A Consideration of Multi-Dimensional Simulation of Nonlinear Acoustic Wave Propagation Using the CIP Method

Abstract

In this study, numerical simulation of nonlinear sound wave propagation in a time domain is demonstrated using the Constrained Interpolation Profile/ Cubic-Interpolated Pseudo-particle (CIP) method. That novel numerical scheme proposed by Yabe, et al., is a method of characteristics (MOC) and a low-dispersion and stable scheme. Actually, CIP method is suitable for analyses of nonlinear wave propagation including weak shock formation because a rapid pressure change such as a shock front easily causes numerical dispersion error in a conventional numerical scheme. Some of the authors have reported application of CIP method to one-dimensional nonlinear sound wave propagation in air. Furthermore, we demonstrate some numerical calculations of nonlinear sound wave propagation for a two-dimensional acoustic field.