On a scheme for solving the equations of a viscous heatconducting gas
Abstract
An absolutely stable difference scheme is proposed for the numerical solution of the equations for the steady flows of a viscous heatconducting gas in arbitrary curvilinear coordinates. The scheme has a second order of approximation for smooth solutions and is monotonic in the domain of large gradients. The absolute stability of the scheme is demonstrated, and results of test calculations are presented, including the calculation of an exact solution obtained by the introduction of source terms in the equations.
 Publication:

Zhurnal Vychislitelnoi Matematiki i Matematicheskoi Fiziki
 Pub Date:
 August 1983
 Bibcode:
 1983ZVMMF..23..901P
 Keywords:

 Aerothermodynamics;
 Conductive Heat Transfer;
 Finite Difference Theory;
 NavierStokes Equation;
 Viscous Flow;
 Blunt Bodies;
 Compressible Flow;
 Numerical Stability;
 Spherical Coordinates;
 Fluid Mechanics and Heat Transfer