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Добрый день. Помогите (или подскажите) пожалуйста с оптимизацией. Довольно долгий расчет (около 30 сек). Если уменьшить параметр m, то время расчета уменьшается, но хотелось бы как то оптимизировать.  Gidrodinamika.sm (106kb) downloaded 7 time(s).
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If you shorten the code, then the calculation is performed an order of magnitude faster Gidrodinamika1.sm (112kb) downloaded 16 time(s).
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Эх, по поводу "финальной" это я погорячился. Как оказалось есть недочет в 1 формуле.  Как это реализовать можно? Т.е. именно в сумму входят только нечетные номера. Edited by user 01 March 2021 11:35:21(UTC)
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I don't understand this formula, but Try to substitute 2n -1 instead of n 2n-1.sm (135kb) downloaded 11 time(s).
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Originally Posted by: Ber7  I don't understand this formula I don't understand much in there either. We can get the shape of the upper right image. 2n-1.sm (143kb) downloaded 6 time(s).
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Interesting shape but can't discretize ??? 2n-1 [Polylog].sm (9kb) downloaded 3 time(s).
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What's your comment on that ? 
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Originally Posted by: Jean Giraud What's your comment on that ?
Визуально очень похоже... нужно потестировать по ряду значений ... есть графики в книге Бирбраера (рис. 9.9). Я его оцифровывал с помощью GetData Graph Digitizer (примерно конечно). Birbraer_ris.9.9.xlsx (104kb) downloaded 5 time(s).Именно эта формула и графики одно и тоже. В Smath у меня эта эпюра ломается внизу ... пока не разобрался почему. Edited by user 01 March 2021 23:58:39(UTC)
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Originally Posted by: genf GetData Graph Digitizer We can do it in Smath providing the image is cleaned manually and the coordinates [Xmax, Xmin ...Ymax, Ymin] are given or otherwise guesstimated. Freeware Tracer can do as well but again cleaned image and coordinates. Your approximation sounds OK ... many more can be envisaged. My little Russian is dead for over 50 years . Cheers ... Jean
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Originally Posted by: Jean Giraud ... smoothed data from Tracer. ... it can be improved a bit. But, what a dirty image to digitize ! Page15 Tracer.sm (72kb) downloaded 7 time(s).
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This document resumes and compares your fitting model vs the digitized image, from improved session. You may attempt to adapt your model to the digitized data. Maybe there is a Thiele fit to your blue/red data points. I will try that soon ... Jean. 2n-1 [Jean].sm (189kb) downloaded 7 time(s).
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В книге Бирбраера рис. 9.8 несет в себе только информацию касаемо куда какая нагрузка прикладывается и форма приведена условно, т.е. схема. Сам рис. 9.8 не претендует на оцифровку - это не график, а картинка.
А вот рис. 9.9 - это набор графиков уже и именно их я и оцифровывал еще когда не разобрался с формулой 9.51.
Т.е. именно этот набор графиков определяет форму эпюры гидродинамического давления.
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In Birbraer's book, fig. 9.8 carries only information with regards to where what load is applied and the form is given conditionally, i.e. scheme. The rice itself. 9.8 does not pretend to be digitized - it is not a graph, but a picture. And here is rice. 9.9 is a set of graphs already, and it was them that I digitized even when I had not figured out the formula 9.51. Thus, it is this set of plots that determines the shape of the hydrodynamic pressure plot. ................... So, my understanding is that the formula 9.51 is the one that determines, the hydrodynamic pressure. It looks damned close parent to Eiffel Tower shape. Then, it is not needed to be discretized, simply plot scalar. However, I don't think you can plot opposite reverse, wish I'm wrong. Very interesting project, thanks ... Jean 2n-1 [Jean].sm (244kb) downloaded 14 time(s).
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