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The Study on the Finite Volume Compact Scheme and the Boundary Treatment of the Compact Finite Difference Scheme

Author: ZhouZuoJie
Tutor: LingGuoPing
School: Suzhou University
Course: Computational Mathematics
Keywords: Navier-Stokes equations Finite volume method Finite Difference Method Compact format High-resolution
CLC: O241.82
Type: Master's thesis
Year: 2005
Downloads: 163
Quote: 1
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Abstract


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 .

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CLC: > Mathematical sciences and chemical > Mathematics > Computational Mathematics > Numerical Analysis > The numerical solution of differential equations, integral equations > Numerical Solution of Partial Differential Equations
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