English

Direct van der Waals simulation (DVS) of phase-transforming fluids

Fluid Dynamics 2022-12-06 v1 Computational Physics

Abstract

We present the method of Direct van der Waals simulation (DVS) to study computationally flows with liquid-vapor phase transformations. Our approach is based on a novel discretization of the Navier-Stokes-Korteweg equations, that couple flow dynamics with van der Waals' non-equilibrium thermodynamic theory of phase transformations, and opens an opportunity for first-principles simulation of a wide range of boiling and cavitating flows. The proposed algorithm enables unprecedented simulations of the Navier-Stokes-Korteweg equations involving cavitating flows at strongly under-critical conditions and O(105)\mathcal{O}(10^5) Reynolds number. The proposed technique provides a pathway for fundamental understanding of phase-transforming flows with multiple applications in science, engineering, and medicine.

Keywords

Cite

@article{arxiv.2212.01983,
  title  = {Direct van der Waals simulation (DVS) of phase-transforming fluids},
  author = {Tianyi Hu and Hao Wang and Hector Gomez},
  journal= {arXiv preprint arXiv:2212.01983},
  year   = {2022}
}
R2 v1 2026-06-28T07:21:46.991Z