In this paper a generalized extension of the block correction technique is developed including formulae for a multiple block(arbitrary number of blocks)correction technique
and the effect of the number of correction blocks on convergence is studied
with the following findings: 1. There is an optimal number of correction blocks for a problem
for which the CPU time is the smallest. 2. As the number of grid points in the calculation domain increases
the optimal number of correction blocks increases. Generally speaking
when the number of grid points between 20×20 and 10×10
double block correction is the best
when the number of grid points is about 30 × 30
triple block correction might be the best
while if the number of grid points is even greater
multiple block correction may be needed to save computer time. 3. Boundary conditions may have a significant influence on the optimal number of blocks. In general
boundary condition problems of the second type may nead more blocks in the correction technique than the first type.