In 2D Euler flows, the structure-preserving SALT noise concentrates variance at vorticity gradients and scales as |k|² relative to the energy-preserving SFLT noise, which spreads variance diffusely.
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Numerical comparison of energy- versus circulation-preserving stochastic vortex dynamics
In 2D Euler flows, the structure-preserving SALT noise concentrates variance at vorticity gradients and scales as |k|² relative to the energy-preserving SFLT noise, which spreads variance diffusely.