Doctoral Dissertations
Date of Award
12-1988
Degree Type
Dissertation
Degree Name
Doctor of Philosophy
Major
Engineering Science
Major Professor
Allen J. Baker
Committee Members
J. E. Stoneking, R. V. Arimilli, M. O. Soliman, E. Wachspress
Abstract
The Taylor Weak Statement has been developed as a potential unified approach for approximate computation of fluid flows. It is verified to contain a variety of numerical dissipative methods developed for advection problems by specific identification of its expansion parameters. Generalized Fourier modal analysis has been completed in one space dimension for both semi-and fully-discrete approximations, from which the flux limiter method is herein developed and evaluated for finite element computations. Its application to 1- and 2-dimensional scalar models is investigated for continuous and discontinuous initial value problems, and its use for the Euler equation system of gas dynamics in 1- and 2-dimensional cases is demonstrated.
Recommended Citation
Kim, Jin Whan, "On a Taylor Weak Statement for Finite Element Computations in Gas Dynamics. " PhD diss., University of Tennessee, 1988.
https://trace.tennessee.edu/utk_graddiss/2389