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Improved discrete unified gas-kinetic scheme for interface capturing.

Kaiyu Shi1, Guanqing Wang1, Jiangrong Xu1

  • 1School of Science, <a href="https://ror.org/0576gt767">Hangzhou Dianzi University</a>, Hangzhou 310018, China.

Physical Review. E
|August 20, 2024
PubMed
Summary
This summary is machine-generated.

This study introduces an improved discrete unified gas-kinetic scheme (DUGKS) for phase field equations, enhancing numerical stability for accurate two-phase flow interface capturing. The new method allows larger time steps, reducing errors and improving prediction accuracy.

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Area of Science:

  • Computational fluid dynamics
  • Phase field modeling
  • Numerical analysis

Background:

  • The discrete unified gas-kinetic scheme (DUGKS) has been extended to solve hydrodynamic equations.
  • Accurate interface capturing in two-phase flows remains a challenge in computational fluid dynamics.

Purpose of the Study:

  • To extend the improved DUGKS to solve phase field equations for enhanced interface capturing.
  • To develop a more numerically stable DUGKS method for accurate two-phase flow simulations.

Main Methods:

  • The conservative Allen-Cahn equation and its modified form were presented.
  • Two improved DUGKS methods were constructed for interface capturing using kinetic equations.
  • The improved DUGKS utilizes the node distribution function for interface flux evaluation, enhancing stability.

Main Results:

  • The improved DUGKS demonstrated enhanced numerical stability compared to the original DUGKS.
  • The scheme allows for larger time steps, reducing cumulative errors and improving prediction accuracy.
  • Numerical experiments validated the scheme's ability to capture sharp and complex deforming interfaces.

Conclusions:

  • The improved DUGKS provides a simple and effective approach for capturing two-phase flow interfaces.
  • The enhanced stability and accuracy make it suitable for complex deformation interface simulations.
  • This work advances the application of DUGKS in phase field modeling for fluid dynamics.