No Access

THE USE OF TESSELLATION IN THREE-DIMENSIONAL PARABOLIC EQUATION MODELING

MELANIE E. AUSTIN

JASCO Applied Sciences, 2101-4464 Markham St, Victoria, BC, Canada V8Z 7X8, Canada

Search for more papers by this author

and

N. ROSS CHAPMAN

School of Earth and Ocean Science, University of Victoria, Victoria, BC, Canada V8W 3V6, Canada

Search for more papers by this author

https://doi.org/10.1142/S0218396X11004328Cited by:16 (Source: Crossref)

Abstract

A full three-dimensional parabolic equation model (MONM3D) has been developed that incorporates techniques that reduce the required number of model grid points and reduces computation time. The concept of tessellation is implemented in MONM3D, which allows the number of radial paths in the model grid to vary with range from the source, reducing the number of computational points in the horizontal plane. This design establishes a grid layout that is both numerically and computationally desirable. A benchmark test case is used to illustrate the accuracy and efficiency of the model.

Keywords:

References

F. B. Jensen and C. M. Ferla, J. Acoust. Soc. Amer. 87, 1499 (1990), DOI: 10.1121/1.399448. Crossref, Web of Science, Google Scholar
G. H. Brooke, D. J. Thomson and G. R. Ebbeson, J. Comp. Acoust. 9, 69 (2001), DOI: 10.1016/S0218-396X(01)00042-5. Link, Web of Science, Google Scholar
J. A. Fawcett, J. Acoust. Soc. Amer. 93, 2627 (1993), DOI: 10.1121/1.405836. Crossref, Web of Science, Google Scholar
F. D. Tappert, Wave Propagation and Underwater Acoustics, Lecture Notes in Physics 70, eds. J. B. Keller and J. S. Papadakis (Springer-Verlag, New York, 1977) pp. 224–287. Crossref, Google Scholar
M. D. Collins, J. Acoust. Soc. Amer. 93, 1736 (1993), DOI: 10.1121/1.406739. Crossref, Web of Science, Google Scholar
M. D. Collins and S. A. Ching-Bing, J. Acoust. Soc. Amer. 83, 1104 (1990). Google Scholar
F. Sturm, J. Acoust. Soc. Amer. 117, 1058 (2005), DOI: 10.1121/1.1855791. Crossref, Web of Science, Google Scholar
K. B. Smith, J. Comp. Acoust. 9, 243 (2001), DOI: 10.1016/S0218-396X(01)00040-1. Link, Web of Science, Google Scholar
M. D. Collinset al., J. Acoust. Soc. Amer. 100, 178 (1996), DOI: 10.1121/1.415921. Crossref, Web of Science, Google Scholar
M. D. Collins, User's guide for RAM versions 1.0 and 1.0 p. Naval Research Lab, Washington, DC (1995) . Google Scholar
M. D. Collins, J. Acoust. Soc. Amer. 89, 1050 (1991), DOI: 10.1121/1.400646. Crossref, Web of Science, Google Scholar
M. D. Collins and R. B. Evans, J. Acoust. Soc. Amer. 91, 1357 (1992), DOI: 10.1121/1.402465. Crossref, Web of Science, Google Scholar
F. Sturm and J. Fawcett, J. Acoust. Soc. Amer. 113, 3134 (2003), DOI: 10.1121/1.1572138. Crossref, Web of Science, Google Scholar
C. E. Shannon, Communication in the presence of noise, Proc. IEEE 72 (1984) 1192. Reprinted from Proc. Institute Radio Engineers 37 (1949) 10 . Google Scholar
J. M. Hovem, (sin x)/x interpolation of sampled signals, Technical Report No 196, North Atlantic Treaty Organization Saclant ASW Research Centre, La Spezia, Italy (1971), 22 pp . Google Scholar
K. B. Smith, J. Acoust. Soc. Amer. 106, 3231 (1999), DOI: 10.1121/1.428177. Crossref, Web of Science, Google Scholar
D. Yevick and D. J. Thomson, J. Acoust. Soc. Amer. 107, 1226 (2000), DOI: 10.1121/1.428412. Crossref, Web of Science, Google Scholar