Journal of Applied Mathematics and Decision Sciences
Volume 5 (2001), Issue 3, Pages 165-180

Mathematical modelling of ultrasonic non-destructive evaluation

Larissa Ju Fradkin,1 Victor Zalipaev,2 and Dmitri Gridin1

1Centre for Waves and Fields, School of EEIE, South Bank University, London SE1 OAA, UK
2Department of Mathematical Sciences, University of Liverpool, M&O Building, Peach Street, Liverpool L69 7ZL, UK

Copyright © 2001 Larissa Ju Fradkin et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


High-frequency asymptotics have been used at our Centre to develop codes for modelling pulse propagation and scattering in the near-field of the ultrasonic transducers used in NDE (Non-Destructive Evaluation), particularly of walls of nuclear reactors. The codes are hundreds of times faster than the direct numerical codes but no less accurate.