Solution of a hyperbolic system of turbulencemodel equations by the 'box' scheme
Abstract
The momentum and continuity equations for a twodimensional boundary layer, together with an empirical firstorder partial differential equation for shearstress transport, form a hyperbolic system of equations for u, v and r. Here the BradshawFerrissAtwell version of this turbulence model is solved by the KellerCebeci 'box' scheme, which is particularly suited to systems of equations that are individually of first order. Computing time is about equal to that taken by a methodofcharacteristics program if the same number of grid points are used across the layer and in the streamwise direction. However, the box scheme allows larger xsteps to be taken in the streamwise direction leading to smaller computer times.
 Publication:

Computer Methods in Applied Mechanics and Engineering
 Pub Date:
 May 1980
 DOI:
 10.1016/00457825(80)900857
 Bibcode:
 1980CMAME..22..213C
 Keywords:

 Finite Difference Theory;
 Hyperbolic Differential Equations;
 Run Time (Computers);
 Turbulence Models;
 Turbulent Boundary Layer;
 Two Dimensional Boundary Layer;
 Boltzmann Transport Equation;
 Continuity Equation;
 Hyperbolic Systems;
 Mathematical Models;
 Reynolds Stress;
 Shear Stress;
 Fluid Mechanics and Heat Transfer