FLOW AROUND A CYLINDER - istiarto

4.7 Summary
– 4.53 –
Development of a three-dimensional numerical flow model has been presented. The
model is based on the approximate solution of the Reynolds averaged Navier-Stokes
equations, the continuity equations, and the k-� turbulence closure model. These
equations are expressed in a general convective-diffusive transport equation on a
Cartesian coordinate system. The working equation of the model is obtained by
discretizing this transport equation by using finite volume techniques on a structured,
collocated, boundary-fitted, hexahedral control-volume grid. The hybrid (Spalding, 1972)
or power-law (Patankar, 1980) upwind-central difference scheme, combined with the
deferred correction method (Ferziger and Peric, 1997), is employed in the discretisation
of the governing equations. The solution of the working equation is achieved by an
iterative method according to SIMPLE algorithm (Patankar and Spalding, 1972). Along
solid boundaries, use is made of the wall function method, while along surface
boundaries the pressure defect is used to define the surface position. On other boundaries,
namely inlet, outlet, and symmetry boundaries, classical methods are used, such as zero
gradients, zero stresses, or known functions.
The model is applicable for steady state flow cases, but not for transient ones. The time
step is used as an iteration step to mark, notably, the change of the computational domain
due to the moving surface boundary.
References
Cebeci, T., and Bradshaw, P. (1977). Momentum Transfer in Boundary Layers.,
Hemisphere Publ. Co., Washington, USA.
Ferziger, J. H., and Peric, M. (1997). Computational Methods for Fluid Dynamics.,
Springer-Verlag, Berlin, Germany.
Fletcher, C. A. J. (1997). Computational Techniques for Fluid Dynamics, Vol. 1.,
Springer, Berlin, Germany.
Hirsch, C. (1988). Numerical Computation of Internal and External Flows, Vol. 1:
Fundamentals of Numerical Discretization., John Wiley & Sons, Chichester,
England.
Jesshope, C. R. (1979). ―SIPSOL – A suite of subprograms for the solution of the linear
equations arising from elliptical partial differential equations.‖ Computer Physics
Communications, 17383-391.
Kobayashi, M. H., and Pereira, J. C. F. (1991). ―Numerical comparison of momentum
interpolation methods and pressure-velocity algorithms using non-staggered grids.‖
Communications in Applied Numerical Methods, 7173-186.
Krishnappan, B. G., and Lau, Y. L. (1986). ―Turbulence modeling of flood plain flows.‖
ASCE, J. Hydr. Engrg., 112(4), 251-266.