1011 papers
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.
This paper demonstrates that applying an alternating electric field to electrolyte-filled channels with modulated wall charge generates oscillating laminar flows and vortices with circulation dependent on the oscillation period, revealing a frequency- and viscosity-dependent "memory retention time" that enables control over signal carriers despite vanishing mass flux.
This paper investigates the nonlinear instability of a thin fluid rivulet in an air-filled Hele-Shaw cell under external acoustic forcing, revealing that a three-wave resonant interaction drives the formation of a specific spatiotemporal pattern whose mode selection and threshold are successfully predicted by a depth-averaged Navier-Stokes model.
This paper establishes that for a one-dimensional compressible Navier-Stokes combustion model with discontinuous reaction rates, the reactant mass fraction satisfies a weighted gradient estimate preventing cusp formation and ensuring bounded entropy, provided the initial density is Lipschitz continuous and strictly bounded away from zero and infinity.
Inspired by plant embolism, this study reveals that air invasion in compliant one-dimensional fluid networks is governed by a nonlinear feedback between pressure diffusion and pervaporation timescales, leading to complex, history-dependent dynamics that inform both biological understanding and soft microfluidic design.
This paper presents an efficient implicit numerical scheme for solving multimaterial Euler equations in Lagrangian coordinates, which overcomes stringent time step restrictions in high-density-ratio stratified flows by reducing the problem to a single symmetric positive definite wave equation for pressure while incorporating filtering strategies to suppress oscillations.
This paper proposes a hybrid semi-Lagrangian scheme for the Vlasov-Poisson equation that synergistically combines the Numerical Flow Iteration (NuFI) method's conservative local time-stepping with the Characteristic Mapping Method's (CMM) efficient global submap composition to achieve a balance between computational cost, storage requirements, and structural preservation.
This paper demonstrates that exact unstable solutions of the Navier-Stokes equations computed in minimal domains can be spatially tiled to construct new invariant solutions and turbulent trajectories in large, extended domains by leveraging the shielding effects of high-dissipation structures that create weakly-coupled subsystems.
This paper identifies a universal set of exact integrals of motion for systems driven by homogeneous isotropic stochastic flows, which describe the evolution of transported (hyper-)surfaces through local surface densities independent of specific flow statistics.
This paper introduces an adaptive grid selection method based on representative elementary volume theory to accurately approximate the dilution index using Lagrangian particle-tracking, thereby enabling the effective analysis and design optimization of chaotic advection systems while avoiding the numerical diffusion limitations of Eulerian approaches.
This paper introduces and validates new nontrivial stochastic identities for random isotropic second-rank tensor fields, which serve as statistical markers for isotropy in turbulent flows of any nature, including cases with axial symmetry.