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Related Experiment Video

Updated: Mar 19, 2026

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A new free surface identification method for 3D MPS method.

Chong Geng1, Wen-Hua Wang2, Meng-Yuan Heng1

  • 1School of naval architecture, Dalian University of Technology, Dalian, 116024, China.

Scientific Reports
|March 18, 2026
PubMed
Summary
This summary is machine-generated.

Accurate free-surface identification in 3D Moving Particle Semi-Implicit (MPS) simulations is improved using a novel method. This approach enhances pressure field accuracy by reducing errors in surface particle detection.

Keywords:
DivergenceFree surface particlesMPSNormal vector

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Area of Science:

  • Computational fluid dynamics
  • Numerical methods for fluid flow
  • Free-surface flow modeling

Background:

  • Particle number density-based free-surface identification in 3D MPS methods can misclassify particles.
  • This misclassification degrades the accuracy of pressure field predictions in simulations.
  • Existing methods struggle with complex geometries like internal cavities.

Purpose of the Study:

  • To develop an improved method for accurate free-surface particle identification in 3D MPS simulations.
  • To enhance the accuracy and stability of pressure field predictions.
  • To provide a robust and computationally efficient solution for complex fluid dynamics problems.

Main Methods:

  • Improved formulation for relative position divergence (RPD) computation.
  • Development of 3D surface identification criteria based on geometrical considerations.
  • Proposed RPD + surface normal vector estimation (RPD+NV) method for free-surface detection.

Main Results:

  • The improved RPD formulation shows better consistency with theoretical values.
  • The RPD+NV method accurately identifies surface particles on convex, concave, and cavity-containing boundaries.
  • Simulations demonstrate reduced pressure oscillations and improved pressure field consistency with RPD and RPD+NV methods.
  • RPD+NV significantly decreases false positives/negatives in surface particle detection.

Conclusions:

  • The proposed RPD+NV method offers a robust and efficient solution for 3D MPS free-surface identification.
  • This method enhances the accuracy of pressure field predictions without significant computational overhead.
  • It enables more physically consistent simulations of complex free-surface flows.