A three-dimensional multi-phase-field vesicles model and its practical finite difference solver

Authors: Yutong Wu, Zecheng Qiu, Junxiang Yang

This paper presents a three-dimensional multi-phase-field vesicles model and discusses its practical finite difference solver. It is currently published in Computer Physics Communications (CPC).

Highlights:

• New phase-field model is developed for multiple vesicles.
• The model satisfies the global constraints preserving properties.
• A practical and easy finite difference method is presented.
• The simulation code is shared for the interested readers.

Role & Responsibilities:

• Engineered the Core Solver: Developed a high-performance C++ numerical solver from scratch, successfully implementing a semi-implicit finite difference scheme for 3D vesicle dynamics.
• Validated Model Fidelity: Performed extensive sensitivity analysis and parameter tuning, ensuring the simulation strictly adhered to energy conservation laws and global constraints.
• Delivered Research Impact: Co-authored the published manuscript and managed the open-source code release, ensuring high reproducibility through detailed documentation and build automation.

Phase-field simulation of 8 spherical vesicles with 2 phase-field variables.

Phase-field simulation of 3 stacked vesicles with distinct phase-field variables.

Recommended citation: Y. Wu, Z. Qiu, J. Yang, A three-dimensional multi-phase-field vesicles model and its practical finite difference solver,Computer Physics Communications 321 (2026) 110053.
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