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.

Gaussian Field Representations for Turbulent Flow: Compression, Scale Separation, and Physical Fidelity

This paper proposes a compact, continuous Gaussian field representation for turbulent flows that achieves high compression ratios, demonstrating that while isotropic kernels preserve velocity accuracy, anisotropic extensions are essential for capturing the geometric fidelity of vortical structures and recovering critical small-scale diagnostics like enstrophy.

Dhanush Vittal Shenoy, Steven H. Frankel2026-04-21🔬 physics

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

The inviscid Euler limit as a critical boundary for moment-based aerodynamic system identification

This paper demonstrates that the t3/2t^{-3/2} power-law decay of the two-dimensional inviscid Euler equations prevents the convergence of the second temporal moment, thereby establishing the inviscid limit as a critical boundary where finite-dimensional aerodynamic models fail to capture intrinsic physics and instead parameterize the observation window.

Sarasija Sudharsan2026-04-21🔬 physics

Impact dynamics of flexible hydrogels on solid substrates of different wettabilities

This study investigates the impact dynamics of spherical polyacrylamide hydrogel drops on substrates with varying wettabilities, revealing that at low elastic numbers, spreading and peak impact forces are governed by neo-Hookean mechanics and independent of wettability, while post-impact retraction is largely suppressed by polymer adsorption unless elastic restoring forces overcome adhesion.

Akash Chowdhury, Surjyasish Mitra, Sushanta K. Mitra2026-04-21🔬 cond-mat

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

Assessment of RANS Modeling of Jet Interaction in Fan-Array Wind Generator Flows

This study evaluates the capability of Reynolds-Averaged Navier-Stokes (RANS) modeling with a pressure-jump boundary condition to simulate jet interactions in a 10x10 fan-array wind generator, finding that while the approach effectively predicts global mean-flow structures and downstream velocity decay, it exhibits systematic limitations in accurately capturing near-field magnitude discrepancies and turbulence intensity due to eddy-viscosity closure constraints.

M. Hosein Niroomand, Utku Sentürk2026-04-21🔬 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