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.

Deformation and orientation of a capsule with viscosity contrast in linear flows: a theoretical study

This paper presents a theoretical perturbation study on the deformation and orientation of a spherical capsule with viscosity contrast in linear flows, deriving analytical expressions for the Taylor parameter and inclination angle that depend on elastic constitutive laws, surface tension, and bending rigidity, and validating these results against boundary integral numerical simulations.

Paul Regazzi, Marc Leonetti2026-02-18🔬 cond-mat

Spatio-Temporal Performance of 2D Local Inertial Hydrodynamic Models for Urban Drainage and Dam-Break Applications

This paper demonstrates that the HydroPol2D model, utilizing 2D local-inertial approximations, offers a computationally efficient alternative (23 times faster) to full-momentum solvers for urban and dam-break flood forecasting, achieving high accuracy in subcritical flows and peak depth predictions while highlighting the critical need to account for urban infrastructure to avoid significant discharge errors.

Marcus N. Gomes, Maria A. R. A. Castro, Luis M. R. Castillo, Mateo H. Sánchez, Marcio H. Giacomoni, Rodrigo C. D. de Paiva, Paul D. Bates2026-02-17🔬 physics

Non-uniqueness of smooth solutions of the Navier-Stokes equations from almost the same initial conditions

This paper presents numerical evidence using Clean Numerical Simulation suggesting that the Navier-Stokes equations may admit distinct global solutions arising from initial conditions differing by as little as 104010^{-40}, thereby challenging the uniqueness of smooth solutions and offering new insights into the associated Millennium Prize Problem.

Shijun Liao, Shijie Qin2026-02-17🌀 nlin

Geometry-Aware Physics-Informed PointNets for Modeling Flows Across Porous Structures

This study introduces and evaluates two physics-informed deep learning frameworks, PIPN and P-IGANO, which successfully model coupled fluid-porous flows across diverse and unseen geometries by enforcing Navier-Stokes and Darcy-Forchheimer equations within a unified loss function, thereby offering a retraining-free approach to accelerate design studies despite minor performance degradation near sharp interfaces.

Luigi Ciceri, Corrado Mio, Jianyi Lin, Gabriele Gianini2026-02-17🤖 cs.LG

Wavemaker and endogeneity of gravitationally stretched weakly viscoelastic jets

This paper presents a unified one-dimensional model with full-curvature capillarity and Giesekus stress closure to analyze the global linear stability of gravitationally stretched viscoelastic jets, revealing how moderate elasticity shifts the critical jetting-dripping boundary and identifying the near-nozzle region as the dominant receptive location for instability onset through wavemaker and structural-sensitivity analysis.

Daniel Moreno-Boza2026-02-17🔬 physics

Latent-space variational data assimilation in two-dimensional turbulence

This paper proposes a latent-space variational data assimilation method using implicit rank-minimizing autoencoders to estimate full two-dimensional turbulent flow states from limited measurements, achieving significantly higher accuracy and robustness to noise compared to standard state-space approaches by optimizing in a lower-dimensional, physically meaningful coordinate system.

Andrew Cleary, Qi Wang, Tamer A. Zaki2026-02-16🔬 physics