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.

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DOI

10.25777/a3r9-2e96

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