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
As an extension of the methods presented in Chapter 2, this chapter takes acoustic problems as the physical background to apply the singular boundary method to the three-dimensional Helmholtz equation. Based on the Burton-Miller formulations, the Burton-Miller singular boundary method is constructed to deal with the non-uniqueness difficulties at resonance frequency. Two seta of origin intensity factors based on the subtraction and adding-back technique are derived. In addition, for efficient evaluation of near-boundary and boundary solutions of the Helmholtz equation with wideband wavenumbers, this chapter proposes a regularized singular boundary method and derives a set of near intensity factors based on the subtraction and adding-back technique.
Keywords:
Singular boundary method, Sound wave propagation, Origin intensity factor, Near intensity factor.
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Authors:Bentham Science Books