New developments for increased performance of the SBP-SAT finite difference technique

Abstract

In this article, recent developments for increased performance of the high order and stable SBP-SAT finite difference technique is described. In particularwe discuss the use ofweak boundary conditions and dual consistent formulations.The use ofweak boundary conditions focus on increased convergence to steady state, and hence efficiency.Dual consistent schemes produces superconvergent functionals and increases accuracy.