Skoltech researchers created precise equations for particle aggregation in fluids, advancing science and technology.

This study examines the mathematical foundations of the Euler and Navier-Stokes equations of fluid dynamics, identifying some inconsistencies in the mathematical definitions of flow velocity and the ...

ABSTRACT: This study examines the mathematical foundations of the Euler and Navier-Stokes equations of fluid dynamics, identifying some inconsistencies in the mathematical definitions of flow velocity ...

Netgen/NGSolve is a high performance multiphysics finite element software. It is widely used to analyze models from solid mechanics, fluid dynamics and electromagnetics. Due to its flexible Python ...

The vessel motion is modelled using the geometric mechanics framework for rigid body motion, and the fluid motion is modelled using a hierarchy of models from the shallow water equations, to ...

Burridge’s insight was to identify how surface tension, combined with other factors like variations in population density and ...

Notably, these equations take the form of the continuity equation and the Euler equation, respectively ... We discretize the Madelung Equations using a technique common to classiscal computational ...

Space might seem empty, but it is actually permeated with ionized gas. This magnetized fluid plays an essential role in the evolution and explosion of stars, in the structure of and interactions ...

Abstract: In recent years, many discrete neural dynamics models are presented based on continuous models to solve the multilinear tensor equation. However, these existing discrete models all depend on ...

Here, inelastic neutron scattering and machine-learned molecular dynamics are used to quantify these thermodynamic contributions to the entropy of fusion in pure elements.