The Study on the Finite Volume Compact Scheme and the Boundary Treatment of the Compact Finite Difference Scheme
|Keywords||Navier-Stokes equations Finite volume method Finite Difference Method Compact format High-resolution|
In this paper, the fourth-order finite volume compact format on a staggered grid of two-dimensional unsteady incompressible Navier-Stokes equations of fluid convection and diffusion terms discrete . Pressure term by the pressure Poisson equation is obtained and given new pressure Poisson equation discrete expression of the fourth-order finite volume compact format . Low storage third-order Runge-Kutta method of the Navier-Stokes equations for time advancing . Fourier analysis , finite volume compact format than the finite volume noncompact higher numerical resolution format . Taylor vortex and the initial fluid flow field for double speed distribution , for example , to get a good result . Finally, the compact finite difference scheme boundary treatment , and were compared with the results calculated with periodic boundary conditions .