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Many suspensions contain particles with complex shapes that are affected not only by hydrodynamics, but also by thermal fluctuations, internal kinematic constraints and other long-range non-hydrodynamic interactions. Modeling these systems…

Soft Condensed Matter · Physics 2025-07-31 Blaise Delmotte , Florencio Balboa Usabiaga

This paper aims to use the unified bubble dynamics equation to investigate bubble behavior in complex scenarios involving hybrid free surface/wall boundaries and interactions between multiple bubbles. The effect of singularity movement on…

Fluid Dynamics · Physics 2023-10-10 Zhang A-Man , Li Shi-Min , Cui Pu , Li Shuai , Liu Yun-Long

An attempt to merge into a single model, which reduces to the solution of non-smooth convex optimization problem: calculation model of OD-matrix (entropy model), the mode split model and the model of the equilibrium distribution of flows…

Optimization and Control · Mathematics 2016-06-30 Alexander Gasnikov , Yuriy Dorn , Yurii Nesterov , Sergey Shpirko

This article presents a multi-physics methodology for the numerical simulation of physical systems that involve the non-linear interaction of multi-phase reactive fluids and elastoplastic solids, inducing high strain-rates and high…

Computational Physics · Physics 2021-06-04 Tim Wallis , Philip T. Barton , Nikolaos Nikiforakis

A recent thrust in turbulence closure modeling research is to incorporate machine learning (ML) elements, such as neural networks, for the purpose of enhancing the predictive capability to a broader class of flows. Such a turbulence closure…

Fluid Dynamics · Physics 2021-01-19 Salar Taghizadeh , Freddie D. Witherden , Sharath S. Girimaji

The moist shallow water equations offer a promising route for advancing understanding of the coupling of physical parametrisations and dynamics in numerical atmospheric models, an issue known as 'physics-dynamics coupling'. Without moist…

Numerical Analysis · Mathematics 2025-05-15 Nell Hartney , Thomas M. Bendall , Jemma Shipton

A novel, particle based, probabilistic approach for the simulation of cloud microphysics is proposed, which is named the Super-Droplet Method (SDM). This method enables accurate simulation of cloud microphysics with less demanding cost in…

Atmospheric and Oceanic Physics · Physics 2022-08-02 Shin-ichiro Shima , Kanya Kusano , Akio Kawano , Tooru Sugiyama , Shintaro Kawahara

We present a new approach to studies of bubble dynamics in fluids. Relying on particle-based simulations, this method is general and suitable for cases where the commonly used perfect fluid description fails. We study expanding true vacuum…

Cosmology and Nongalactic Astrophysics · Physics 2022-11-14 Marek Lewicki , Ville Vaskonen , Hardi Veermäe

Point vortex models are presented for the generalized Euler equations, which are characterized by a fractional Laplacian relation between the active scalar and the streamfunction. Special focus is given to the case of the surface…

Atmospheric and Oceanic Physics · Physics 2018-09-19 Gualtiero Badin , Anna M. Barry

In conventional fluid mechanics, the chemical composition and thermodynamic state of a fluid-solid interface are not considered when establishing velocity-field boundary conditions. As a consequence, fluid simulations are usually not able…

The non-linear dynamics of driven oscillations in the size of a spherical bubble are mapped to the dynamics of a Newtonian particle in a potential within the incompressible liquid regime. The compressible liquid regime, which is important…

Fluid Dynamics · Physics 2024-12-30 Uri Shimon , Ady Stern

Direct numerical simulation of liquid-gas-solid flows is uncommon due to the considerable computational cost. As the grid spacing is determined by the smallest involved length scale, large grid sizes become necessary -- in particular if the…

Computational Physics · Physics 2018-02-14 Simon Bogner , Jens Harting , Ulrich Rüde

The study of many-body quantum dynamics in strongly-correlated systems is extremely challenging. To date few numerical methods exist which are capable of simulating the non-equilibrium dynamics of two-dimensional quantum systems, in part…

Quantum Physics · Physics 2024-09-17 S. J. Thomson , J. Eisert

A particle-based model for mesoscopic fluid dynamics is used to simulate steady and unsteady flows around a circular and a square cylinder in a two-dimensional channel for a range of Reynolds number between 10 and 130. Numerical results for…

Soft Condensed Matter · Physics 2009-11-07 A. Lamura , G. Gompper , T. Ihle , D. M. Kroll

In this work we study the dynamic behaviour of compound shells of revolution partially filled with an ideal incompressible fluid based on boundary-value problems. New analytical mathematical model with corresponding discrete scheme for the…

Computational Engineering, Finance, and Science · Computer Science 2016-06-15 Iryna Kononenko , Oleksiy Kononenko

In this paper we present numerical models for electrodynamical flows with time-dependent electrical fields with transport of bubbles. Such models are applied in e-jet printing, e.g., additive manufacturing (AM), and convective cooling,…

Computational Physics · Physics 2020-05-20 Jürgen Geiser , Paul Mertin

The present paper considers the full nonlinear dynamics of a homogeneous bubble inside an unbounded isentropic compressible inviscid liquid. This model is described by a free-boundary problem of compressible Euler equations with nonlinear…

Analysis of PDEs · Mathematics 2025-03-12 Liangchen Zou

Knowledge of bubble and drop size distributions in two-phase flows is important for characterizing a wide range of phenomena, including combustor ignition, sonar communication, and cloud formation. The physical mechanisms driving the…

Fluid Dynamics · Physics 2021-01-28 Wai Hong Ronald Chan , Michael S. Dodd , Perry L. Johnson , Parviz Moin

Bubbles in complex fluids are often desirable, and sometimes simply inevitable, in the processing of formulated products. Bubbles can rise by buoyancy, grow or dissolve by mass transfer, and readily respond to changes in pressure, thereby…

Fluid Dynamics · Physics 2020-11-02 Brice Saint-Michel , Valeria Garbin

This paper presents a novel methodology for the direct numerical modeling and simulation of turbulent flows. The kinetic model equation is firstly extended to turbulent flow with the account of coupled evolution of kinetic, thermal, and…

Computational Physics · Physics 2025-03-11 Xiaojian Yang , Kun Xu
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