On the approximation of convection problems in fluid dynamics
Abstract
It is wellknown that oscillatory solutions result when central difference or finiteelement approximations are sought for convective and boundarylayer flows unless the grid length is sufficiently small. A priori limits on the grid spacing, below which the solutions are oscillation free, are derived from onedimensional idealizations of these problems. These limits result from boundarylayer theory.
 Publication:

International Journal for Numerical Methods in Engineering
 Pub Date:
 1977
 DOI:
 10.1002/nme.1620110911
 Bibcode:
 1977IJNME..11.1477G
 Keywords:

 Boundary Layer Flow;
 Convective Flow;
 Free Convection;
 Viscous Flow;
 NavierStokes Equation;
 Reynolds Number;
 Thermal Boundary Layer;
 Fluid Mechanics and Heat Transfer