Date of Award

Spring 1986

Document Type

Thesis

Degree Name

Master of Science (MS)

Department

Mechanical & Aerospace Engineering

Program/Concentration

Aerospace Engineering

Committee Director

Earl A. Thornton

Committee Member

Osama A. Kandil

Committee Member

E. Von Lavante

Call Number for Print

Special Collections; LD4331.E53B49

Abstract

The Taylor-Galerkin finite element algorithm is used to obtain solutions to the two-dimensional compressible Euler equations. The mathematical formulation of the algorithm is presented for a typical scalar equation. The derivation results in element equations which are assembled over the entire solution domain to obtain the system of equations that are solved explicitly. The algorithm has the unique feature that the finite element matrices can be evaluated in closed form, avoiding expensive numerical integration. Aspects of vector programming strategies and mesh generation important to an effective analysis procedure are also described. Solutions to supersonic flow problems with exact solutions are computed and compared for meshes containing all quadrilateral and triangular elements. Solutions to hypersonic flow over a blunt body are computed for different meshes and compared with solutions from other numerical techniques. Solution to the flow in the cove formed by the Juncture of the Shuttle orbiter wing and elevon is computed and compared with experimental data. Results show that the Taylor-Galerkin algorithm offers promise for predicting high speed flow phenomena, but further development of the algorithm is needed to obtain accurate solutions in localized areas of the flow field.

Rights

In Copyright. URI: http://rightsstatements.org/vocab/InC/1.0/ This Item is protected by copyright and/or related rights. You are free to use this Item in any way that is permitted by the copyright and related rights legislation that applies to your use. For other uses you need to obtain permission from the rights-holder(s).

DOI

10.25777/dbw2-9496

Share

COinS