Date of Award
Summer 1990
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
Surendra N. Tiwari
Committee Member
Jamshid S. Abolhassani
Call Number for Print
Special Collections; LD4331.E56C59
Abstract
In fluid flow calculations, a set of generalized field variables is used to replace the more conventional choice of either the conserved variables, or the primitive variables. This generalized set of variables represents an infinite number of possible choices for the specific set of field variables. For algorithms of both the implicit and explicit type, the resulting effect of a change in field variables on a steady-state flow solution is in general relatively small. However, for implicit algorithms, a consistent linearization with respect to the new variables results in dramatic changes in the overall matrix conditioning of the linear systems which are associated with algorithms of this type. As a consequence, the convergence rates of conventional implicit algorithms are greatly affected for better or for worse, depending on the specific choice of field variables which are used. Therefore, a method is developed to efficiently convert existing software so that any set of field variables can be used easily. However, it is challenging to identify a choice of variables which results in the best overall matrix conditioning and convergence rates for typical implicit methods, when applied to fluid problems.
Rights
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DOI
10.25777/060c-0665
Recommended Citation
Chwalowski, Pawel.
"Use of a Generalized Set of Variables in Fluid Flow Calculations"
(1990). Master of Science (MS), Thesis, Mechanical & Aerospace Engineering, Old Dominion University, DOI: 10.25777/060c-0665
https://digitalcommons.odu.edu/mae_etds/442