Counter-extrapolation method for conjugate interfaces in computational heat and mass transfer.

Area of Science:

• Computational fluid dynamics
• Heat and mass transfer
• Numerical methods

Background:

• Accurate simulation of interface phenomena is crucial for heat and mass transfer problems.
• Existing conjugate models often lack simplicity or broad applicability.
• Lattice Boltzmann methods offer a powerful framework for complex fluid dynamics.

Purpose of the Study:

• To develop a novel conjugate interface method for lattice Boltzmann simulations.
• To validate the method's accuracy and applicability across various interface geometries and flow conditions.
• To demonstrate the model's utility in analyzing practical heat transfer scenarios.

Main Methods:

• A conjugate interface method based on normal direction extrapolations.
• Validation using steady and unsteady convection-diffusion systems with flat and circular interfaces.
• Simulation of a hot cylinder cooling process in a cold flow to assess practical applications.

Main Results:

• The developed method shows technical advantages: simple algorithm, accurate geometry representation, and orientation independence.
• Excellent agreement between lattice Boltzmann results and analytical solutions for validation cases.
• The model successfully simulated a complex unsteady convection-diffusion process, examining heat capacity and thermal diffusivity effects.

Conclusions:

• The conjugate interface method is accurate, versatile, and validated for convection-diffusion systems.
• The study confirms physical principles regarding heat transfer in cooling processes.
• The method's core concept is extensible to other lattice Boltzmann models and computational technologies.