Timeline for I failed to solve a set of one-dimension fluid mechanics PDEs with NDSolve
Current License: CC BY-SA 4.0
20 events
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| Oct 5, 2018 at 5:36 | history | edited | xzczd♦ | CC BY-SA 4.0 |
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| Feb 16, 2018 at 17:29 | comment | added | dearN |
As late as this is, changing the Method from Adams to LSODA made is really fast to run.
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| Jun 27, 2016 at 13:45 | history | edited | xzczd♦ | CC BY-SA 3.0 |
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| Dec 21, 2012 at 9:32 | history | edited | user21 | CC BY-SA 3.0 |
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| Aug 17, 2012 at 20:32 | comment | added | Albert Retey | @ruebenko: thanks for the explanation (I'm late, haven't been on my computer for a while...) | |
| Aug 16, 2012 at 16:12 | comment | added | user21 | @xzczd, have a look at tutorial/NDSolvePDE (enter this in the help brwoser). Also, if you go to the NDSolve reference page there are a bunch of tutorials. Among them is tutorial/NDSolveOverview. Sorry, OP means original poster - so you in this case ;-). | |
| Aug 16, 2012 at 15:29 | comment | added | xzczd♦ | @ruebenko Well, where can I find the details of those methods for NDSolve? The document seems not say much about them…by the way, OP is the abbreviation for what? | |
| Aug 16, 2012 at 15:11 | vote | accept | xzczd♦ | ||
| Oct 5, 2018 at 7:01 | |||||
| Aug 14, 2012 at 5:46 | comment | added | xzczd♦ | @ruebenko Hehe, after times of trial I found my computer with 2GB memory can only bear a t around 0.736 at most… | |
| Aug 13, 2012 at 16:20 | history | edited | user21 | CC BY-SA 3.0 |
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| Aug 13, 2012 at 16:19 | comment | added | user21 |
@AlbertRetey, in this case the error message NDSolve::ndsz made me try Method->Adams (which actually is not needed) as an alternative to the automatic stiffness switching. NDSolve::eerr: made me choose my own grid. The DifferenceOrder was because OP mentioned something about the boundary conditions in the post and that made me think this might be worth a try. So, yes, some experience and a try. I do have a note where I collect these type of questions and solutions that are found for them and then I consult this when needed. This might be something for a community wiki.
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| Aug 13, 2012 at 16:09 | comment | added | user21 | @xzczd, I am not sure what the minimum is, I uses a Linux-x86-64 with 4GB memory and did not have any problems. | |
| Aug 13, 2012 at 16:07 | comment | added | user21 | @VitaliyKaurov, thanks for adding the pictures. | |
| Aug 13, 2012 at 16:07 | comment | added | user21 |
@PlatoManiac, there are a few things you can try: not using the EvaluationMonitor and/or using a lower AccuracyGoal and PrecisionGoal - with lowering those you may get away with using a smaller grid too.
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| Aug 11, 2012 at 13:51 | comment | added | xzczd♦ | @ruebenko Wonderful!…well, but I wonder what's the minimum system requirements for the code? | |
| Aug 11, 2012 at 10:15 | comment | added | Albert Retey | @ruebenko: can you explain how you found that exactly this combination of options does work? Do you have a strategy how to find a working set of parameters or are you using a clever combination of experience+guessing+trying? If you could explain, that would probably make the answer even more valuable, you eared a +1 anyway... | |
| Aug 11, 2012 at 9:15 | comment | added | Vitaliy Kaurov | @ruebenko Big +1 - I am in awe you got this to work. I was almost sure there is an intrinsic divergence. I was also trying "Pseudospectral" with cyclic BC but to no avail. I am still puzzled why this works an nothing else does. I took a liberty to plot the beautiful solutions. Please feel free to remove my edit if you feel it's inappropriate. | |
| Aug 11, 2012 at 9:11 | history | edited | Vitaliy Kaurov | CC BY-SA 3.0 |
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| Aug 10, 2012 at 19:26 | comment | added | PlatoManiac |
any chance of making it faster? Is it the optimal speed for NDSolve?
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| Aug 10, 2012 at 14:59 | history | answered | user21 | CC BY-SA 3.0 |