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
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DOI
10.25777/dbw2-9496
Recommended Citation
Bey, Kim S..
"An Evaluation of a Taylor-Galerkin Algorithm for High Speed Inviscid Flows Using Quadrilateral and Triangular Elements"
(1986). Master of Science (MS), Thesis, Mechanical & Aerospace Engineering, Old Dominion University, DOI: 10.25777/dbw2-9496
https://digitalcommons.odu.edu/mae_etds/402