The discretized representations of the continuity and momentum equations are as the following.

In the case of continuity equation, the vector in Eqs. (37.10) and (37.12) stands for . The positive, outward directed fluxes through the east and north cell faces become:

(37.14)

F₁ and F₂ denote the average mass fluxes in the positive coordinate x¹ , x² , respectively. The continuity equation can be written as:

(37.15)

U_e ,Y_e ,U_n and in Eqs. (37.14) represent the average values of the Cartesian velocity components at the appropriate cell faces. The procedure of calculating these values from the nodal values are described later.

The left hand side of the momentum equations (Eq.(37.2) has two parts: convection and diffusion. These will be treated separately. For the convection fluxes in Eqs. (37.10) and (37.12) is substituted by for U - equation yielding:

	(37.16)

In the case of the diffusion fluxes, I^D , the vector stands in the U - equation for see Eqs. (37.3) and (37.4). Thus according to Eq. (37.12) we get:

	(37.17)

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