Mathematical modelling of the transport processes in the incompressible medium with predominating convection

Convection-duffusion equation is the base for the description of the transport processes in the medium. The processes with large convection prevail. The system of linear equations with strongly nonsymmetric matrix arise after approximation of these problems with finite differences or finite elements. Special class of the new iterative methods is used for the solution of this system. Upper and low triangular parts of the skew-symmetric matrix are preconditioned for these methods.