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September 10, 2025MathematicsOpen Access

Stabilized Nitsche-Type CIP/GP CutFEM for Two-Phase Flow Applications

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Authors

HGHimali GammanpilaEAEugenio AulisaACAndrea Chierici

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Overview

This numerical analysis applies Nitsche's method and CutFEM in two-phase flow, showing its effectiveness in interface stability.

Key Points

  • The stabilized Nitsche-type CutFEM successfully simulates two-phase flows without spurious currents, enhancing reliability.
  • A stability analysis and error estimation validate the method's robustness, ensuring accurate representation of interfaces.
  • Implementing Continuous Interior Penalty and Ghost Penalty techniques improves the treatment of discontinuities in material properties.
  • Numerical convergence studies confirm the method's accuracy and ability to handle complex interfaces in multi-phase flow.

Cite This Study

Gammanpila et al. (2025) studied this question.

synapsesocial.com/papers/68c18c019b7b07f3a06143e0https://doi.org/10.3390/math13172853
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