The Use of Spectral Methods in Predicting the Reflection and Transmission of Ultrasonic Signals Through Flaws

Finite difference solution of the wave equation will produce excellent results when the numerical procedure employs time increments and spatial discretization resulting in a Courant number of 1 for all elements. This ideal situation is difficult to achieve with reasonable mesh density when the modeling requires: 1) non-uniform grid discretization, 2) different materials or 3) more than one spatial dimension