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.

Analytical and numerical solutions to the three-phase Stefan problem with simultaneous occurrences of melting, solidification, boiling, and condensation phenomena

This paper presents the first analytical and numerical solutions to the three-phase Stefan problem that account for simultaneous melting, solidification, boiling, and condensation by incorporating critical jump conditions such as density changes and kinetic energy.

Mehran Soleimani, Kimmo Koponen, Nils Tilton, Amneet Pal Singh Bhalla2026-02-10🔬 physics

PDE-Free Mass-Constrained Learning of Complex Systems with Hidden States

The paper proposes a three-tier machine learning framework that uses Diffusion Maps to extract latent representations, SINDy or MVAR to learn reduced-order models, and k-NN-based interpolation for reconstruction, enabling the accurate and mass-preserving prediction of complex, mass-constrained spatio-temporal dynamics without explicitly identifying the underlying partial differential equations.

Gianmaria Viola, Alessandro Della Pia, Lucia Russo, Ioannis Kevrekidis, Constantinos Siettos2026-02-10🔬 physics

Phenomenological energy exchange of diatomic gases: Comparison of Pullin and Borgnakke-Larsen models in direct simulation Monte Carlo method

This study compares the widely used Borgnakke-Larsen model with the more theoretically rigorous Pullin model for simulating translational-rotational energy exchange in diatomic gases using the DSMC method, demonstrating that the Pullin model provides a more consistent physical foundation while maintaining comparable efficiency to the BL model in highly rarefied flows.

Hao Jin, Sha Liu, Ningchao Ding, Sirui Yang, Huahua Cui, Congshan Zhuo, Chengwen Zhong2026-02-10🔬 physics