Advances in Decision Sciences
Volume 5 (2001), Issue 3, Pages 165-180
doi:10.1155/S1173912601000190

Mathematical modelling of ultrasonic non-destructive evaluation

Larissa Ju. Fradkin1 , Victor Zalipaev2 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

Abstract

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.