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Is this a right way of computing Jacobian matrix of a velocity field?

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Mirlan Karimov
Mirlan Karimov 2020-6-3
评论： Licheng Feng 2021-6-29
Hi there,
I am computing the Jacobian of velocity field V = [vx; vy; vz].
I take a numerical gradient of a vector field
[gradxVx,gradyVx,gradzVx] = gradient(vx,stepx,stepy,stepz);
[gradxVy,gradyVy,gradzVy] = gradient(vy,stepx,stepy,stepz);
[gradxVz,gradyVz,gradzVz] = gradient(vz,stepx,stepy,stepz);
Step sizes are spacings in corresponding directions because: without declaring the spacing, The spacing between points in each direction is assumed to be 1.
In the following step, I just assemble the partial derivatives in each point to get the Jacobian at that point.
Is this is a right way of computing Jacobian matrix?
  1 个评论
Licheng Feng
Licheng Feng 2021-6-29
Hi, I have the same question, how to compute the jacobian of vector field, given a series discrete points. Do you solve this problem?

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