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gianfry10-Marble
10-Marble
April 12, 2024
Solved

Conformal Mapping in MATHCAD PRIME

  • April 12, 2024
  • 1 reply
  • 2218 views

Good evening.

I would like to implement a MATHCAD PRIME worksheet to map a solution on a circle to another domain. This technique is well known as conformal transformation. However, I tried to solve it numerically without success. I use this to predict the potential flow pressures around a body in 2D. Does anyone knows if this problem has already beel solved and indicating in which thread? I tried with the search function on the website, but no results. Thanks in advance for the support. 

Best answer by Werner_E

Which kind of conformal map function do you have in mind? f(z):=1/z or inversion (f(z)=1/conjugate z).

 

Here is a quick hack. The mapping is done point by point, not analytically.

You may chose your own mapping function.

Hope it helps.

Werner_E_0-1712958366530.png

 

Prime10 file attached

 

1 reply

W
Werner_E25-Diamond IAnswer
25-Diamond I
April 12, 2024

Which kind of conformal map function do you have in mind? f(z):=1/z or inversion (f(z)=1/conjugate z).

 

Here is a quick hack. The mapping is done point by point, not analytically.

You may chose your own mapping function.

Hope it helps.

Werner_E_0-1712958366530.png

 

Prime10 file attached

 

    G
    gianfry10-MarbleAuthor
    10-Marble
    April 12, 2024

    Good night Werner.

     

    Thanks for the mapping solution. Unfortunately the domain I need to map into a unit circle is not described with a function, but by points. I am talking about a wing section.

    I think that if I provide a vector of value your algorithm should work. Am I correct in my understanding?

     

    G
    gianfry10-MarbleAuthor
    10-Marble
    April 12, 2024

    gianfry_0-1712960682478.png

     

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