A converging splitting scheme for multidimensional equations of a viscous gas
Abstract
A theorem on the convergence of a splitting scheme is formulated for a system of equations of a viscous gas with two or three threedimensional variables. No a priori assumptions are made concerning the existence of an exact solution. The splitting convergence theorem, together with convergence rate estimates, makes it possible to conduct a rigorous analysis of the convergence of the corresponding difference schemes.
 Publication:

Akademiia Nauk SSSR Doklady
 Pub Date:
 1991
 Bibcode:
 1991DoSSR.320.1315K
 Keywords:

 Computational Fluid Dynamics;
 Dependent Variables;
 Gas Flow;
 Viscous Flow;
 Convergence;
 Flux Vector Splitting;
 Theorem Proving;
 Fluid Mechanics and Heat Transfer