Criterion of momentum equation convergence

In a way that is quite similar to the energy equation, the residual error (rkmom) for the momentum equation is defined as follows:


(1)

where the residual error for i-th component of momentum at the control volume (cv) is:



(2)

Here:



(3)

where:



(4)

where the member contains approximations of other terms including a pressure gradient and forces.

The reference residual value () is defined as:



(5)

where:



(6)

Thus, is treated as the reference value of the momentum flux (jmom,cv) through the control volume. Finally, the convergence condition for the momentum equation is:



(7)

and the stopping criteria Equation 7 can be treated as:



(8)