Predictor-Corrector Method for Numerical Solution of Euler and Navier - Stokes Equations
A generalization of the schemes of optimal splitting for the numerical solution of the Euler and Navier -Stokes equations in the curvilinear transformed coordinates is performed in this paper. We introduce splitting of the equations, which is uniform in their divergent and non-divergent forms and allows us to construct a class of economic diﬀerence schemes. They are realized by scalar sweep methods on the fractional steps and have a large stability margin. The oﬀered algorithm has been tested on stationary and non-stationary problems.