An investigation of the Fast Approximation Scheme or FAS multigrid truncation error estimates at grid points with application to mesh... Show moreAn investigation of the Fast Approximation Scheme or FAS multigrid truncation error estimates at grid points with application to mesh redistribution is presented. Feasibility of the error estimate as a means to adapt the mesh to a physical problem by solving the elliptic mesh equations derived from minimization of the error estimate based on the principle of equidistribution is examined by solving 1-D numerical test cases. To keep mesh movement under control, a parabolized version of the mesh equation is also tested to make an active comparison of the possible improvements in adaptivity and mesh quality. The results reveal smoothness issues indicating the need for a more robust estimator within the adaptive redistribution framework. Particularly, the prevalence of poor zonal e↵ects on the mesh points alone, point to lack of information over each cell thereby rendering the estimate ine↵ective to adapt the mesh. M.S. in Mechanical Engineering, December 2016 Show less
