For smooth positive initial vorticity, the random batch vortex blob method converges to the regularized 2D Navier-Stokes solution with relative entropy error O(epsilon^-4 tau^2 + N^-1).
Mean field error estimate of the random batch method for large interacting particle system.ESAIM: Mathematical Modelling and Numerical Analysis, 59(1):265–289, 2025
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Mean field error estimate of the random batch method for vortex blob dynamics for the 2D Navier--Stokes Equation
For smooth positive initial vorticity, the random batch vortex blob method converges to the regularized 2D Navier-Stokes solution with relative entropy error O(epsilon^-4 tau^2 + N^-1).