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arXiv · 2212.01983

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

Tianyi Hu·Hao Wang·Hector Gomez
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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 $\mathcal{O}(10^5)$ Reynolds number. The proposed technique provides a pathway for fundamental understanding of phase-transforming flows with multiple applications in science, engineering, and medicine.

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Tianyi Hu, Hao Wang, Hector Gomez. 2022-12-05. Direct van der Waals simulation (DVS) of phase-transforming fluids. https://arxiv.org/abs/2212.01983

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