USING IMPLICIT GODUNOV SCHEME FOR CALCULATING PERFECT GAS FLOWS IN NOZZLES, CHANNELS, AND GRILLS OF TURBO-MACHINES

M. Ya. Ivanov, R. Z. Nigmatullin
VANT. Ser.: Mat. Mod. Fiz. Rroc 1989. Вып.2. С. 55-64.

      We describe some features of a second-order accuracy implicit difference scheme designed to numerically solve a system of Euler equations. The scheme relies upon the main ideas included in the well-known explicit Godunov scheme, that is mono- tonicity generalized the varying coefficient case and the Riemann problem accounting local flow structure. The scheme is three-layered in time axis and uses piecewise parabolic distributions of characteristic variables over the difference mesh cells. We give cal-culational results for subsonic, transsonic, and supersonic flows of inviscid and nonconducting gas in nozzles, channels, turbine and compressor grills.