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An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids

An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids

Published on: December 4, 2017

Lattice-type-dependent momentum-exchange method for moving boundaries.

Binghai Wen¹, Huabing Li, Chaoying Zhang

¹Shanghai Institute of Applied Physics, Chinese Academy of Sciences, Shanghai 201800, China.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics

|March 10, 2012

Summary

A new lattice-type-dependent momentum-exchange method (LME) accurately calculates hydrodynamic forces on moving boundaries in lattice Boltzmann simulations. This method overcomes limitations of the conventional momentum-exchange method (CME) for dynamic boundary conditions.

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Area of Science:

Computational fluid dynamics
Fluid mechanics
Numerical simulation

Background:

The conventional momentum-exchange method (CME) is accurate for stationary boundaries but may fail for moving boundaries in lattice Boltzmann simulations.
Accurate simulation of hydrodynamic forces on moving boundaries is crucial for various fluid dynamics applications.

Purpose of the Study:

To develop a novel lattice-type-dependent momentum-exchange method (LME) for accurate calculation of hydrodynamic forces on moving boundaries.
To address the limitations of CME in lattice Boltzmann simulations with dynamic boundaries.

Main Methods:

A lattice-type-dependent momentum-exchange method (LME) was developed, considering additional momenta from type-changing lattices.
The LME algorithm is geometry-independent, avoiding interpolation and integration for computational efficiency.
Simulations were performed in 2D and 3D.

Main Results:

LME demonstrated accuracy and robustness in simulating cylinder sedimentations, with results agreeing well with the arbitrary Lagrangian-Eulerian (ALE) technique.
Simulations of neutrally buoyant cylinders in Poiseuille flow showed lateral migration consistent with the Segré-Silberberg effect.
LME preserves the reliability, simplicity, and parallelism of CME.

Conclusions:

LME provides an accurate and efficient approach for evaluating hydrodynamic forces on moving boundaries in lattice Boltzmann simulations.
The method is versatile, applicable to various boundary geometries and dimensions.
LME offers a reliable alternative to existing methods for complex fluid dynamics problems involving moving boundaries.