1233 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 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.
This paper addresses the pressure-load inaccuracies in existing immersed interface methods for C0 triangulated surfaces by proposing a pressure-robust formulation that utilizes reconstructed continuous surface normal vectors—via L2 projection or inverse centroid-distance weighting—to significantly reduce numerical leakage.
This paper establishes a low-dimensional dynamical framework for two-dimensional vertical falling films to identify and characterize exact coherent states—such as travelling waves, relative periodic orbits, and equilibria—that underpin the system's chaotic interfacial dynamics.
This study improves the hydrodynamic modeling of free-swimming *Chlamydomonas reinhardtii* by demonstrating that a modified three-sphere model incorporating differential drag on flagellar spheres successfully reproduces experimental flow characteristics that the standard model fails to capture.
This paper presents a general numerical framework that combines weighted interpolation with a conservative flux mapping algorithm to accurately reconstruct interfaces and transfer data between partitioned multiphysics domains, achieving high geometric and flux conservation accuracy across various applications.
This study combines experiments and simulations to reveal that premixed NH3/H2/air flames are stabilized behind bluff bodies through a coupled feedback mechanism where preferential hydrogen diffusion creates a localized diffusion flame at the root, enhancing radical production and anchoring, while thermal expansion significantly alters the flow field to sustain a robust, carbon-free combustion regime.
This paper argues that for steady, fully developed incompressible Navier-Stokes flows, the condition where the total mechanical energy gradient is perpendicular to the streamline causes the viscous term to vanish and the solution to lose -regularity, thereby creating a weak singularity where the equations degenerate into the Euler equations.
This study employs global linear stability analysis and simulations to reveal that the stability of rising oblate bubble pairs is primarily governed by inclination-induced rotational feedback and lift rather than deformation, while also identifying distinct short-range and long-range coupling mechanisms for different instability modes and a new oscillatory mode driven by unsteady recirculation.
This paper establishes the global existence and uniqueness of generalized solutions for the three-dimensional inviscid quasi-geostrophic equation on a cylindrical domain with a multiply connected cross-section under specific Neumann and no-flux boundary conditions, assuming the initial potential vorticity is essentially bounded.
This paper extends the Statistical State Dynamics framework to shallow water magnetohydrodynamic turbulence, demonstrating how the interplay of Reynolds and Maxwell stresses leads to the formation and equilibration of zonal jet-toroidal field structures that explain both steady phenomena like solar super-rotation and time-dependent events such as the solar cycle.