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Direct van der Waals simulation (DVS) of phase-transforming fluids
Tianyi Hu1, Hao Wang1, Hector Gomez1
1School of Mechanical Engineering, Purdue University, 585 Purdue Mall, West Lafayette, IN 47906, USA.
Science Advances
|March 17, 2023
Summary
We developed direct van der Waals simulation (DVS) for liquid-vapor phase transformations. This method enables first-principles simulation of boiling and cavitating flows, advancing our understanding of these phenomena.
Area of Science:
- Computational fluid dynamics
- Thermodynamics
- Phase transitions
Background:
- Liquid-vapor phase transformations are crucial in many scientific and engineering fields.
- Simulating these phenomena, especially boiling and cavitation, presents significant computational challenges.
- Existing methods often struggle with accuracy and scope.
Purpose of the Study:
- To introduce a novel computational method for simulating flows with liquid-vapor phase transformations.
- To enable first-principles simulations of complex phenomena like boiling and cavitation.
- To provide a tool for fundamental understanding and application development.
Main Methods:
- Developed the direct van der Waals simulation (DVS) method.
- Discretized the Navier-Stokes-Korteweg equations.
- Coupled fluid dynamics with van der Waals' nonequilibrium thermodynamic theory.
Main Results:
- Enabled unprecedented simulations of Navier-Stokes-Korteweg equations.
- Successfully simulated cavitating flows at strongly under-critical conditions.
- Achieved simulations at a Reynolds number of 𝒪(10^5).
Conclusions:
- Direct van der Waals simulation (DVS) offers a powerful new approach for studying phase-transforming flows.
- This technique opens pathways for fundamental understanding in science, engineering, and medicine.
- The method facilitates the simulation of complex flows previously inaccessible.
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