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.

Study of the Effects of Artificial Dissipation and Other Numerical Parameters on Shock Wave Resolution

This study investigates how five different finite-difference schemes and mesh geometry affect shock wave resolution in two-dimensional supersonic inviscid flows, identifying that while various methods introduce non-physical perturbations, specific AUSM+ formulations combined with techniques like flux limiting and artificial dissipation offer superior robustness and accuracy validated against experimental data.

Frederico Bolsoni Oliveira, João Luiz F. Azevedo2026-02-13🔬 physics

Numerical Aspects of Gradient Reconstruction Schemes Applied to Complex Geometries

This study evaluates three gradient reconstruction schemes and various limiter functions within a cell-centered finite volume framework for solving compressible RANS equations on unstructured grids, demonstrating that sophisticated formulations are essential for stability and accuracy in complex geometries while a novel CFL-based convergence acceleration technique effectively drives residuals to machine zero.

Frederico Bolsoni Oliveira, João Luiz F. Azevedo2026-02-13🔬 physics

A Study of Improved Limiter Formulations for Second-Order Finite Volume Schemes Applied to Unstructured Grids

This study evaluates the performance of three limiter formulations (Venkatakrishnan, Wang's modification, and Nishikawa's R3) within a second-order finite volume scheme for simulating steady, turbulent transonic flows over a NACA 0012 airfoil, finding that all yield comparable results consistent with experimental data when their control constants are appropriately tuned, despite exhibiting different dissipative characteristics.

Frederico Bolsoni Oliveira, João Luiz F. Azevedo2026-02-13🔬 physics

ArGEnT: Arbitrary Geometry-encoded Transformer for Operator Learning

This paper introduces ArGEnT, a Transformer-based architecture that encodes arbitrary geometries directly from point clouds to enhance DeepONet's ability to learn solution operators for complex physical systems without explicit geometric parametrization, thereby achieving superior generalization and accuracy across fluid dynamics, solid mechanics, and electrochemical applications.

Wenqian Chen, Yucheng Fu, Michael Penwarden, Pratanu Roy, Panos Stinis2026-02-13🤖 cs.AI