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Question about Mac-Cormack method in Anderson? |
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October 23, 2019, 23:49 |
Question about Mac-Cormack method in Anderson?
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#1 |
Senior Member
Mandeep Shetty
Join Date: Apr 2016
Posts: 188
Rep Power: 10 |
Hello,
As given in Chapter 7 of "Computational Fluid Dynamics, the basics with application" by -J.D.Anderson, the non-dimensional CD nozzle length is calculated as x/L, where L is the total length of the nozzle. But when presenting the results, the non-dimensional length varies from 0 to 3. Shouldn't it vary from 0 to 1? |
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October 24, 2019, 01:29 |
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#2 |
Senior Member
Mandeep Shetty
Join Date: Apr 2016
Posts: 188
Rep Power: 10 |
Can anyone confirm if this is a mistake or if there is a mathematical logic behind this?
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October 24, 2019, 09:29 |
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#3 |
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Filippo Maria Denaro
Join Date: Jul 2010
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October 30, 2019, 17:21 |
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#4 |
Senior Member
Matt
Join Date: Aug 2014
Posts: 947
Rep Power: 18 |
I think if you look at A/A* you will see that the throat (A/A*=1) occurs at x/L = 1.5. This means that x/L=1 is not the exit. If you look at the initial conditions (Fig 7.8) he plots 'non-dimensional distance' that goes 0 to 3, inlet-outlet with throat at 1.5. I think you would get the same result if you non-dimensionalize with x/L=1 at the exit. He even notes after defining the initial shape of the nozzle (Eq. 7.73) that x=1.5 is the throat so that convergence is x < 1.5 and divergence is x > 1.5.
Its an odd mathematical choice to be sure and seems to be totally arbitrary on his part. Last edited by fluid23; October 31, 2019 at 09:23. |
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