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Quantitative modeling of bubble competition in Richtmyer-Meshkov instability
1Department of Mathematics, Kangnung National University, Kangnung 210-702, Korea. sohnsi@kangnung.ac.kr
We developed a quantitative model for bubble evolution in Richtmyer-Meshkov (RM) instability. Higher-order corrections significantly impact RM bubble front growth, predicting a growth rate of approximately t^0.3-0.35.
Area of Science:
- Fluid dynamics
- Plasma physics
- Astrophysical phenomena
Background:
- Richtmyer-Meshkov (RM) instability drives mixing in various physical scenarios.
- Understanding bubble evolution is crucial for modeling turbulent mixing.
- Distinguishing RM from Rayleigh-Taylor instabilities requires accurate quantitative models.
Purpose of the Study:
- To present a quantitative model for single and multiple bubble evolution in RM instability.
- To investigate the distinctions between RM and Rayleigh-Taylor bubbles.
- To analyze the influence of higher-order corrections on RM bubble growth dynamics.
Main Methods:
- Developed a quantitative model for bubble dynamics.
- Obtained higher-order solutions for single-mode bubble evolution.
- Analyzed multiple-bubble competition and bubble curvature effects.
Main Results:
- Higher-order corrections significantly influence the RM bubble front growth rate.
- The model predicts RM bubble front growth as h ~ t^theta.
- The exponent theta is predicted to be approximately 0.3-0.35 +/- 0.02.
Conclusions:
- The developed model provides accurate predictions for RM bubble evolution.
- Higher-order bubble curvature effects are critical for RM instability dynamics.
- The findings contribute to a better understanding of turbulent mixing in RM flows.
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