Performances of Various Types of Constrained Interpolation Profile Method for Two-Dimensional Numerical Acoustic Simulation

Abstract

To date, various types of constrained interpolation profile (CIP) analysis have been proposed. In this study, the authors first examined the calculation accuracy of two-dimensional (2-D) acoustic field analysis by the CIP-conservative semi-Lagrangian of the second-order (CIP-CSL2) method, in which values of the acoustic field and the integrals between two neighboring points are used, whereas the CIP method involves the use of the values of the acoustic field and their derivatives at grid points. The results obtained by the CIP-CSL2 method, type-M CIP method, and type-C CIP method were compared for a 2-D acoustic field. The results indicate that CIP-CSL2 analysis provides high accuracy of the same order as that of the type-C CIP method. We also investigated the run-time and memory required for this method.