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Particle–Grid Hybrid Simulation of the Gray–Scott Reaction–Diffusion Model for Representing Subgrid Turbulent Details

  • Journal of The Korea Society of Computer and Information
  • Abbr : JKSCI
  • 2025, 30(12), pp.177~183
  • Publisher : The Korean Society Of Computer And Information
  • Research Area : Engineering > Computer Science
  • Received : October 10, 2025
  • Accepted : December 1, 2025
  • Published : December 31, 2025

Jong-Hyun Kim 1

1인하대학교

Accredited

ABSTRACT

We present a particle–grid hybrid simulation that combines the global pattern formation of the Gray–Scott reaction–diffusion model with a particle-based subgrid approach for turbulent, fine-scale details. Particle motion is guided by curl fields to induce rotational trajectories, and local concentrations of the reactant and product    are modified along particle paths, enabling high-detail patterns without increasing grid resolution. The framework proceeds in three stages: (1) grid-based Gray–Scott pattern generation, (2) particle-driven subgrid detail augmentation, and (3) iterative particle–grid interaction. By tuning interaction strength and influence radius, the level and extent of subgrid details are controlled. In 2D simulations, the proposed method yields richer and more dynamic structures than a grid-only baseline while avoiding the steep computational and memory costs of high-resolution grids; systematic variations in interaction parameters produce predictable changes in pattern scope and intensity. These results demonstrate a practical balance between computational efficiency and visual fidelity in hybrid reaction–diffusion modeling, and motivate future work on 3D extensions, optimization, and broader physical and visualization applications.

Citation status

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This paper was written with support from the National Research Foundation of Korea.