Application of conservation variable characteristic equations to steady multidimensional flow

Douglas Carl Hofer, Purdue University

Abstract

A numerical technique for calculating unsteady three-dimensional inviscid subsonic-transonic-supersonic flowfields in arbitrary nozzle geometries is presented. This technique is based on the recently derived conservation variable characteristic equations. An explicit inverse marching numerical method of characteristics is used to obtain the solution to these equations. The overall numerical algorithm is shown to be second-order accurate. Steady flow solutions are obtained as the asymptotic solution in time. Results are presented for several two-dimensional and three-dimensional inviscid flowfields. Solutions obtained with the subject method agree well with exact solutions and experimental data.

Degree

Ph.D.

Advisors

Thompson, Purdue University.

Subject Area

Mechanical engineering|Aerospace materials

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