| Abstract: | We deal with the numerical solution of the Navier-Stokes equations describing a motion of viscous compressible fluids. In order to obtain a sufficiently stable
higher order scheme with respect to the time and space coordinates, we develop a
combination of the discontinuous Galerkin finite element (DGFE) method for the space
discretization and the backward difference formulae (BDF) for the time discretization.
Since the resulting discrete problem leads to a system of nonlinear algebraic equations at each time step, we employ suitable linearizations of inviscid as well as viscous
fluxes which give a linear algebraic problem at each time step. Finally, the resulting
BDF-DGFE scheme is applied to steady as well as unsteady flows and achieved results
are compared with reference data. |
