Date of Award
Summer 1991
Document Type
Thesis
Degree Name
Master of Science (MS)
Department
Mechanical & Aerospace Engineering
Program/Concentration
Mechanical Engineering
Committee Director
Arthur C. Taylor III
Committee Member
Gene J. W. Hou
Committee Member
Surendra N. Tiwari
Call Number for Print
Special Collections; LD4331.E56K67
Abstract
An approximation method is presented for efficiently predicting the changes which occur in a steady-state numerical solution of the Euler equations as a consequence of a small change in the geometric shape of the domain. The method is extended to develop a general procedure for calculating aerodynamic sensitivity derivatives with respect to variations of geometric shape. The techniques are implemented using an upwind cell centered finite volume formulation, and are applied to two test cases, (1) a subsonic nozzle (M∞ = 0.85), and (2) a supersonic inlet (M∞ = 2.0). Conventional numerical solutions are first obtained for flow through three slightly different geometric shapes, and one of these solutions is defined to be the known "baseline" solution. The approximation method is then used to generate predicted solutions from the baseline solution for the remaining two shapes, which compare very well with the conventional numerical solutions, and are computationally less expensive to obtain. With a simple extension of the approximation method, the sensitivity derivatives of the aerodynamic forces on the interior walls of the baseline nozzle / inlet are computed with respect to variations in the geometric shape parameters. The sensitivity coefficients calculated using this approach compare extremely well with those calculated using the method of "brute force" (finite differences), and are also computationally less expensive to obtain.
Rights
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DOI
10.25777/0vss-w238
Recommended Citation
Korivi, Vamshi M..
"Application of Sensitivity Analysis to the Euler Equations"
(1991). Master of Science (MS), Thesis, Mechanical & Aerospace Engineering, Old Dominion University, DOI: 10.25777/0vss-w238
https://digitalcommons.odu.edu/mae_etds/559