22.5. Residuals of Fiber Equations

The solution algorithm for the fiber equations requires a means for checking convergence of the solution. In the fiber model a simple residual is used for this purpose.

The conservation equation for a general variable at a cell can be written as

(22–18)

where

 

= center coefficient

 

= influence coefficients for the neighboring cells

 

= constant part of the source term

 

= linear part of the source term

The residual computed by the fiber model is the imbalance in Equation 22–18 summed over all fiber cells.

(22–19)

This is called the absolute residual. Relative residuals are defined as the change of the absolute residuals between two subsequent iterations divided by the absolute residual.

(22–20)