Computational Methods for the Simulation of Non-Newtonian Flows.
Abstract
The research supported by this grant included two projects: (1) Temperature Control In Polymer Extrusion Processes, here an optimization problem was formulated. This problem was motivated by the desire to obtain uniform extrudate temperature at the die exit in a polymer extrusion process. Control was effected by adjustments to the heat flux along the surface of the pipe. An optimality system of partial differential equations was derived from which optimal controls and states may be determined. Then, finite element discretizations of the optimality system were defined and error estimates were provided along with an efficient solution algorithm for the discreet. Finally, computational results were given for a model example with Oldroyd type fluid, demonstrating the effectiveness of our theory and methods, as well as their potential applicability to industrial problems. (2) Analysis and Finite Element Approximation of An Optimal Control Problem in Electrochemistry with Current Density Controls, here an optimal control problem for impressed cathodic systems in electrochemistry was studied. The control in this problem was the current density on the anode. A matching objective functional was considered. The existence of an optimal solution was proved. The use of Lagrange multiplier rules was justified and an optimality system of equations established. Finally, a finite element algorithm was defined and optimal error estimates were derived.
Document Details
- Document Type
- Technical Report
- Publication Date
- Dec 01, 1994
- Accession Number
- ADA290355
Entities
People
- James C. Turner
Organizations
- Hampton University