Computing the flow map
I have a regular grid domain ( I am using finite difference) over which is defined a (time-dependent) velocity field and a density that satisfy the continuity equation.
What I want to do is to compute the associated flow map. Well, I know that this is theoretically achieved by integrating the particle paths. However, when I apply the resulting map, the image of the initial density does not match the final density.
So is there any software/library or method to compute the flow map accurately.
The flow is by the way compressible.
Thanks in advance for the help.
PS. I am a computer scientist not a CFD expert :-)
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