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.

Velocity field within a vortex ring with a large elliptical cross section

This paper derives the velocity field for a steady toroidal vortex with an arbitrary elliptical cross-section by utilizing invariant coordinate sets to exploit metric tensor properties, revealing that vorticity decreases monotonically from the symmetry axis and that the ring's circulation can be either greater or lesser than that of Hill's spherical vortex depending on specific geometric and kinematic parameters.

T. S. Morton2026-04-21🔬 physics

Effect of gap width on turbulent transition in Taylor-Couette flow

This study demonstrates that increasing the gap width in Taylor-Couette flow enhances flow stability and delays turbulent transition by promoting a free vortex-like velocity profile and reducing the maximum energy gradient function, thereby revealing that the radius ratio must be considered alongside the gap-based Reynolds number to accurately characterize the flow behavior.

Chang-Quan Zhou, Hua-Shu Dou, Lin Niu, Wen-Qian Xu2026-04-21🌀 nlin

FlowRefiner: Flow Matching-Based Iterative Refinement for 3D Turbulent Flow Simulation

FlowRefiner is a novel flow matching-based iterative refinement framework that employs deterministic ODE-based correction and a decoupled sigma schedule to achieve state-of-the-art, physically consistent autoregressive prediction of 3D turbulent flows by effectively preventing error accumulation in fine-scale structures.

Yilong Dai, Yiming Sun, Yiheng Chen, Shengyu Chen, Xiaowei Jia, Runlong Yu2026-04-21🔬 physics

On the hydrodynamic behaviour of the immersed boundary -- lattice Boltzmann method for wetting problems

This paper evaluates the hydrodynamic behavior and validity limits of an immersed boundary–lattice Boltzmann method for wetting problems by comparing its contact-line model and thin-film formation against boundary element and volume of fluid solvers.

Elisa Bellantoni, Fabio Guglietta, Andreas Demou, Francesca Pelusi, Kiwon Um, Mihalis Nicolaou, Mathieu Desbrun, Mauro Sbragaglia, Nikos Savva2026-04-21🔬 physics

Tangential and normal partial slip at the liquid-fluid interfaces: application to a small liquid droplet, gas bubble, and aerosol

This paper presents an analytical solution for the slow movement of small liquid droplets, gas bubbles, and aerosols by generalizing the Hadamard-Rybczynski equation to include both tangential and normal partial slip conditions at fluid-fluid interfaces, demonstrating that each fluid possesses its own slip length and deriving new equations for terminal velocity that account for non-uniform gas density.

Peter Lebedev-Stepanov2026-04-21🔬 physics

Synthetic Seismograms from Particle Bed Interactions and Turbulent River Flow: Modeling and Comparison with Observations

This paper presents a physics-based numerical model that synthesizes seismic signals from gravel-bed rivers by integrating grain-scale particle dynamics with turbulent flow effects, demonstrating its ability to distinguish between sediment transport and flow-induced noise through comparison with observed flood data.

Sara Nicoletti, Giacomo Belli, Omar Morandi, Emanuele Marchetti2026-04-21🔢 math-ph

Autoregressive prediction of 2D MHD dynamics inferred from deep learning modeling

This paper introduces two deep learning autoregressive surrogate models—a Koopman-based Transformer and a ConvLSTM-UNet—that accurately and efficiently predict the temporal evolution of 2D ideal magnetohydrodynamic Kelvin-Helmholtz instabilities while preserving key physical structures and invariants at a substantially reduced computational cost compared to direct numerical simulations.

David Kivarkis, Waleed Mouhali, Sadruddin Benkadda, Kai Schneider2026-04-21🔬 physics