8.2.2 – Outlet condition

In the outlet condition we consider the transported property, in this case u and v, do not change in the domain outlet, where theses conditions are applied. So the equations for the fictitious volumes are given by:
 
East face:


Momentum conservation in x direction
 


(8.2.2.1)

So
  (8.2.2.2a)
  (8.2.2.2b)
  (8.2.2.2c)
  (8.2.2.2d)

Momentum conservation in y direction
 

(8.2.2.3)

So
  (8.2.2.4a)
  (8.2.2.2b)
  (8.2.2.2c)
  (8.2.2.2d)
 
West face:


Momentum conservation in x direction





(8.2.2.5)

So
 
(8.2.2.6a)
  (8.2.2.6b)
  (8.2.2.6c)
  (8.2.2.6d)

Momentum conservation in y direction
 



(8.2.2.7)

So
  (8.2.2.8a)
  (8.2.2.8b)
  (8.2.2.8c)
  (8.2.2.8d)
 
North face:


Momentum conservation in x direction
 


(8.2.2.9)

So
 
(8.2.2.10a)
  (8.2.2.10b)
  (8.2.2.10c)
  (8.2.2.10d)

Momentum conservation in y direction
 


(8.2.2.11)

So
 
(8.2.2.12a)
  (8.2.2.12b)
  (8.2.2.12c)
  (8.2.2.12d)
 
South face:


Momentum conservation in x direction
 


(8.2.2.13)

So
  (8.2.2.14a)
  (8.2.2.14b)
  (8.2.2.14c)
  (8.2.2.14d)

Momentum conservation in y direction
 


(8.2.2.15)

So
  (8.2.2.16a)
 
(8.2.2.16b)
 
(8.2.2.16c)
 
(8.2.2.16d)
 
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