A numerical scheme for the early steps of nucleation-aggregation models

Area of Science:

• Physical Chemistry
• Materials Science
• Computational Science

Background:

• Particle cluster formation involves nucleation, polymerization, fragmentation, and coalescence.
• Accurate simulation of reaction kinetics across orders of magnitude in particle size is challenging.
• Early and late-stage reactions require robust numerical methods.

Purpose of the Study:

• To develop an efficient and conservative numerical scheme for simulating particle cluster formation kinetics.
• To accurately model both the initial nucleation phase and subsequent chain reactions.
• To address the challenges posed by large disparities in particle and aggregate sizes.

Main Methods:

• A conservative scheme based on finite volume methods.
• Utilizes an adaptive grid for efficient computation.
• Simulates spontaneous aggregation into nuclei and subsequent reactions.

Main Results:

• The proposed scheme effectively captures the early nucleation steps.
• The method accurately simulates later chain reactions in particle aggregation.
• Demonstrates capability in handling reactions across significant size scales.

Conclusions:

• The finite volume method on an adaptive grid provides a robust approach for simulating particle cluster formation.
• This scheme offers accurate kinetic modeling from initial nucleation to complex chain reactions.
• The method is crucial for understanding and predicting the behavior of aggregating systems.