Regularization of stochastic fluid dynamics and non-perturbative renormalization of the shear viscosity of incompressible fluids
Year: 2026
Type: preprint
Abstract: We propose a regularization of stochastic fluid dynamics that preserves all relevant symmetries. By considering an incompressible fluid, we demonstrate explicitly that the regularized theory is UV finite, and therefore admits a continuum limit. Strikingly, the regularized theory of stochastic fluid dynamics is not only amenable to direct numerical simulations of the lattice discretized theory, but also to functional methods in the continuum. We exploit this to perform renormalization group improved perturbative calculations of the renormalization of the shear viscosity of an incompressible fluid in two and three spatial dimensions, and compare our results to direct numerical simulations of the lattice discretized theory.
Source: arXiv (Cornell University)
Institution: Bielefeld University
Language: English
Subfield: Computational Mechanics
Field: Engineering
Domain: Physical Sciences
Open Access status: green
Funders: Strong, Deutsche Forschungsgemeinschaft
OpenAlex ID: W7222961687