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Mass-conserving Eulerian liquid simulation.

Nuttapong Chentanez1, Matthias Müller

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This study introduces a new fluid simulation method that conserves mass for realistic free surface details. It enables stable, large time steps for efficient real-time and offline applications.

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Area of Science:

  • Computer Graphics
  • Computational Physics

Background:

  • Previous fluid simulation methods often lose small-scale free surface details due to mass loss.
  • Existing approaches struggle with global mass conservation, leading to volume decrease over time.

Purpose of the Study:

  • To develop a GPU-friendly, Eulerian fluid simulation method.
  • To achieve both local and global mass conservation for free surface simulations.
  • To enable stable simulations with large time steps for real-time applications.

Main Methods:

  • Utilizes density-based surface tracking.
  • Employs a novel, unconditionally stable, conservative advection scheme.
  • Incorporates mass-conserving techniques for interface sharpening and subgrid feature revelation.

Main Results:

  • The method successfully conserves mass locally and globally without Lagrangian components.
  • It prevents the disappearance of small-scale free surface details.
  • Demonstrates stability allowing for large time steps, suitable for interactive and real-time rates.

Conclusions:

  • The proposed method offers a robust solution for accurate and efficient free surface fluid simulation.
  • It addresses key limitations of previous methods concerning mass conservation and detail preservation.
  • The technique is effective for various practical applications in computer graphics and simulation.