An implicit finite volume method for elliptical flow computation
Abstract
A time integration scheme is given for the conservation equations for aerothermodynamic problems. The space discretization employed uses the finite volume method, which retains the conservative character of the basic equations. The time integration procedure is based on a linearized, implicit secondorder 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 requirements, and thus allows fast calculation of low frequencies and fast convergence towards a stationary solution. Examples of calculation results are presented to illustrate applications in turbomachinery studies.
 Publication:

In its La Rech. Aerospatiale
 Pub Date:
 July 1980
 Bibcode:
 1980ReAeB.......51D
 Keywords:

 Aerothermodynamics;
 Combustible Flow;
 Conservation Equations;
 Ellipticity;
 Finite Volume Method;
 Numerical Integration;
 Combustion Chambers;
 Exhaust Diffusers;
 NavierStokes Equation;
 Numerical Stability;
 RungeKutta Method;
 Turbine Blades;
 Turbulent Flow;
 Viscous Flow;
 Fluid Mechanics and Heat Transfer