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- W2079254356 abstract "Although the theoretical formulation in terms of spherical harmonics for seismoacoustic propagation in spherically stratified, fluid/elastic media has been known for many decades, its numerical implementation is nontrivial. Thus, the limited machine precision is incapable of directly representing the dynamic range of the spherical harmonics throughout the stratification. The numerical solution for the expansion coefficients is therefore inherently unstable. However, this problem is equivalent to the numerical stability issue facing numerical implementation of the depth‐separated wave equation for plane‐stratified media. There, numerical stability has been obtained by properly factorizing the depth exponentials, and a number of stable algorithms are available. Here, an equivalent factorization of the spherical harmonics is described. The formulation is directly compatible with the global matrix approach used in the SAFARI plane‐stratified model, and this code has therefore been straightforwardly modified to provide unconditionally stable solutions for arbitrary fluid/elastic, spherical stratifications. The performance of the model is illustrated by a few numerical examples of relevance to structural acoustics." @default.
- W2079254356 created "2016-06-24" @default.
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- W2079254356 date "1993-10-01" @default.
- W2079254356 modified "2023-09-27" @default.
- W2079254356 title "Numerically stable global matrix approach to radiation and scattering from spherically stratified shells" @default.
- W2079254356 doi "https://doi.org/10.1121/1.407462" @default.
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