physics.flu-dyn papers | Gist.Science

Fluid dynamics explores how liquids and gases move, shaping everything from weather patterns to the flow of blood through our veins. This field bridges the gap between abstract mathematical equations and the tangible forces that drive our physical world, offering insights into turbulence, aerodynamics, and fluid behavior in complex environments.

On Gist.Science, we process every new preprint in this category directly from arXiv to make cutting-edge research accessible to everyone. Each paper is transformed into a clear, plain-language overview alongside a detailed technical summary, ensuring both students and experts can grasp the latest findings without getting lost in dense jargon.

Below, you will find the most recent studies in fluid dynamics, curated and explained for a broader audience.

Singularity of the axisymmetric stagnation-point-like solution within a cylinder of the 3D Euler incompressible fluid equations

This paper analytically demonstrates that the formation of finite-time singularities in axisymmetric 3D incompressible Euler flows within a cylinder is determined exclusively by the local geometric flatness of the initial vortex stretching rate near its global minimum, with specific power-law thresholds distinguishing between regular solutions and blowup scenarios depending on the singularity's location.

Yinshen Xu, Miguel D. Bustamante2026-03-11🔢 math-ph

Synchronisation in two-dimensional damped-driven Navier-Stokes turbulence: insights from data assimilation and Lyapunov analysis

This study demonstrates that in two-dimensional damped-driven Navier-Stokes turbulence, the observational resolution required to reconstruct small-scale flows is determined by the forcing scale rather than the dissipation scale, a fundamental difference from three-dimensional turbulence attributed to distinct inter-scale interactions and orbital instabilities.

Masanobu Inubushi, Colm-cille P. Caulfield2026-03-11🌀 nlin

A spatio-temporal random synthetic turbulent velocity field: The underlying Gaussian structure

This paper develops, simulates, and analytically derives a spatio-temporal random synthetic turbulent velocity field based on a divergence-free fractional Gaussian framework and Ornstein-Uhlenbeck temporal evolution, demonstrating that its statistical properties align with direct numerical simulations of the Navier-Stokes equations.

Matthieu Chatelain, Júlia Domingues Lemos, Wandrille Ruffenach, Mickaël Bourgoin, Charles-Edouard Bréhier, Laurent Chevillard, Ilias Sibgatullin, Romain Volk2026-03-11🔬 physics

Reconstruction of three-dimensional turbulent flows from sparse and noisy planar measurements: A weight-sharing neural network approach

This paper proposes a parameter-efficient weight-sharing neural network that successfully reconstructs three-dimensional turbulent flows from sparse, noisy planar measurements without requiring ground truth data, demonstrating superior generalization and robustness compared to existing methods.

Yaxin Mo, Luca Magri2026-03-11🔬 physics

Self-similar scaling of variable-density Rayleigh-Taylor turbulence

This study utilizes the statistically stationary Rayleigh-Taylor flow configuration to demonstrate that while conventional mixing layer growth rates vary with the Atwood number, introducing an effective Atwood number based on the logarithm of the density ratio yields a unified, nearly constant scaling law for self-similar variable-density turbulence across a broad range of parameters.

Chian Yeh Goh, Daniel Brito Matehuala, Guillaume Blanquart2026-03-11🔬 physics

On the Mathematical Analysis and Physical Implications of the Principle of Minimum Pressure Gradient

This paper establishes a rigorous two-way equivalence between the incompressible Navier-Stokes equations and the principle of minimum pressure gradient (PMPG), demonstrating that the former is mathematically identical to the instantaneous minimization of the pressure force required to enforce incompressibility, thereby offering a variational framework that generalizes classical Galerkin projections and provides new insights into flow stability and the vanishing-viscosity limit.

Haithem Taha2026-03-11🔢 math-ph

Aliasing and phase shifting in pseudo-spectral simulations of the incompressible Navier-Stokes equations

This paper presents a comprehensive analysis and the first open-source implementation of phase-shifting dealiasing methods for pseudo-spectral simulations of incompressible Navier-Stokes equations, demonstrating that these techniques can achieve up to a threefold speedup over standard 2/3 truncation with minimal accuracy loss.

Clovis Lambert, Jason Reneuve, Pierre Augier2026-03-11🔬 physics

$\Lambda$ effect in rotating hydrodynamic convection

This study uses 3D simulations of rotating hydrodynamic convection to demonstrate that thermal Rossby waves drive outward radial angular momentum transport at rapid rotation rates, revealing a significant discrepancy between these findings and the assumptions underlying current mean-field theories of solar differential rotation.

P. J. Käpylä (KIS)2026-03-11🔭 astro-ph

Butter on a hot pan: self-regulating dynamics of melt-lubricated sliding

This paper presents experiments and a parameter-free theoretical model that explain the self-regulating dynamics of solids melting while sliding down heated inclines, successfully predicting terminal velocities across diverse materials and conditions.

Edoardo Bellincioni, Simon Biermann, Jacco H. Snoeijer, Leen van Wijngaarden, Sander G. Huisman2026-03-11🔬 physics

The statistics and structure of dissipation in subsonic and supersonic turbulence

Using high-resolution simulations, this study reveals that kinetic energy dissipation in subsonic turbulence is vorticity-dominated, localized on small scales, and lags energy injection by approximately 1.64 turnover times, whereas supersonic dissipation is density-correlated, spans multiple scales via shocks and vorticity, and lags by only 0.48 turnover times, with distinct fractal structures identified in both regimes.

Edward Troccoli, Christoph Federrath2026-03-11🔭 astro-ph

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