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Are separate matrices created for various Navier-Stokes equaions? |
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September 2, 2019, 11:14 |
Are separate matrices created for various Navier-Stokes equaions?
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#1 |
Senior Member
Mandeep Shetty
Join Date: Apr 2016
Posts: 188
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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 Navier-Stokes 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, sort-of 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. |
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September 2, 2019, 11:51 |
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#2 | |
Senior Member
Filippo Maria Denaro
Join Date: Jul 2010
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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...20-14mrxrh.pdf |
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September 2, 2019, 12:14 |
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#3 | |
Senior Member
Mandeep Shetty
Join Date: Apr 2016
Posts: 188
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Quote:
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September 2, 2019, 13:27 |
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#4 | |
Senior Member
Filippo Maria Denaro
Join Date: Jul 2010
Posts: 6,849
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Quote:
Try this link to download the paper https://www.google.com/url?sa=t&rct=...u_anzyQ8NiyMQK |
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September 2, 2019, 15:31 |
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#5 | |
Senior Member
Mandeep Shetty
Join Date: Apr 2016
Posts: 188
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Quote:
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navier stoke solver |
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