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.

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DOI

10.25777/060c-0665

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