Extracting Single-Mode Rayleigh--Taylor Instability dynamics from data via SINDy

Abstract

Rayleigh-Taylor instability (RTI) is of fundamental importance in fields such as inertial confinement fusion and supernova explosions, and its evolution is commonly described by potential--flow theory and buoyancy--drag models. However, both types of models struggle to accurately capture the overshoot behavior of bubble and spike velocities, as well as the subsequent reacceleration stage. To address these limitations, we develop a physics-constrained, data-driven framework based on the integral formulation of Sparse Identification of Nonlinear Dynamics (SINDy), which extracts low-dimensional dynamical equations for bubble and spike evolution directly from data. By introducing the nondimensional initial amplitude A₀ = kη₀ as an explicit parameter, we identify distinct dynamical equations for the bubble and the spike based on data spanning multiple Atwood numbers and initial amplitudes. The resulting low-dimensional dynamical equations not only reproduce the overshoot behavior of the velocity with good accuracy, but also capture the reacceleration stage well, while maintaining high predictive accuracy at unseen values of the wavenumber, acceleration, and Atwood number. This work provides a physics-constrained, data-driven framework complementary to conventional potential-flow and buoyancy--drag models, accurately describing the dynamical evolution of the bubble and spike at high Atwood numbers, and provides a new perspective for directly extracting the dynamical equations of interfacial instabilities from data.

Observation of Self-Similarity in the Magnetic Fields Generated by the Ablative Nonlinear Rayleigh-Taylor Instability
Lan Gao, Philip M. Nilson, Igor V. Igumenshchev +10
arXiv (Cornell University)8 Jul 2026PreprintCC BYFull text39 citedHigh-energy & particle physicsOpenAlex
Direct numerical simulations of multi-layer Rayleigh-Taylor instability under asymmetric interfacial density stratification
Abhijeet Guha, Prasoon Suchandra, Aditi Sengupta
arXiv6 Oct 2026PreprintCC BY 4.0Full textFluid dynamicsarXiv
Rayleigh–Taylor instability in leaky and perfect dielectric fluids under external electric fields by lattice Boltzmann method
Hadi Abou Daher, Marie-Charlotte Renoult, Ananta Kumar Nayak +1
Engineering Analysis with Boundary Elements2 Oct 2026Peer-reviewedCC BYGeneral physicsHAL
Settling-driven Rayleigh–Taylor instability in a pre-existing turbulent field
Chih-Lun Liu, Adam Jiankang Yang
EarthArXiv24 Oct 2026PreprintCC BY-NC 4.0Full textAtmospheric science & meteorology Oceanography & cryosphereEarthArXiv
On the Rayleigh-Taylor instability of a diffuse interface
Marildo Kola, Daniel Israel, Aaron Towne
arXiv28 Sep 2026PreprintarXiv licenceFull textFluid dynamicsarXiv

Cite

BibTeX RIS

BibTeX

@misc{wang2026extracting,
  title = {{Extracting Single-Mode Rayleigh--Taylor Instability dynamics from data via SINDy}},
  author = {Chuanxing Wang and Hui Luo and Guohuai Zhu and Hongbo Cai and Shaoping Zhu and Mingxing Luo},
  howpublished = {arXiv},
  year = {2026},
  month = nov,
  doi = {10.48550/arxiv.2611.07666},
  eprint = {2611.07666},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2611.07666},
}

RIS

TY  - UNPB
TI  - Extracting Single-Mode Rayleigh--Taylor Instability dynamics from data via SINDy
AU  - Chuanxing Wang
AU  - Hui Luo
AU  - Guohuai Zhu
AU  - Hongbo Cai
AU  - Shaoping Zhu
AU  - Mingxing Luo
PY  - 2026
DA  - 2026/11/05
PB  - arXiv
DO  - 10.48550/arxiv.2611.07666
UR  - https://arxiv.org/abs/2611.07666
AB  - Rayleigh-Taylor instability (RTI) is of fundamental importance in fields such as inertial confinement fusion and supernova explosions, and its evolution is commonly described by potential--flow theory and buoyancy--drag models. However, both types of models struggle to accurately capture the overshoot behavior of bubble and spike velocities, as well as the subsequent reacceleration stage. To address these limitations, we develop a physics-constrained, data-driven framework based on the integral formulation of Sparse Identification of Nonlinear Dynamics (SINDy), which extracts low-dimensional dynamical equations for bubble and spike evolution directly from data. By introducing the nondimensional initial amplitude A_0 = kη_0 as an explicit parameter, we identify distinct dynamical equations for the bubble and the spike based on data spanning multiple Atwood numbers and initial amplitudes. The resulting low-dimensional dynamical equations not only reproduce the overshoot behavior of the velocity with good accuracy, but also capture the reacceleration stage well, while maintaining high predictive accuracy at unseen values of the wavenumber, acceleration, and Atwood number. This work provides a physics-constrained, data-driven framework complementary to conventional potential-flow and buoyancy--drag models, accurately describing the dynamical evolution of the bubble and spike at high Atwood numbers, and provides a new perspective for directly extracting the dynamical equations of interfacial instabilities from data.
ER  -

Abstract

Related

Cite