particle self contribution
Hello,
This might be a well known question but when approximating densities or any quantity, do we include contribution from the center particle itself? If yes, does it not result in some sort of a bias, since it would have the highest contribution?
If there are previous studies on this, I am sure there are, could you people please write down in the discussion below which papers I should refer to?
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Comments
I have recently started reading Daniel Price's thesis in my free time (https://users.monash.edu.au/~dprice/pubs/index.html#thesis) and the 2012 review paper. And it is making me realize that the generic SPH documents/resources that usually go something like "this is SPH particle approximation and this is the Navier Stokes discretization" are actually not touching so many important points.
I would really appreciate if you could recommend resources where I could learn more about the essence of the method as well as its origins in probability theory.
For future references, this study explains the bias in density estimate, and the accuracy of SPH density estimate in great detail
https://iopscience.iop.org/article/10.1088/0004-637X/800/1/6