ACOUSTICAL FINITE-DIFFERENCE TIME-DOMAIN SIMULATION IN A QUASI-CARTESIAN GRID
ACOUSTICAL FINITE-DIFFERENCE TIME-DOMAIN SIMULATION IN A QUASI-CARTESIAN GRID
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DOI：
10.1121/1.409866
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发表时间：
1994-05-01
影响因子：
2.4
通讯作者：
BOTTELDOOREN, D
中科院分区：
文献类型：
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作者：
BOTTELDOOREN, D
时域有限差分(FDTD)近似可用于数值求解声场问题。主要是因为它是一种时域方法，它有一些特定的优点。FDTD方法的基本公式使用分析网格来离散化未知场。这是一个主要的劣势。本文推导了允许使用非均匀网格的FDTD方程。使用此网格，可以更轻松地描述倾斜和弯曲的边界。在许多情况下，这样可以更准确地确定CPU-资源比率。本文重点研究了新公式及其精度。没有解决在一般情况下自动生成网格的问题。将拟笛卡尔网格的模拟结果与笛卡尔网格的模拟结果进行了比较。
The finite-difference time-domain (FDTD) approximation can be used to solve acoustical field problems numerically. Mainly because it is a time-domain method, it has some specific advantages. The basic formulation of the FDTD method uses an analytical grid for the discretization of an unknown field. This is a major disadvantage. In this paper, FDTD equations that allow us to use a nonuniform grid are derived. With this grid, tilted and curved boundaries can be described more easily. This gives a better accuracy to CPU-resource ratio in a number of circumstances. The paper focuses on the new formulation and its accuracy. The problem of automatically generating the mesh in a general situation is not addressed. Simulations using quasi-Cartesian grids are compared to Cartesian grid results.