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Numerical method for complex moving boundary problems in a Cartesian fixed grid.

Kensuke Yokoi1

  • 1Computer and Information Division, RIKEN (The Institute of Physical and Chemical Research), Wako 351-0198, Japan.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|June 13, 2002
PubMed
Summary

This study introduces a novel numerical method for tracking complex moving boundaries in fluid flows. The technique improves upon the level set method by mitigating reinitialization errors.

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Area of Science:

  • Computational fluid dynamics
  • Numerical analysis
  • Scientific computing

Background:

  • Tracking moving boundaries is crucial in fluid dynamics simulations.
  • The level set method is a common approach but suffers from reinitialization errors.
  • Accumulated errors can compromise the accuracy of simulations.

Purpose of the Study:

  • To develop a numerical method for accurate capture and tracking of complex moving boundaries.
  • To address and overcome the reinitialization error accumulation inherent in the standard level set method.
  • To enhance the robustness and reliability of fluid flow simulations involving dynamic interfaces.

Main Methods:

  • The proposed method builds upon the established level set framework.
  • It incorporates a novel approach to manage and reduce errors during reinitialization.

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  • This technique ensures the accurate representation of evolving boundary geometries.

    • Main Results:

    • The new method effectively captures and tracks complex moving boundaries.
    • It significantly reduces the accumulation of reinitialization errors compared to the standard level set method.
    • Demonstrated improved accuracy and stability in simulations.

    Conclusions:

    • The developed numerical method offers a robust solution for tracking moving boundaries in fluid flows.
    • It provides a viable alternative to the standard level set method by resolving key error accumulation issues.
    • This advancement is expected to benefit various fields relying on accurate fluid simulation.