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  • Lesson 21 Upwind scheme Assignment

    Posted by KUSHAL 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 Φw = Φo or ΦA i.e left BC and Φe = ΦP (first attachment)

    but while writing the same for 5th node

    Φw = ΦW and Φe is the boundary condition i.e ΦL or ΦB (second attachment)

    but in text book why Φe = ΦP ??? in the Left hand side of equation

    and Φe = ΦB 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.

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

    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 Φe = ΦP . I share my notes, you can examine how can you implement this method(for node-5). Have a nice day

    • KUSHAL

      January 21, 2024 at 4:35 pm

      Thansk Orhan for sharing your notes.

      This helped me alot.

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