Relaxation schemes for inviscid transonic flows

Author

Yeng-Yung Tsui

Date of Award

3-1981

Degree Type

Thesis

Degree Name

Master of Science

Major

Aerospace Engineering

Major Professor

K. C. Reddy

Committee Members

J. M. Wu, T. Moulden

Abstract

A class of numerical schemes for inviscid transonic flows are studied in this thesis. They are based on second order accurate central difference approximations(box-scheme) to the viscous-transonic equation. A successive line relaxation method (SLR), an alternating direction implicit method (ADI) and a multigrid ADI method are developed for solving the non-linear difference equations. Inviscid transonic flows over a symmetric airfoil at zero-angle of attack in an infinite domain and in a wind-tunnel environment with wall suction are computed using the three relaxation schemes. Both subcritical and supercritical flows are calculated. Convergence histories of the approximate solutions show that the ADI method is about three times faster than the line relaxation method and multigrid ADI method is about twice as fast as the ADI method.

Recommended Citation

Tsui, Yeng-Yung, "Relaxation schemes for inviscid transonic flows. " Master's Thesis, University of Tennessee, 1981.
https://trace.tennessee.edu/utk_gradthes/15323