Radial Basis Function Methods For Large-Scale Wave Propagation

Author(s): Jun-Pu Li and Qing-Hua Qin

DOI: 10.2174/9781681088983121010011

Recent Advances and Emerging Applications of the Radial Basis Function Method for Simulation of Large-Scale and High-Frequency Sound Wave Propagation

Pp: 135-150 (16)

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Abstract

SHS investigation development is considered from the geographical and historical viewpoint. 3 stages are described. Within Stage 1 the work was carried out in the Department of the Institute of Chemical Physics in Chernogolovka where the scientific discovery had been made. At Stage 2 the interest to SHS arose in different cities and towns of the former USSR. Within Stage 3 SHS entered the international scene. Now SHS processes and products are being studied in more than 50 countries.

Abstract

With the rapid development of computer technology, numerical simulation has become the third scientific research tool besides theoretical analysis and experimental research. As the core of numerical simulation, the construction of efficient, accurate and stable numerical methods to simulate complex scientific and engineering problems have become a key issue in the field of computational mechanics. This chapter outlines the application of the radial basis function method for the simulation of large-scale and high-frequency sound wave propagation. All the techniques and methods discussed in the book are reviewed in this chapter. This collection can provide a reference for the simulation of other more complex wave propagation.

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