Noise itself could solve fluid simulation problem, study suggests
Researchers found that adding the right kind of noise to fluid equations on spheres mimics friction without distorting other properties—a finding that could improve weather forecasts and climate models. The discovery offers a practical shortcut for simulating complex planetary flows where computing power is limited.
Originaltitel: DIFFUSIVE BEHAVIOR OF TRANSPORT NOISE ON S2
We investigate theoretically and numerically transport noise-induced diffusion in flows on the sphere. Previous analysis on the torus has shown that suitably chosen transport noise in the Euler equations leads to diffusive behavior resembling the Navier-Stokes equations. Here, we analyze dynamics on the sphere with noise-induced differential operator dissipation and characterize their energy and enstrophy decay properties. Through structure-preserving numerical simulations with the Zeitlin discretization, we demonstrate that appropriately scaled transport noise induces energy dissipation while preserving enstrophy and coadjoint orbits. The presented analysis provides a foundation for further theoretical investigation of transport noise and supports the calibration of transport noise models as a parametrization for unresolved processes in geophysical fluid simulations.