Objectives 1. Confirm the FE algorithm derivation for the DE problem statement with convection/radiation BCs for temperature distribution in an air-cooled IC engine finned cylinder. 2. Verify the template syntax for this generated non-linear FE algorithm statement. 3. Execute a mesh refinement study for the fin-cylinder DE problem statement for uniform fin thickness. 4. Repeat the Objective 3 exercise for the fin geometrically tapered. 5. Compute the FE solution asymptotic convergence rates for Objectives 3 and 4 in the maximum temperature and the energy norm. Graph the results using log scales and compare to the available theory. Then determine the mesh M necessary to generate an engineering accurate cylinder surface temperature for each case. 6. Confirm that the Newton matrix iteration algorithm convergence rate is indeed quadratic for Objective 4. Then via the Matlab symbol (%) comment out the non-linear contribution in the jacobian template, repeat the finest M mesh solution, hence determine the resultant quasi-Newton matrix iteration convergence rate. Graph these data using log scales. is not quadratic.
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