An implicit-type finite volume method for elliptical flow computation
Abstract
A time integration scheme for the conservation equations is given for aerothermodynamic problems. The space discretization employed here uses the finite volume method, which retains the conservative character of the basic equations. The time integration procedure is based on a linearized, implicit second-order method, which anticipates the variation of aerodynamical quantities by implicitly coupling mass and momentum equations through a linearized pressure equation. In such a way, the numerical scheme escapes the CFL stability requirement, and thus allows fast calculation of low frequencies and fast convergence toward stationary solution. A few examples of calculation results are presented to illustrate the range of application in turbomachinery studies.
- Publication:
-
La Recherche Aerospatiale
- Pub Date:
- April 1980
- Bibcode:
- 1980ReAer......123D
- Keywords:
-
- Aerothermodynamics;
- Compressible Fluids;
- Computational Fluid Dynamics;
- Conservation Equations;
- Navier-Stokes Equation;
- Turbulent Flow;
- Combustion Chambers;
- Ellipticity;
- Exhaust Diffusers;
- Mass;
- Momentum;
- Numerical Integration;
- Turbine Blades;
- Viscous Fluids;
- Lasers and Masers