Sufficient conditions of stability in calculations of stationary supersonic flows by a marching method and non-stationary viscous flows

V. G. Grudnitskii

Dorodnitsyn Computing Centre of the Russian Academy of Sciences

Abstract: In this paper the sufficient conditions of stability and monotony are received for calculations of supersonic stationary flows by a marching method. The sufficient conditions of stability are established also when constructing the explicit numerical schemes for solutions of non-stationary conservation lows with viscosity taken into account. The received conditions continuously transfer from a hyperbolic type of time step restrictions to parabolic ones as the viscosity coefficient increases.

Received: 31.03.2006

 English version: Mathematical Models and Computer Simulations, 2009, 1:1, 113–123

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