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.

Network modelling of yield-stress fluid flow in randomly disordered porous media

This paper presents a physics-based pore-network model for yield-stress fluid flow in disordered porous media that accurately captures nonlinear transport and channelization by deriving pressure-flow relations from pore-scale mechanics, revealing that near-yield pressure losses are governed by constriction statistics rather than obstacle-scale length.

Cláudio P. Fonte, Elliott Sutton, Kohei Ohie, Eleanor Doman, Yuji Tasaka, Anne Juel2026-03-11🔬 physics

Modelling Material Injection Into Porous Structures Under Non-isothermal Conditions

This paper extends the Theory of Porous Media to model non-isothermal material injection into porous structures, specifically for percutaneous vertebroplasty, by incorporating local thermal non-equilibrium conditions and demonstrating thermodynamic consistency through numerical simulations.

Jan-Sören L. Völter (University of Stuttgart), Zubin Trivedi (University of Stuttgart), Andreas Boger (Ansbach University of Applied Sciences), Tim Ricken (University of Stuttgart), Oliver Röhrle (Uni (…)2026-03-10🔬 physics

Triangular instability of a strained Batchelor vortex

This study combines theoretical analysis and numerical simulations to demonstrate that a stationary triangular strain field induces resonant instability in a Batchelor vortex, where the introduction of axial flow reduces critical layer damping to activate additional unstable mode pairs and ultimately shifts the dominant instability from a specific mode combination to one involving the first branches of both azimuthal wavenumbers.

A. S. P. Ayapilla (Graduate School of Information Sciences, Tohoku University, Sendai, Japan), Y. Hattori (Institute of Fluid Science, Tohoku University, Sendai, Japan), S. Le Dizès (Aix Marseille Uni (…)2026-03-10🔬 physics

Controlling the collective transport of large passive particles with suspensions of microorganisms

This study demonstrates that directional light stimuli can trigger bioconvection rolls in suspensions of phototactic microalgae (*Chlamydomonas reinhardtii*) to achieve the controlled collective transport of hundreds of large passive particles, offering potential applications in targeted drug delivery and decontamination.

Taha Laroussi, Julien Bouvard, Etienne Jambon-Puillet, Mojtaba Jarrahi, Gabriel Amselem2026-03-10🔬 cond-mat

Axial Symmetric Navier Stokes Equations and the Beltrami /anti Beltrami spectrum in view of Physics Informed Neural Networks

This paper establishes the theoretical framework for solving axial symmetric Navier-Stokes equations in a cylindrical topology by constructing a complete basis of harmonic 1-forms comprising Beltrami, anti-Beltrami, and closed components, thereby reducing the problem to a hierarchy of quadratic relations suitable for future optimization via Physics-Informed Neural Networks.

Pietro Fré2026-03-10🔢 math-ph

Optimize discrete loss with finite-difference physics constraint and time-stepping for solving incompressible flow

This paper introduces FDTO, a memory-efficient and accurate optimization-based solver that combines finite-difference time-stepping with body-fitted curvilinear grids to overcome the conditioning and efficiency limitations of existing methods like PINNs and ODIL for solving incompressible flow problems.

Yali Luo, Yiye Zou, Heng Zhang, Mingjie Zhang, Gang Wei, Jingyu Wang, Xiaogang Deng2026-03-10🔬 physics