Meshless methods represent a significant advancement in computational methodologies applied to various fields, particularly nuclear reactor safety. These methods, including Smoothed Particle Hydrodynamics (SPH) and Moving Particle Semi-implicit (MPS), leverage Lagrangian particles to provide a flexible framework for capturing complex fluid behaviours such as free-surface dynamics, deformation, rupture, and coalescence. Despite being frequently applied in nuclear reactor safety and accident analysis in recent years, meshless methods are often challenged by issues such as low accuracy and destabilization, making their improvement crucial.

This Research Topic explores meshless methods in nuclear reactor safety analysis and delves into challenges, advancements, and applications. The Topic covers the evolution of meshless methods and key breakthroughs, such as improvements in stability, accuracy, and the handling of surface tension. By bringing together this knowledge, this Research Topic will highlight future research directions and offer insights into how meshless methods can shape innovations in nuclear reactor safety analysis.

Contributions must add to the sound development of meshless methods in nuclear reactor safety and severe accident analysis.

Topics within the scope of this collection include, but are not limited to:
• Enhancements in stability and accuracy to mitigate unphysical oscillations and instabilities
• Investigations of free surfaces, solid walls, inflow, and outflow boundary conditions
• Development of surface tension models for simulating melt migration, bubble motion, etc.
• Multi-phase flow modeling, covering scenarios such as gas-liquid two-phase flow and solid-liquid two-phase flow
• Analysis of fluid–structure interaction
• Applications of multi-resolution techniques
• Specific applications in nuclear reactor safety and severe accident analysis, including core melting and corium spreading.

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Applications and Challenges of Meshless Methods (SPH/MPS) in the Analysis of Nuclear Reactors