Variable grid scheme for discontinuous grid spacing and derivatives
Abstract
A CrankNicolson type finitedifference scheme is developed for solving boundary layer flows on arbitrary grids and with jumps in viscosity and density. The method is applied to the similar equations and two approaches are obtained depending upon the linearization of terms. One of these approaches can be developed from the box scheme formulation. In some cases, difference relations for derivatives are those obtained in the variable grid scheme developed previously. Numerical solution verify that the difference techniques have secondorder behavior as the grid system is refined. A wall velocity gradient relation is determined which gives secondorder accuracy for all grids considered.
 Publication:

Computers and Fluids
 Pub Date:
 December 1980
 Bibcode:
 1980CF......8..421B
 Keywords:

 Boundary Layer Flow;
 Computational Fluid Dynamics;
 Finite Difference Theory;
 Boundary Layer Equations;
 Shear Stress;
 Viscosity;
 Wall Flow;
 Fluid Mechanics and Heat Transfer