Momentum Equation in Discrete Form

Applying Eqn. 66 to a cell-centered control volume for cell-0, one obtains the following discrete equation for the transport of velocity:

(70)

The discrete equation for each velocity component may be expressed implicitly as a linear system as described in Finite Volume Discretization . The transient terms, body forces and convective flux for each velocity component is discretized in the manner as the scalar quantity described therein. The treatment of the viscous flux is discussed in the next section.