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

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
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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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