Оптимизация

#1 Pubblicato: 27/02/2021 17:04:03

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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 (105,86 KiB) scaricato 1260 volta(e).

#2 Pubblicato: 27/02/2021 19:33:13

Fridel Selitsky

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If you shorten the code, then the calculation is performed
an order of magnitude faster

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Serg 28/02/2021 04:17:00

#3 Pubblicato: 28/02/2021 16:05:02

genf

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Финальный расчет во вложении.
Большое спасибо Ber7 за помощь в оптимизации

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#4 Pubblicato: 01/03/2021 05:18:30

genf

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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.

#5 Pubblicato: 01/03/2021 07:16:06

Fridel Selitsky

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I don't understand this formula, but Try to substitute 2n -1 instead of n

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Serg 01/03/2021 07:39:00

#6 Pubblicato: 01/03/2021 07:40:11

genf

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Wrote
I don't understand this formula, but Try to substitute 2n -1 instead of n

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Да это то, что нужно. Спасибо.
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#7 Pubblicato: 01/03/2021 11:37:12

Jean Giraud

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Wrote
I don't understand this formula

I don't understand much in there either.
We can get the shape of the upper right image.

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#8 Pubblicato: 01/03/2021 14:32:53

Jean Giraud

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Interesting shape but can't discretize ???

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#9 Pubblicato: 01/03/2021 16:51:45

Jean Giraud

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What's your comment on that ?

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Serg 01/03/2021 17:51:00

#10 Pubblicato: 01/03/2021 17:55:59

genf

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Wrote
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 (103,48 KiB) scaricato 890 volta(e).
Именно эта формула и графики одно и тоже.

В Smath у меня эта эпюра ломается внизу ... пока не разобрался почему.

#11 Pubblicato: 01/03/2021 20:51:55

Jean Giraud

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Wrote
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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Serg 02/03/2021 10:33:00

#12 Pubblicato: 01/03/2021 22:57:15

Jean Giraud

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... smoothed data from Tracer.

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#13 Pubblicato: 02/03/2021 02:38:47

Jean Giraud

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Wrote
... smoothed data from Tracer.

... it can be improved a bit. But, what a dirty image to digitize !

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#14 Pubblicato: 02/03/2021 14:23:15

Jean Giraud

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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.

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Serg 02/03/2021 15:16:00

#15 Pubblicato: 02/03/2021 15:20:35

genf

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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.

#16 Pubblicato: 02/03/2021 16:58:13

Jean Giraud

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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

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