The finite analytic method and its applications. Volume 1: Laminar and turbulent flows past twodimensional and axisymmetric bodies
Abstract
A numerical study of laminar and turbulent flows past twodimensional bodies and axisymmetric bodies is presented. Numerical methods are developed to solve NavierStokes equations for twodimensional and axisymmetric flows in the arbitrary geometries. The complex physical geometry is resolved by use of numerically generated, bodyfitted coordinates. The governing equations are written in the transformed domain using the orthogonal velocity components as dependent variables for momentum equations. The governing equations are discretized using both the finite analytic method and the finite volume method. Both one velocity staggered grid method and two velocities staggered method are employed for grid arrangements. The velocity and pressure coupling techniques in these grid arrangements are presented. The solution procedure of the SIMPLER numerical algorithm is used with a parabolic marching technique and a global pressure calculation method. For turbulent flow calculations, both the kepsilon turbulence model and the twolayer turbulence model are used.
 Publication:

Iowa University Progress Report
 Pub Date:
 March 1990
 Bibcode:
 1990iowa.rept.....C
 Keywords:

 Axisymmetric Bodies;
 Computational Grids;
 Finite Volume Method;
 Flow Equations;
 Flow Geometry;
 Laminar Flow;
 NavierStokes Equation;
 Turbulent Flow;
 Two Dimensional Bodies;
 Algorithms;
 Coordinates;
 Orthogonality;
 Pressure;
 Size (Dimensions);
 Velocity Coupling;
 Fluid Mechanics and Heat Transfer