Transonic flow calculations using a dimensional splitting method
by
Hing Hung
Department of Mathematics, RMIT University

The Transonic Small Disturbance Equation of transonic flow and its approximations, is a common model equation for describing subsonic and supersonic flow close to the local speed of sound. In transonic flow there is an embedded region of locally supersonic flow inside an otherwise subsonic flow. The supersonic region is usually terminated by a shock discontinuity. The time-dependent Transonic Small Disturbance equation, will be reformulated in Hyperbolic Conservation Law form.

In Hyperbolic Conservation Law form, with dimensional splitting the equations can be descretized and treated as a series of Riemann problems. Steady subsonic and transonic flow calculations will be presented for a suitable test configuration and where possible comparisons will be made with analytic solutions or experimental results.

Transonic flow calculations using a dimensional splitting method

Date received: July 30, 1999