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• # Lesson 21 Upwind scheme Assignment

Posted by on January 19, 2024 at 4:26 pm

In Versteeg Malalasekera book page no 147 (text book page no.),

equation written for Node 1 is given shown the attached photo.

Considering f > 0 i.e flow direction is from west to east

in that case our Î¦w = Î¦o or Î¦A i.e left BC and Î¦e = Î¦P (first attachment)

but while writing the same for 5th node

Î¦w = Î¦W and Î¦e is the boundary condition i.e Î¦L or Î¦B (second attachment)

but in text book why Î¦e = Î¦P ??? in the Left hand side of equation

and Î¦e = Î¦B in the Right hand side of equation???

From my understanding I have written the eq for 5th Node. Is it correct ? (third attachment)

I will be grateful if someone can help.

replied 3 months ago 2 Members · 2 Replies
• 2 Replies
• ### Orhan

Member
January 21, 2024 at 12:14 pm

Hi Kushal, because of these situation is half boudary condition. I think you are not considering this situation. So these book writing like Î¦e = Î¦P . I share my notes, you can examine how can you implement this method(for node-5). Have a nice day

• ### KUSHAL

Member
January 21, 2024 at 4:35 pm

Thansk Orhan for sharing your notes.

This helped me alot.