8.1.1 – Prescribed temperature condition

When we are handling prescribed temperature conditions, we have the equation for the fictitious volume. And the average between the fictitious volume and the adjacent volume must be equal to temperature at boundary, as shown at faces of the domain:
 
East face:



Figure 8.1.1.1 – Fictitious volumes of the East face.
 


(8.1.1.1)

Therefore
 
(8.1.1.2a)
   
(8.1.1.2b)
 
(8.1.1.2c)
   
(8.1.1.2d)
 
West face:



Figure 8.1.1.2 – Fictitious volumes of the West face.
   



(8.1.1.3)

Therefore
   
(8.1.1.4a)
   
(8.1.1.4b)
 
(8.1.1.4c)
   
(8.1.1.4d)
 
North face:



Figure 8.1.1.3 – Fictitious volumes of the North face.
   



(8.1.1.5)

Therefore
     
   
(8.1.1.6a)
   
(8.1.1.6b)
 
(8.1.1.6c)
   
(8.1.1.6d)
 
South face:



Figure 8.1.1.4 – Fictitious volumes of the South face.
   



(8.1.1.7)

Therefore
   
(8.1.1.8a)
   
(8.1.1.8b)
 
(8.1.1.8c)
   
(8.1.1.8d)
 
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