Gaussian kinetic representations of rarefied nonequilibrium flows

Ehsan Roohi

Gaussian kinetic representations of rarefied nonequilibrium flows

Fluid Dynamics 2026-07-07 v1

Authors: Ehsan Roohi

Abstract

Compact representations of rarefied flows must preserve kinetic observables, not only smooth macroscopic fields. We introduce Gaussian kinetic representations for discrete velocity method (DVM)-Shakhov solutions of normal shocks and a lid-driven cavity. A positive log-density phase-space model reconstructs shock velocity distribution functions (VDFs) and their moments, while a moment-field model compresses wall-bounded cavity structure. Log-density training recovers heat flux, stress, and third- and fourth-order shock moments without explicit moment supervision; the cavity representation gives a compact continuous wall-transport map.

Cite

@article{arxiv.2607.05753,
  title  = {Gaussian kinetic representations of rarefied nonequilibrium flows},
  author = {Ehsan Roohi},
  journal= {arXiv preprint arXiv:2607.05753},
  year   = {2026}
}