Two-phase Impulse Fluid on Particle Flow Map.

Area of Science:

• Computational fluid dynamics
• Multiphase flow simulation

Background:

• Simulating complex two-phase flows presents challenges in accurately tracking interfaces and handling fluid dynamics.
• Existing methods often struggle with preserving sub-grid geometric features and managing interfacial discontinuities.

Purpose of the Study:

• To introduce a novel particle flow map framework for high-fidelity simulation of complex two-phase flows.
• To enhance geometric accuracy and physical fidelity in multiphase flow simulations.

Main Methods:

• Utilizes a unified Lagrangian formulation with a shared flow map for interface evolution and fluid dynamics.
• Employs a particle-flow-map-based level set with hybrid reinitialization for interface tracking.
• Introduces an impulse-based solver for efficient and accurate handling of interfacial discontinuities.

Main Results:

• Achieves enhanced geometric accuracy and physical fidelity compared to existing two-phase solvers.
• Successfully preserves sub-grid geometric features and ensures topological stability.
• Faithfully captures the interplay between vortical motion and complex interface geometry.

Conclusions:

• The particle flow map framework offers a robust and accurate approach for simulating complex two-phase flows.
• The method demonstrates capability in reproducing challenging phenomena like breaking waves and whirlpool drainage.
• This framework advances the state-of-the-art in computational fluid dynamics for multiphase systems.