THE SEMI-LAGRANGIAN APPROACH FOR THE NUMERICAL SOLUTION OF NAVIER-STOKES EQUATIONS FOR VISCOUS INCOMPRESSIBLE FLUID
The two-dimensional time-dependent Navier-Stokes equations are considered for a viscous incompressible fluid in a channel. To construct a discrete analogue, a semi-Lagrangian approximation of the transport derivatives is used in combination with a conforming finite element method for approximation of other terms.