User talk:Crowsnest/Archive 3

Archive 1

Archive 2

Archive 3

Brouwer

Concerning this move: Is "Bertus Brouwer" the name you're accustomed to hearing this person called? For some decades I've always heard people call him L. E. J. Brouwer. Michael Hardy (talk) 21:52, 4 June 2013 (UTC)

You are right. I fully support your move to L. E. J. Brouwer. -- Crowsnest (talk) 07:35, 5 June 2013 (UTC)

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June 2013

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Ursell number & Keulegan–Carpenter number

Crowsnest,

Sorry, I was a bit vague with the description of the change. The consistency is with the font and introduction of other dimensionless numbers in fluid dynamics; which for a group of articles in directly related categories it is reasonable to preserve a normal look and feel. I personally believe that a similar standard is at this point necessary for these numbers and have arrived at this conclusion by considering the Dimensionless quantity#List of dimensionless quantities.

I have been motivated to use the roman font on dimensionless numbers because several of the more notable dimensionless numbers (e.g. Reynolds number, Nusselt number) were already roman, and it is a standard I find makes more sense. My view is that these numbers are not variables in the sense of pressure or volume, but are parameters of the system, which makes it reasonable to denote them differently. This is further emphasized by the fact that they are usually abbreviations of a person's name; so much as the elements are never abbreviated in italic font, the dimensionless numbers should follow the same line of thought. Finally, it is normally implied that two italic letters without space between them stand for two different multiplied variables, however in the case of the dimensionless numbers the two letters stand for a single quantity. Roman fonts are used to indicate a single group in the case of mathematical operators such as sin, log, etc. Thus, I similarly find that the roman font is more clear because it gives distinction to the number as a group of its own.

I also revised the first sentences to introduce the symbol of the dimensionless number in parenthesis and bolded immediately following the first mention of the name. Again, I had observed this in other pages before my own edits, and I felt it was a very helpful idea so that immediately the reader would know what the common symbol for this number is and have an easy place to reference it. I have seen the abbreviation not mentioned until right before (and a few times right after) the defining equation; this is technically fine, but not as helpful as making it clear from the start. I chose the parenthesis because it was very simple and easy to stay consistent (there were several variants, along the lines of ", denoted U," or ", U,") and to bold the symbol because that is where the symbol is being defined.

Please consider redoing my revisions. With regards, Eric; Rememberlands (talk) 23:14, 27 June 2013 (UTC)

Hello Rememberlands, there are some guidelines for writing articles at Wikipedia, from which as far as I can see MOS:MATH and MOS:BOLD are the most relevant for the present subject. Outside these there is also a lot of freedom in how to set up a (scientific) article. Quoting from MOS:MATH#Mathematical_conventions:

"However, each article may establish its own conventions. For example, an article on a specialized subject might be more clear if written using the conventions common in that area. Thus the act of changing an article from one set of conventions to another should not be undertaken lightly."

The point with your edits is, that the use of roman font for dimensionless numbers (like the Reynolds number) is not standard (either in- or outside Wikipedia). Neither is notation of the Ursell number with U or the Keulegan–Carpenter number with KC or K_C a standard in the coastal and offshore engineering world. Writing these in boldface conflicts with MOS:BOLD. Wikipedia is an encyclopedia, so it does not set standards – it describes and follows them. Best regards, Crowsnest (talk) 00:10, 28 June 2013 (UTC)

Crowsnest, thanks for the reply. No worries, I have no issue with letting the articles to have their own design. Also, I had not yet seen the page on bolding, so I appreciate you pointing it out. I further found MOS:BOLDSYN; I think there is precedence in the policies to introduce the symbol in bold parenthesis. However, I still recommend defining the symbols in the first sentences, in whatever form seems most appropriate, but I will leave that to your discretion. Regards, Eric; Rememberlands (talk) 21:31, 28 June 2013 (UTC)

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Re: Thank you

No worries. If you need another page imported, feel free to get in touch with me. Graham87 14:33, 6 September 2014 (UTC)

Regarding the renaming of the article Anglo-Dutch Wars

Firstly, hello.

I was just about to rename Anglo-Dutch Wars, as well as the articles on each of the four wars, such that it makes proper use of an en dash; however, I noticed on the former's move log that you had previously done so in 2009. Thus, before going ahead with the move, I was wondering if you have any idea as to why the page is currently called "Anglo-Dutch Wars" with "Anglo–Dutch Wars" set to redirect to it, and why the same is true for the other articles.

Thanks,

~zziccardi (talk) 19:25, 6 September 2014 (UTC)

Hi Zziccardi, please see this move. Perhaps you can ask Good Olfactory about this: I am not a native English-speaking person. Good luck and best regards, Crowsnest (talk) 19:35, 6 September 2014 (UTC)

Hello. Actually, that link clarified the situation for me, so contacting Good Olfactory won't be necessary. Thank you very much for your assistance, ~zziccardi (talk) 21:17, 6 September 2014 (UTC)

Merger discussion for Multiscale mathematics

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Stokes drift

Will you please provide your implementation details (of the plotted equations) when you created the OGV animation related to Stokes wave with drift? I am trying to clarify a doubt: the drift velocity does not appear in the expression of the free surface elevation (to fix ideas, say a second-order approximation). However in the expressions for the particle trajectories we have an explicit term that corresponds to the drift velocity.

The confusing part is this: The free surface height obtained by solving the asymptotic sequence of the potential flow equations gradually separate (with the drift velocity) from the free surface tracked by the particle trajectories.

