Ghost Node Boundary method(GNBM) is proposed to simulate incompressible fluid flow with conjugate heat transfer in non-staggered grid system. WIth GNBM, the tricky and difficult pressure boundary conditions are avoided while the conservation of mass, coupling of pressure and velocity fields are satisfied.
All calculation are based on the Cartesian coordinate. The boundary can be either regular or irregular.
Other major numerical methods: Finite Analytical(FA) discretization scheme; Non-staggered grid system;Cell-center grid arrangement; Modified PISO scheme; Momentum Weighted Interpolation Methods(MWIM) for cell surface velocities and coefficients.
Following figures show the cavity flows with Re=1000 and grid 122x122. The code was run on a SGI Indigo2 machine, using a R4400 processor. The computation took approximately 10 hours to converge.
(a) Central velocity distributions are given in following figures in which grid independence and time-marching accuracy are verified.
(b) Stream function, convergence history, pressure and dilatation (D=Ux+Vy) fields are shown in following figures.
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