creator Singh, Manpreet advisor Pervan, Boris S. An 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. Submitted by Erma Thomas (thomase@iit.edu) on 2017-05-17T18:15:49Z No. of bitstreams: 1 etdadmin_upload_471727.zip: 915492 bytes, checksum: cb32f58f3c9e0a1939a510dc480c53d2 (MD5) Made available in DSpace on 2017-05-17T18:15:49Z (GMT). No. of bitstreams: 1 etdadmin_upload_471727.zip: 915492 bytes, checksum: cb32f58f3c9e0a1939a510dc480c53d2 (MD5) Previous issue date: 2016-12 M.S. in Mechanical Engineering, December 2016 2016 2016-12 http://hdl.handle.net/10560/4044 en finite difference Grid Generation Mesh Adaptation Optimization Truncation error variational Thesis born digital application/pdf In Copyright http://rightsstatements.org/page/InC/1.0/ Restricted Access MMAE / Mechanical, Materials, and Aerospace Engineering Illinois Institute of Technology Affiliated department