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Related papers: A diffuse-interface model for N-phase flows with l…

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The lattice Boltzmann (LB) method has gained much success in a variety of fields involving fluid flow and/or heat transfer. In this method, the bounce-back scheme is a popular boundary scheme for treating nonslip boundaries. However, this…

Computational Physics · Physics 2020-07-01 Y. Yu , Q. Li , Z. X. Wen

The diffuse medium in and around galaxies can exist in a multi-phase state: small, cold gas clouds contributing significantly to the total mass embedded in pressure equilibrium with a hotter, more diffuse volume-filling component. Modeling…

Astrophysics of Galaxies · Physics 2022-12-28 Rainer Weinberger , Lars Hernquist

We present a systematic study of capillary filling for multi-phase flows by using mesoscopic lattice Boltzmann models describing a diffusive interface moving at a given contact angle with respect to the walls. We compare the numerical…

Cellular Automata and Lattice Gases · Physics 2007-07-09 F. Diotallevi , L. Biferale , S. Chibbaro , A. Lamura , G. Pontrelli , M. Sbragaglia , S. Succi , F. Toschi

We introduce a diffuse-interface Landau-de Gennes free energy for nematic liquid crystals (NLC) systems, with free boundaries, in three dimensions submerged in isotropic liquid, and a phase field is introduced to model the deformable…

Analysis of PDEs · Mathematics 2025-09-23 Dawei Wu , Baoming Shi , Yucen Han , Pingwen Zhang , Apala Majumdar , Lei Zhang

We propose a model describing the liquid-vapour phase transition according to a phase-field approach. The model takes up a setting proposed by the second author, where a phase field is introduced whose equilibrium values 0 and 1 are…

Mathematical Physics · Physics 2010-12-14 V. Berti , M. Fabrizio , D. Grandi

We develop a model describing the behavior of two-phase ferrofluid flows using phase field-techniques and present an energy-stable numerical scheme for it. For a simplified, yet physically realistic, version of this model and the…

Numerical Analysis · Mathematics 2016-08-24 Ricardo H. Nochetto , Abner J. Salgado , Ignacio Tomas

This paper presents an enhancement to the free surface lattice Boltzmann method (FSLBM) for the simulation of bubbly flows including rupture and breakup of bubbles. The FSLBM uses a volume of fluid approach to reduce the problem of a…

Computational Physics · Physics 2016-04-07 Daniela Anderl , Simon Bogner , Cornelia Rauh , Ulrich Rüde , Antonio Delgado

A diffusion interface two-phase magnetohydrodynamic model has been used for matched densities in our previous work [1,2], which may limit the applications of the model. In this work, we derive a thermodynamically consistent diffuse…

Numerical Analysis · Mathematics 2024-03-13 Ke Zhang

Conventional phase-field models often drive solid-solid interfaces to coalesce when in close proximity. This feature limits their use for processes like diffusion bonding, where the interfaces might need to remain distinct under certain…

Materials Science · Physics 2026-02-20 Maryam Khodadad , Noel Walkington , Suresh Kalyanam , Matteo Pozzi , Kaushik Dayal

A hybrid computational method coupling the lattice-Boltzmann (LB) method and a Langevin-dynamics (LD) method is developed to simulate nanoscale particle and polymer (NPP) suspensions in the presence of both thermal fluctuation and…

We present a two-way coupled fluid-structure interaction scheme for rigid bodies using a two-population lattice Boltzmann formulation for compressible flows. Arbitrary Lagrangian-Eulerian formulation of the discrete Boltzmann equation on…

Fluid Dynamics · Physics 2021-11-03 Abhimanyu Bhadauria , Benedikt Dorschner , Ilya Karlin

A fully conservative sharp-interface method is developed for multiphase flows with phase change. The coupling between two phases is implemented via introducing the interfacial fluxes, which are obtained by solving a general Riemann problem…

Computational Physics · Physics 2021-10-18 Tian Long , Jinsheng Cai , Shucheng Pan

Entropic lattice Boltzmann methods have been developed to alleviate intrinsic stability issues of lattice Boltzmann models for under-resolved simulations. Its reliability in combination with moving objects was established for various…

Fluid Dynamics · Physics 2017-06-21 B. Dorschner , S. S. Chikatamarla , I. V. Karlin

Discrete particle simulation, a combined approach of computational fluid dynamics and discrete methods such as DEM (Discrete Element Method), DSMC (Direct Simulation Monte Carlo), SPH (Smoothed Particle Hydrodynamics), PIC…

Fluid Dynamics · Physics 2014-06-20 Limin Wang , Bo Zhang , Xiaowei Wang , Wei Ge , Jinghai Li

The leaky dielectric model is widely used in simulating two-phase electrohydrodynamic (EHD) flows. One critical issue with this classical model is the assumption of Ohmic conduction, which makes it inadequate for describing the newly…

Fluid Dynamics · Physics 2025-01-10 Mingzhen Zheng , Lei Wang , Fang Xiong , Jiangxu Huang , Kang Luo

When boiling occurs in a liquid flow field, the phenomenon is known as forced-convection boiling. We numerically investigate such a boiling system on a cylinder in a flow at a saturated condition. To deal with the complicated liquid-vapor…

In contrast to the commonly used lattice Boltzmann method, off-lattice Boltzmann methods decouple the velocity discretization from the underlying spatial grid, thus allowing for more efficient geometric representations of complex…

Metal additive manufacturing via laser-based powder bed fusion (PBF-LB/M) faces performance-critical challenges due to complex melt pool and vapor dynamics, often oversimplified by computational models that neglect crucial aspects, such as…

Computational Engineering, Finance, and Science · Computer Science 2025-07-03 Magdalena Schreter-Fleischhacker , Nils Much , Peter Munch , Martin Kronbichler , Wolfgang A. Wall , Christoph Meier

We investigate a new diffuse-interface model that describes creeping two-phase flows (i.e., flows exhibiting a low Reynolds number), especially flows that permeate a porous medium. The system of equations consists of a Brinkman equation for…

Analysis of PDEs · Mathematics 2025-09-15 Pierluigi Colli , Patrik Knopf , Giulio Schimperna , Andrea Signori

We introduce an Eulerian approach for problems involving one or more soft solids immersed in a fluid, which permits mechanical interactions between all phases. The reference map variable is exploited to simulate finite-deformation…

Computational Physics · Physics 2015-12-16 Boris Valkov , Chris H. Rycroft , Ken Kamrin