Benchmarking of three-dimensional multicomponent lattice Boltzmann equation.

Area of Science:

• Computational Fluid Dynamics
• Multiphase Flow Simulation
• Statistical Mechanics

Background:

• The lattice Boltzmann equation (LBE) is a powerful numerical method for fluid dynamics.
• Phase field methods are used to model interfaces in complex fluids.
• Multicomponent simulations require careful handling of interfacial phenomena.

Purpose of the Study:

• To validate the phase field multicomponent lattice Boltzmann equation (MCLBE) against Taylor-Einstein theory in the Stokes flow regime (Re=0).
• To demonstrate the applicability of MCLBE to new flow regimes by addressing known simulation artefacts.
• To extend MCLBE simulations to three-dimensional systems.

Main Methods:

• Implementation of advanced interfacial microcurrent artefact elimination techniques.
• Development of stability-enhancing multiple relaxation time collision models for 3D MCLBE.
• Introduction of novel interfacial interpolation schemes for enhanced accuracy.

Main Results:

• Successful validation of MCLBE against Taylor-Einstein theory for dilute suspension viscosity.
• Demonstration that MCLBE can be applied to flow regimes previously considered prohibitive due to artefacts.
• Generation of high-fidelity 3D simulation data under stringent test conditions.

Conclusions:

• The phase field MCLBE is a robust method validated for Stokes flow regime simulations.
• Recent methodological advancements significantly enhance the accuracy and applicability of MCLBE.
• MCLBE shows promise for simulating complex interfacial phenomena in previously inaccessible flow regimes.