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Are separate matrices created for various NavierStokes equaions? 

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September 2, 2019, 11:14 
Are separate matrices created for various NavierStokes equaions?

#1 
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Mandeep Shetty
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CFD is based on governing equations, which are generally continuity equation, momentum equations, and/maybe energy equation (consider all of them together as NavierStokes equations). All these 3 equations (let's consider the 3 momentum equations as one), after discretizing gives a system of linear equations. My question is, are there separate matrices created for each of these equations or is there just one, sortof a global matrix created using info from all three questions?
(I am a beginner and am learning discretizing and solution of single PDEs like heat equation but have not studied coupled PDEs like NS equation) Last edited by granzer; September 3, 2019 at 00:41. 

September 2, 2019, 11:51 

#2  
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Filippo Maria Denaro
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Quote:
The system is not linear even after the discretization, you have to see as a single matrix. For example, see here http://www.academia.edu/download/431...2014mrxrh.pdf 

September 2, 2019, 12:14 

#3  
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Mandeep Shetty
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September 2, 2019, 13:27 

#4  
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Filippo Maria Denaro
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Try this link to download the paper https://www.google.com/url?sa=t&rct=...u_anzyQ8NiyMQK 

September 2, 2019, 15:31 

#5  
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Mandeep Shetty
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navier stoke solver 
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