Numerical Simulation of Two- and Three-Dimensional Nonstationary Viscous Fluid Flows in a Plane Channel

1985 ◽  
pp. 221-226
Author(s):  
I. N. Simakin

The modifications of the three-dimensional Navier-Stokes equations, which I suggested earlier for the description of viscous fluid flows with large gradients of velocities, are considered. It is proved that the first initial-boundary value problem for these equations in any bounded three-dimensional domain has a compact minimal global B-attractor. Some properties of the attractor are established.


Author(s):  
Wanlai Lin ◽  
Ching Jen Chen

Abstract The numerical simulation of fluid flows and heat transfer over complex geometries, especially for three dimensional problems, remains a challenging problem in computational fluid dynamics. This paper proposes a method to approximate the contour of irregular geometries in Cartesian coordinates. In order to achieve a smooth boundary representation, both diagonal segments and Cartesian grid lines are utilized in the approximation. When the geometric object is specified with a set of discrete points, the approximate representation of the object contour is drawn based on the local monotonic principle such that the essential topographical character of the object is preserved. The accuracy of approximated contour on the Cartesian coordinate is estimated by the convergence of contour length and normal distance between the approximated and original contour. The proposed techniques is illustrated by the contours of complex lake banks, multi-cylinder, porous media and the sphere, which are often encountered in fluid devices and heat exchangers.


1996 ◽  
Vol 118 (3) ◽  
pp. 562-568 ◽  
Author(s):  
Chendong Huang ◽  
Rhyn H. Kim

A numerical simulation of butterfly valve flows is a useful technique to investigate the physical phenomena of the flow field. A three-dimensional numerical analysis was carried out on incompressible fluid flows in a butterfly valve by using FLUENT, which solves difference equations. Characteristics of the butterfly valve flows at different valve disk angles with a uniform incoming velocity were investigated. Comparisons of FLUENT results with other results, i.e., experimental results, were made to determine the accuracy of the employed method. Results of the three-dimensional analysis may be useful in the valve design.


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