Fourth order 'Mehrstellen'integration for threedimensional turbulent boundary layers
Abstract
A new finite difference solution for Prandtl's boundarylayer equations is described in detail for steady, incompressible laminar and turbulent flows. Only boundary sheets will be considered and curvature effects in the direction normal to the wall will be neglected. The governing equations are presented in form of a vector equation. Their numerical stability is discussed for an elementary finite difference molecule. Improved finitedifference approximations with a truncation error of fourth order are then introduced to enable either increased accuracy or shortened calculation times, in particular, for threedimensional problems. Detailed studies of the behavior of the overall error of the solution and several applications to real flow situations supplement the general considerations.
 Publication:

Computers and Fluids
 Pub Date:
 June 1976
 Bibcode:
 1976CF......4...77K
 Keywords:

 Boundary Layer Equations;
 Finite Difference Theory;
 Numerical Stability;
 Three Dimensional Boundary Layer;
 Truncation Errors;
 Turbulent Boundary Layer;
 Eddy Viscosity;
 Incompressible Flow;
 Laminar Flow;
 Numerical Integration;
 Run Time (Computers);
 Steady Flow;
 Fluid Mechanics and Heat Transfer