How to derive the 2D field and convergence based on xy gradients

Question

Jakob Sievers 2015-4-1

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https://ww2.mathworks.cn/matlabcentral/answers/195582-how-to-derive-the-2d-field-and-convergence-based-on-xy-gradients

回答： Jakob Sievers 2015-4-1

采纳的回答： Torsten

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Hi all

This might be an easy question but I am a bit stuck on it. The function gradient yields xy gradients of a 2D field:

[px,py] = gradient(z);

But how do I move the other way? I.e.: z=f(px,py) where I have px and py and f is the unknown function/mechanism. My first thought revolves around using filter2 but I can't seem to figure it out.

Secondly: What would be an easy way to determine whether a region is subject to convergence/divergence?

Any thoughts?

Cheers

Jakob

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Answer 1

Torsten 2015-4-1

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https://ww2.mathworks.cn/matlabcentral/answers/195582-how-to-derive-the-2d-field-and-convergence-based-on-xy-gradients#answer_173554

For your first question:

https://www.mathworks.com/matlabcentral/newsreader/view_thread/313599

For your second question:

I don't understand what you mean by: determine whether a region is subject to convergence/divergence ?

Best wishes

Torsten.

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Answer 2

Jakob Sievers 2015-4-1

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https://ww2.mathworks.cn/matlabcentral/answers/195582-how-to-derive-the-2d-field-and-convergence-based-on-xy-gradients#answer_173556

编辑：Jakob Sievers 2015-4-1

Hi Torsten

Thanks for the swift response!

Reg. the second question:

I would like to locate mathematically points of convergence and divergence in a vector field. For instance, given the below figure I would like to find determine automatically the region/point of divergence on the left and convergence on the right. I know it might be a silly question but it seems unclear to me, how to progress with this at the moment.