Navier-Stokes Regularization via Schrödinger-Poisson Phase Field: A Topologically Stable Surrogate Model for Computational Fluid Dynamics

This repository contains the theoretical framework and the numerical implementation (Python) of a novel regularization method for the 3D incompressible Navier-Stokes equations. By coupling macroscopic fluid dynamics with a quantum phase field (Schrödinger-Poisson / Gross-Pitaevskii formalism), we introduce a topological vorticity mechanism that absorbs extreme turbulent fluctuations. This "quantum pressure" prevents the finite-time singularities (blow-up) inherent to standard CFD solvers.