Mechanical Engineering ETDs

Publication Date

7-3-1969

Abstract

Initial, boundary and differencing techniques of numerical gas dynamics were improved, and a separated interaction of an oblique shock wave and a laminar boundary layer was solved numerically.

The computing time of a Lax-Wendroff differencing technique was reduced 60 percent by making algebraic changes. Inflow and wall boundary techniques were improved, and the new techniques were verified by satisfactory solutions of plain laminar boundary layers and unseparated interactions of oblique shock waves and laminar boundary layers. The differencing technique was numerically unstable for separated interactions.

Results of a sample all-centered differencing technique agreed with those of a Lax-Wendroff technique for inviscid one-dimensional systems except that shock overshoot and amplitudes of oscillations were larger. Available all centered techniques were numerically unstable for interactions.

A stable solution was obtained for a separated interaction of an oblique shock wave and a laminar boundary layer by adding stabilizing terms to the Lax-Wendroff difference equations. Considering differences in boundary conditions, the computed results were in satisfactory agreement with experiment. The same techniques yielded an accurate solution of a plain laminar boundary layer.

Degree Name

Mechanical Engineering

Level of Degree

Doctoral

Department Name

Mechanical Engineering

First Committee Member (Chair)

Victor J. Skoglund

Second Committee Member

Maurice Wilbert Wildin

Third Committee Member

Arthur Vincent Houghton III

Document Type

Capstone

Language

English

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