A novel method for transferring the Navier-Stokes-equations for two-dimensional almost incompressible, viscous flow to CNN is discussed. The problem has been treated in previous works, where the CNN layer that represents the pressure had to perform on a much faster time-scale than the layers representing the velocity components. This is a drawback, especially when hardware realizations are considered. The method presented in this contribution avoids the use of a double time-scale CNN and requires fewer connections between the cells. The treatment of boundary conditions is discussed and the accuracy of the results is determined for two known analytical solutions.