Computation of high speed turbulent boundarylayer flows using the kepsilon turbulence model
Abstract
The applicability of a finite elementdifferential method to the computation of steady twodimensional lowspeed, transonic, and supersonic turbulent boundarylayer flows is investigated. The turbulence model chosen for the Reynolds shear stress and turbulent heat flux is the kepsilon twoequation model. Calculations are extended up to the wall, and the exact values of the dependent variables at the wall are used asboundary conditions. A number of transformations are carried out and the assumed solutions at a longitudinal station are represented by complete cubic spline functions. In essence, the method converts the governing partial differential equations into a system of ordinary differential equations by a weighted residuals method and invokes an ordinary differential equation solver for the numerical integration of the reduced initialvalue problem. The results of the computations reveal that the method is highly accurate and efficient. Furthermore, the accuracy and applicability of the kepsilon turbulence model are examined by comparing results of the computations with experimental data. The agreement is very good.
 Publication:

International Journal for Numerical Methods in Fluids
 Pub Date:
 January 1985
 DOI:
 10.1002/fld.1650050107
 Bibcode:
 1985IJNMF...5...81L
 Keywords:

 Boundary Layer Flow;
 Computational Fluid Dynamics;
 High Speed;
 KEpsilon Turbulence Model;
 Turbulent Boundary Layer;
 Boundary Value Problems;
 Finite Element Method;
 Galerkin Method;
 Partial Differential Equations;
 Spline Functions;
 Two Dimensional Boundary Layer;
 Fluid Mechanics and Heat Transfer