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FVM for 2D convection-diffusion problems

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Old   July 10, 2024, 10:17
Default FVM for 2D convection-diffusion problems
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Kim jeamin
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Hi, I want to know if my derivation of discretized governing equation of 2D convection-diffusion is right. Because i am high schooler and my first language is not English, there could be some mistranslation. If so please comment below.IMG_0825.jpgIMG_0826.jpg
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Old   July 10, 2024, 12:19
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Filippo Maria Denaro
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Originally Posted by mongya View Post
Hi, I want to know if my derivation of discretized governing equation of 2D convection-diffusion is right. Because i am high schooler and my first language is not English, there could be some mistranslation. If so please comment below.Attachment 100730Attachment 100731
You should be aeare that FVMs are based on The integral formulation
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Old   July 11, 2024, 06:29
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You should be aeare that FVMs are based on The integral formulation


As you can in the picture i did integrate the partial differential equation. So even though the first governing equation is given differential form, i solved fvm problem
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Old   July 11, 2024, 06:35
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As you can in the picture i did integrate the partial differential equation. So even though the first governing equation is given differential form, i solved fvm problem
In order to full understand the topic about FVM methods, I suggest to approach a time-dependent problem. This way you see the meaning of cell-averaged values and flux reconstruction issue.
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Old   July 11, 2024, 07:54
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In order to full understand the topic about FVM methods, I suggest to approach a time-dependent problem. This way you see the meaning of cell-averaged values and flux reconstruction issue.


I have actually just learnt cfd theory. So for me time-dependent in other words unsteady problem is yet hard to handle.
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