Numerical modeling of multidiensional gas flows with implicit iterative scheme

Authors

  • М. Н. Гризун National Technical University "Kharkiv Polytechnic Institute", Ukraine
  • С. В. Ершов A.N. Podgorny Institute for Mechanical Engineering Problems of NAS of Ukraine, Ukraine

Abstract

The implicit iterative difference scheme, based on the Newton method, is built for multidimen-sional Navier-Stokes equations, which describe viscous gas flow. Explicit difference TVD and ENO schemes are used for approximation of spatial derivatives of flux terms, and backward difference formula approximates time-derivative. Multidimensional viscous gas flow in turbo- machine cascades is numerically modelled. Numerical efficiency of the implicit iterative scheme in comparison with Beam-Warming one is analyzed. Obtained results are compared with those of other authors.

Author Biography

С. В. Ершов, A.N. Podgorny Institute for Mechanical Engineering Problems of NAS of Ukraine

doctor of technical science

Published

2015-08-07

Issue

Section

Aero- and hydrodynamics in energy machines