Numerical analysis of two and three dimensional 90 degree bend flow

The two basic methods of numerical viscous flow calculation, the vorticity transport and primitive-variable schemes, are applied to the finite-difference analysis of flow through a two dimensional 90 degree bend between sections of straight conduit. Additionally, the vorticity-transport method is employed in two approaches, one a direct calculation in rectangular and polar coordinates, the other via a nonorthogonal coordinate transform by which calculations are performed in a square mesh field. The solutions for all three methods were in agreement for R = 82. The two dimensional primitive variable methodology was then successfully transferred to the three dimensional 90 degree curved pipe problem.