Particle approximation in SPH

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created: 2022-04-26 11:36:51
modified: 2022-04-26 21:13:16

We have seen that we can approximate functions using an integral an an arbitrary smoothing function. In SPH, we use the discretized version of this technique for represent the particles of the simulated medium:

Where is the mass, is the density and is the position of the th neighboring particle of the particle in .

This way we can approximate field values that are stored as attributes of particles.