5426
摘要
Abstract This is a tutorial paper on the basics and applications of the finite-difference time-domain (FDTD) method. Two types of discretization of the linear governing equations, the scalar-type FDTD method and the vector-type one, are first discussed. Then the basic concept of the compact explicit-FDTD (CE-FDTD) method is described. By considering the relationship between the cutoff frequency and the computer resources, it is shown that the interpolated wide band scheme requires the least computer resources among the derivative schemes of the CE-FDTD method. The discretization of the arbitrary shaped sound field by voxels and its boundary conditions, and the implementation of the density variation are also described. The sound field rendering and its real time renderer “Silicon concert hall” are introduced.
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