However, in the OGV animation you posted/created no such phase errors occur. Will you please share the equations that you plotted to create this OGV image? — Preceding unsigned comment added by Nadukandi (talk • contribs) 14:00, 13 April 2015‎ (UTC)

Please see the description page of the animation at Commons, for the computational techniques used to obtain the flow associated with the wave motion. Best regards, Crowsnest (talk) 11:30, 16 April 2015 (UTC)

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Shallow water gif

Hey! My name is Chris. I am very interested in replicating this gif you cited as your own work (https://en.wikipedia.org/wiki/File:Tsunami_with_Boussinesq_and_Shallow_water_equations.gif). ¿Can you give me any pointers? I have taken an intro class to differential equations before. I don't know how to implement the differential equations. Thank you for reading this. — Preceding unsigned comment added by 62.101.182.98 (talk) 23:57, 5 January 2017 (UTC)

Dear Chris, thank you very much for your interest. Please have a look at e.g. http://www.celeria.org. They provide an open-source model which can be run as Boussinesq-type wave model or shallow-water equations model. Details on the use and implementation can be found in the documentation provided, as well as on Youtube. Best regards, Crowsnest (talk) 00:11, 6 January 2017 (UTC)

UPDATE: http://imgur.com/a/lgsON

In the end it looks quite similar to yours. — Preceding unsigned comment added by 62.101.182.98 (talk) 21:02, 6 January 2017 (UTC)

OK, good luck with your study. I am happy you get something similar. All the best, Crowsnest (talk) 13:41, 7 January 2017 (UTC)

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Thanks for creating Craik–Leibovich vortex force, Crowsnest!

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Coastal Engineering Page

Dear Crowsnest: I take it you did not like my edits, since you deleted every one. You saw no value whatsoever? I was trying to make the page friendly for young users, and lay persons. — Preceding unsigned comment added by Kprainville (talk • contribs) 22:02, 1 October 2018 (UTC)

Kutta condition

Hi Crowsnest. We are under siege at Talk:Kutta condition#"An aircraft with a wing with a smoothly rounded trailing edge would generate little or no lift.". If you are able to comment that would be appreciated. Regards. Dolphin (t) 13:20, 7 October 2018 (UTC)

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Cnoidal wave

Sorry but this maybe not limited to a gravity wave as you said but it is induced in reaction to gravity like any water waves, so it is a gravity wave, too :

Gravity waves are waves generated in a fluid medium or at the interface between two media when the force of gravity or buoyancy is present

. Why removed Category:Gravity waves instead of just added back up Category:Water waves even if it is redundant as that category should be in Gravity waves?

Pierre cb (talk) 20:57, 5 May 2020 (UTC)

Dear Pierre cb, thanks for your question. As you probably know: the effect of gravity as a restoring force is negligible for very short water waves (capillary waves) on the water surface. In capillary waves it is surface tension that provides the restoring force, not gravity. There are cnoidal-wave models for capillary waves in shallow water. So to my opinion the category "gravity waves" is too limited in scope. Best regards, Crowsnest (talk) 13:25, 9 May 2020 (UTC)

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Your wonderfull animation File:Karman_trefftz.gif

Hello Crowsnest ! Thank you for your wonderfull animation. I drew from it another animation in body reference (see opposite). I only got it by image processing ! so it would be useful if you could do the same animation in inviscid calculus ! What do you think ? Friendly, Bernard de Go Mars (talk) 09:39, 21 April 2021 (UTC). My french user page.

Dear Bernard de Go Mars, thank you for the beatiful animation. What it is showing – besides the equal transit-time fallacy – is the so-called Darwin drift due to the passage of the airfoil. I will have a look whether I can still find the code to make the animation, and adapt it. Kind regards, Crowsnest (talk) 21:48, 22 April 2021 (UTC)

Hello Crowsnest ! Thanks for your answer. What I'm not sure is the speed of the particles at the top and bottom of the image: I don't know if they are really stationary (or almost) at this distance from the profile ... Take a look if you can adapt your code! It will be great ! Sincerely, Bernard de Go mars. — Preceding unsigned comment added by Bernard de Go Mars (talk • contribs) 15:01, 26 April 2021 (UTC)

Hello Crowsnest ! Did you think to look after the code to make the right animation ! Regards, Bernard de Go Mars.

A (not so quick) question

Hello, I am having trouble deriving the equation for the phase speed of waves in shallow water, $c_{p}=c_{g}={\sqrt {gh}}$ from the Korteweg-de Vries equation. I was wondering if you might be able to help, since you contributed to a related page. I have got as far as the single solition solution $u(x,t)=-2sech^{2}(x-4t)$, but I fear I might have missed something really simple, or gone down the wrong path. Is there any way you could help? — Preceding unsigned comment added by Thamesmonster (talk • contribs) 17:05, 14 June 2021 (UTC)

Hi, you can take a look at cnoidal wave for the phase velocity. Group velocity is complicated for the KdV equation. In Dingemans "Water waves over uneven bottoms", Part 2, section 6.9.4 an estimate is made of the mean energy and mean energy flux of cnoidal waves, which can be used to estimate the group velocity.

For the solitary wave solution of the KdV equation, the phase velocity follows from the condition that far from the wave the water is at rest.

And for linear theory, i.e. infinitesimal waves, in shallow water the phase and group velocities follow directly from the shallow-water limit of Airy wave theory, resulting in $c_{p}=c_{g}={\sqrt {gh}},$ as quoted by you. -- Crowsnest (talk) 19:07, 23 June 2021 (UTC)

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A barnstar for you!

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		For your work on energy cascade, an article accessible to many people despite the technical complexity of the topic. TigraanClick here for my talk page ("private" contact) 17:12, 26 September 2022 (UTC)

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