A matrix-free locally-implicit scheme for Navier-Stokes equations

Author

Matthew C. Towne

Date of Award

5-1989

Degree Type

Thesis

Degree Name

Master of Science

Major

Aerospace Engineering

Major Professor

K. C. Reddy

Committee Members

Ahmad D. Vakili, J. A. Benek

Abstract

A locally-implicit scheme for steady-state solution of the thin-layer NavierStokes Equations is simplified by elimination of coefficient matrices. This reduces both arithmetic computation and computer storage requirements. An added benefit is the simplification of the algorithm which eases the coding task. The locally-implicit scheme uses finite-volume spatial discretization, locally-implicit time integration, Jameson-type artificial dissipation terms and a modified GaussSeidel iteration. The modified method is tested for subsonic and transonic flows over an RAE 2822 airfoil.

Recommended Citation

Towne, Matthew C., "A matrix-free locally-implicit scheme for Navier-Stokes equations. " Master's Thesis, University of Tennessee, 1989.
https://trace.tennessee.edu/utk_gradthes/13099