Optimising series solution methods for flow over topography---Part 2

Abstract

We consider the procedure used for computing series solutions to two dimensional fully non-linear flow over topography. Even though we use the simplest model for flow over topography there are many challenges when it comes to computing solutions. We discuss update methods that iterate an initial estimate of the free surface to its final position. Updates are performed at a discrete set of knot points. We show that using information about upstream knot point updates is beneficial for the update of downstream knot points. When we are careful about how updates are performed, an order of magnitude decrease in the total number of free surface updates occurs.