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1D Incompressible ,inviscid flow

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Old   June 8, 2010, 16:56
Unhappy 1D Incompressible ,inviscid flow
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Hi,

I'm trying to solve the equation above for a 1D case. the equation also needs to satisfy continuity. I guess I can't just get rid of the second term even though the second term u.delta is the incompressiblity condition (continuity) condition in 1D for incompressible flow. If I do that it would be impossible to dicretize the equation. So I guess I need to leave that term in the equation and continue discretizing but somehow I need to show that the equation satisfies continuty.. how can I do that.. does anyone have any ideas?

Thank you in advance . I look forward to your hints asap!
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Old   June 8, 2010, 22:51
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Dear Hoovan,

Maybe you can refer to Computational Fluid Dynamics by John D. Anderson.
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Old   June 8, 2010, 22:52
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Dear Hooman,

Maybe you can refer to Computational Fluid Dynamics by John D. Anderson.
Hope this help.
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Old   October 5, 2014, 01:25
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I think you don't know what you are going to do. You should have even a little math knowledge to know, if a problem can be solved or not with the given condition.

1) You should know what boundary condition you are using. And Is the problem a hyperbolic one? You should find it out yourself
2) Second, incompressible 1D unsteady flow? OK. Then it turns out the du/dx=0. Then u=u(t). The u is uniform in space.
3) Third, somehow, you need to show that equation satisfies continue relation. God. Can you tell me what is the meaning of "that equation satisfies continuty"????

I suggest you develop a physics background first. Not try to show off in peers for how you can do with computers. Remember CFD is not computer science.

Best wishes,
Shawn
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