Date of Award
Fall 1989
Document Type
Thesis
Department
Mechanical & Aerospace Engineering
Program/Concentration
Engineering Mechanics
Committee Director
Gene J. W. Hou
Committee Member
Tan H. Hou
Committee Member
Arthur C. Taylor
Call Number for Print
Special Collections; LD4331.E57M53
Abstract
Shape sensitivity analysis is introduced into a numerical scheme simulating a transient free-surface flow and applied to the case of a fluid advancing through a bed of cylinders. For this incompressible Newtonian flow, viscous forces are dominant. A penalty function finite element formulation is used to solve the problem. Coordinates of nodes on the moving boundary are chosen as design variables and an analytical formulation of the gradient of the finite element algebraic system, with respect to these variables, is derived.
In a numerical example, the results obtained with and without sensitivity analysis are compared. The efficiency and accuracy of this algorithm are very good despite the approximation introduced by sensitivity analysis. Up to 45% of the total CPU time required has been saved.
These results are encouraging for further applications of sensitivity analysis to transient free-surface flow problems.
Rights
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DOI
10.25777/a3r9-2e96
Recommended Citation
Michel, Frank N..
"Application of Shape Sensitivity Analysis for Computation of Transient Free-Surface Flows"
(1989). Thesis, Old Dominion University, DOI: 10.25777/a3r9-2e96
https://digitalcommons.odu.edu/mae_etds/616