Web: http://arxiv.org/abs/2209.10707

Sept. 23, 2022, 1:13 a.m. | Houman Owhadi

stat.ML updates on arXiv.org arxiv.org

We present a Gaussian Process (GP) approach (Gaussian Process Hydrodynamics,
GPH) for solving the Euler and Navier-Stokes equations. As in Smoothed Particle
Hydrodynamics (SPH), GPH is a Lagrangian particle-based approach involving the
tracking of a finite number of particles transported by the flow. However,
these particles do not represent mollified particles of matter but carry
discrete/partial information about the continuous flow. Closure is achieved by
placing a divergence-free GP prior $\xi$ on the velocity field and conditioning
on vorticity at …

arxiv physics process

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