1D Incompressible ,inviscid flow

Hooman · June 8, 2010, 16:56

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!

Murni MDT · June 8, 2010, 22:51

Dear Hoovan,

Maybe you can refer to Computational Fluid Dynamics by John D. Anderson.

Murni MDT · June 8, 2010, 22:52

Dear Hooman,

Maybe you can refer to Computational Fluid Dynamics by John D. Anderson.
Hope this help.

pswpswpsw · October 5, 2014, 01:25

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

June 8, 2010, 16:56	1D Incompressible ,inviscid flow	#1
Hooman Senior Member Join Date: Jun 2010 Posts: 111 Rep Power: 15	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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June 8, 2010, 22:51		#2
Murni MDT New Member Murni Join Date: Jun 2010 Location: Malaysia Posts: 4 Rep Power: 15	Dear Hoovan, Maybe you can refer to Computational Fluid Dynamics by John D. Anderson.

June 8, 2010, 22:52		#3
Murni MDT New Member Murni Join Date: Jun 2010 Location: Malaysia Posts: 4 Rep Power: 15	Dear Hooman, Maybe you can refer to Computational Fluid Dynamics by John D. Anderson. Hope this help.

October 5, 2014, 01:25		#4
pswpswpsw New Member Shawn Join Date: Mar 2012 Posts: 21 Rep Power: 14	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