Consistent Thermo-Capillarity and Thermal Boundary Conditions for Single-Phase Smoothed Particle Hydrodynamics

Area of Science:

• Computational physics
• Fluid dynamics
• Numerical modeling

Background:

• Capillary phenomena are crucial in various scientific and engineering fields.
• Existing models often require explicit interfaces, increasing computational cost.
• Temperature dependency and thermal boundary conditions are essential for accurate modeling.

Purpose of the Study:

• To develop a computationally efficient model for capillary phenomena using smoothed particle hydrodynamics (SPH).
• To incorporate temperature dependency and thermal boundary conditions into the SPH framework.
• To provide a robust model applicable to complex fluid dynamics scenarios.

Main Methods:

• Utilized smoothed particle hydrodynamics (SPH) for numerical simulation.
• Developed a surface identification mechanism based on the SPH renormalization tensor.
• Calculated continuum surface force (CSF) properties (delta function, normal vector, curvature) consistently.

Main Results:

• Presented a single-phase fluid model, enhancing computational efficiency.
• Successfully validated the model against numerous analytical test cases.
• Demonstrated the model's applicability to complex scenarios.

Conclusions:

• The proposed SPH model offers an efficient and accurate approach to simulating capillary phenomena with thermal effects.
• The model's consistent calculation of surface properties and validation confirm its reliability.
• This method provides a valuable tool for studying complex fluid behavior in various applications.