Superconvergent second derivative recovery methods
Jefferson, Christine Michelle
Akin, John Edward.
Master of Science
A method of evaluating super-convergent second derivative recovery methods in proposed. The second derivative and exact flux error of three super-convergent patch (SCP) options are compared to determine the more effective method. The three super-convergent patch options employed are: the element based patch (all neighbors), the element based patch (facing neighbors), and the nodal based patch (all element neighbors). To witness the behavior of the different SCP options, different boundary conditions and element types are evaluated. The value of each SCP option is further investigated by comparing the uniform mesh refinement with the more cost effective h-refinement method.