I would like to get some advice from you that I am confused to convert the Cartesian coordinate system to a flow-oriented coordinated system during XYZ data interpolation?
search for ‘flow geometry coordinates” and it should throw up a Science Direct website on Flow Geometry. It’s maths are beyond me, but the explanations are good.
In the field of 3D boundary layer, a term 'streamflow coordinate system' is used to describe the flow equations. I believe this is the same as flow-oriented coordinate system. Anyway, the streamflow coordinate system offers many advantages to the analyst since many of the terms in Navier-Stokes equation become simpler. You may search the literature in the area mechanical or aeronautical engineering. From years ago (about 30 years), I remember names like Johnston, Pierce, and Bradshaw.