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Multipseudopotential interaction: a solution for thermodynamic inconsistency in pseudopotential lattice Boltzmann
Sorush Khajepor1, John Wen2, Baixin Chen1
1School of Engineering and Physical Sciences, Heriot-Watt University, Edinburgh EH14 4AS, United Kingdom.
Summary
This study introduces a multipseudopotential interparticle interaction (MPI) scheme for lattice Boltzmann (LB) models, ensuring thermodynamic consistency. The new MPI scheme accurately simulates real fluid behavior, including phase transitions and two-phase systems.
Area of Science:
- Computational fluid dynamics
- Thermodynamics
- Statistical mechanics
Background:
- Pseudopotential lattice Boltzmann (LB) models are efficient for simulating fluid systems.
- Existing models lack thermodynamic consistency when implementing real fluid equations of state (EOS).
Purpose of the Study:
- To present a thermodynamically consistent multipseudopotential interparticle interaction (MPI) scheme for LB models.
- To enable accurate simulation of real fluids and engineering applications.
Main Methods:
- Developed a novel multipseudopotential interparticle interaction (MPI) scheme.
- Employed multiple pseudopotentials to model interactions at varying particle mean free path extents.
- Simulated van der Waals and Carnahan-Starling fluids to validate the scheme.
Main Results:
- The MPI scheme achieves thermodynamic consistency, unlike previous models.
- Accurately simulates two-phase systems, including liquid-vapor coexistence and sound speeds.
- Represents molecular interactions across different ranges during phase transitions.
Conclusions:
- The MPI scheme is a reliable LB method, avoiding unphysical potentials and spurious velocities.
- It accurately implements real fluid EOS and is suitable for engineering applications.
- A procedure for presetting MPI systems with fluid properties is proposed.
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