Development of finite analytic method for unsteady threedimensional NavierStokes equation
Abstract
A finite analytic (FA) numerical method is described for the numerical study of threedimensional fluid flow problems. The FA method incorporates a local linearization scheme and a classical analytic solution technique to formulate the algebraic representation of unsteady threedimensional Navier Stokes Equations. The twentyeight point FA formula thus obtained gives all positive coefficients and desired upwind shift. Cubic cavity flows are then solved by the FA method for Reynolds numbers of 100 and 400. A simple variant of SIMPLER algorithm is used to resolve the pressurevelocity coupling problem. The numerical solutions show that the presence of side walls reduce the strength of the primary vortex when compared with the twodimensional square cavity flows.
 Publication:

Computation of Internal Flows: Methods and Applications
 Pub Date:
 1983
 Bibcode:
 1983cifm.proc..159C
 Keywords:

 Computational Fluid Dynamics;
 NavierStokes Equation;
 Three Dimensional Flow;
 Unsteady Flow;
 Algorithms;
 Flow Geometry;
 Reynolds Number;
 Vortices;
 Fluid Mechanics and Heat Transfer