Picture water droplets

Developing mathematical theories of the physical world: Open Access research on fluid dynamics from Strathclyde

Strathprints makes available Open Access scholarly outputs by Strathclyde's Department of Mathematics & Statistics, where continuum mechanics and industrial mathematics is a specialism. Such research seeks to understand fluid dynamics, among many other related areas such as liquid crystals and droplet evaporation.

The Department of Mathematics & Statistics also demonstrates expertise in population modelling & epidemiology, stochastic analysis, applied analysis and scientific computing. Access world leading mathematical and statistical Open Access research!

Explore all Strathclyde Open Access research...

Computationally efficient solution of Snell's Law of Refraction

Dziewierz, Jerzy and Gachagan, Anthony (2013) Computationally efficient solution of Snell's Law of Refraction. IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control, 60 (6). pp. 1256-1259. ISSN 0885-3010

Full text not available in this repository. Request a copy from the Strathclyde author


An algorithm for an efficient parallel solution of Snell’s Law of refraction, used to find the time of flight between points in two media, is found by algebraic manipulation. Singularity in the solution is addressed. The algorithm is implemented on a GP-GPU with over 4.6x improvement in computational speed compared with the Needler-Mead method. The accuracy of the solution is verified and the performance benchmarked. Application areas include phased array probe CAD, ultrasound simulation, implementing embedded, real-time “Total Focusing Method” for ultrasonic inspection, data fusion and 3D/4D imaging.