at iteration k+1 is written implicitly as:
The algebraic system for the transported variable at iteration k+1 is written implicitly as:
| (375) |
where the summation is over all the neighbors n of cell p. The right-hand side, b, represents the explicit (that is, evaluated with the results from iteration k) contributions to the discretized equation. The coefficients 
and 
are obtained directly from the discretized terms.
An under-relaxation factor 
may be introduced implicitly as follows:
| (376) |
where the superscript k + 1 implies the value after the solution is produced, and the source term on the right-hand side is evaluated at the previous iteration (k).