Conservative streamtube solution of steady-state Euler equations
Abstract
This paper presents a new method for solving the steady state Euler equations. The method is similar to streamline curvature methods but has a conserative finite volume formulation which ensures correct shock capturing. Either wall position or wall pressure may be prescribed as boundary conditions, permitting both direct and inverse calculations. In supersonic applications the solution is obtained by space-marching while in subsonic and transonic applications iterative relaxation methods are used. Numerical results are given for: (1) supersonic diffuser with oblique shocks (direct calculation); (2) supersonic jet entering still reservoir (inverse calculation); (3) subsonic bump in a channel with 25 percent blockage (direct and inverse); (4) subsonic high-work turbine cascade (direct); and (5) transonic bump in a channel with 12 percent blockage (direct calculation).
- Publication:
-
17th Fluid Dynamics, Plasma Dynamics, and Lasers Conference
- Pub Date:
- June 1984
- Bibcode:
- 1984fdpd.confS....D
- Keywords:
-
- Computational Fluid Dynamics;
- Euler Equations Of Motion;
- Steady Flow;
- Streamlined Bodies;
- Subsonic Flow;
- Supersonic Flow;
- Aircraft Design;
- Airfoil Profiles;
- Channel Flow;
- Iterative Solution;
- Relaxation Method (Mathematics);
- Stagnation Pressure;
- Streamlining;
- Fluid Mechanics and Heat Transfer