Abstract
Abstract : We have performed research on the algorithm development, analysis, implementation and application for high order weighted essentially non-oscillatory (WENO) finite difference and finite volume schemes and related methods, for solving computational fluid dynamics (CFD) problems and other applications containing strong shock waves and complicated smooth region structures. The goal of this research is to help obtaining more robust, cost effective, and reliable numerical tools for computational fluid dynamics problems and other applications, that are of interest to AFOSR. 22 papers in positivity-preserving high order schemes, stable and accurate boundary conditions for high order finite difference methods, efficient semi-Lagrangian finite difference schemes and other topics are published in refereed journals.
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