在这份报纸,一个明确的方法为波浪运动的数字模拟从 1D 和 2D 模型被概括到一个 3D 模型,并且相应递归公式为 3D 被开发不规则的格子。为一致立方的格子,过去常与 2M 顺序精确性建立稳定的公式的途径详细被讨论,与 M being 一个积极整数,并且被建立第二个顺序(M=1 ) 递归公式说明。在这份报纸介绍的理论结果通过数字测试被表明。
In this paper, an explicit method is generalized from 1D and 2D models to a 3D model for numerical simulation of wave motion, and the corresponding recursion formulas are developed for 3D irregular grids. For uniform cubic grids, the approach used to establish stable formulas with 2M-order accuracy is discussed in detail, with M being a positive integer, and is illustrated by establishing second order (M=1) recursion formulas. The theoretical results presented in this paper are demonstrated through numerical testing.