Engineering Mechanics Commons^™

Development Of A Quadratic Finite Element Solution Of The Convective-Transport Equation., David A. Dillard

Masters Theses

"A quadratic finite element has been developed for the solution of the general three-dimensional convective-transport equation. Inherent instabilities in the numerical solution arise when the convective terms in the governing equation become significant. An application of upwinding techniques to the 20 degree of freedom serendipity element failed to produce acceptable results. Upwinding was applied to the 27 degree of freedom Lagrangian element with good results. Results of the latter element are given for several problems, including a model of a round to round metal forming process"--Abstract p. iii