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A contemporary procedure to grow artificial tissue is to seed cells onto a porous biomaterial scaffold and culture it within a perfusion bioreactor to facilitate the transport of nutrients to growing cells. Typical models of cell growth for…

组织与器官 · 定量生物学 2018-05-01 Andrew L. Krause , Dmitry Beliaev , Robert A. Van Gorder , Sarah L. Waters

We study an ad hoc extension of the Lattice-Boltzmann method that allows the simulation of non-Newtonian fluids described by generalized Newtonian models. We extensively test the accuracy of the method for the case of shear-thinning and…

软凝聚态物质 · 物理学 2015-06-25 Susana Gabbanelli , German Drazer , Joel Koplik

The present paper deals with the study of the fluence rate over both healthy and tumor tissues in the presence of focal laser ablation (FLA). We propose new analytical solutions for the coupled partial differential equations (PDE) system,…

偏微分方程分析 · 数学 2025-04-23 Luisa Consiglieri

We report a Lattice-Boltzmann scheme that accounts for adsorption and desorption in the calculation of mesoscale dynamical properties of tracers in media of arbitrary complexity. Lattice Boltzmann simulations made it possible to solve…

The paper considers existence results of solution for a linear coupled system of Boltzmann transport equations and related inverse problem. The system models the evolution of three species of particles, photons, electrons and positrons.…

偏微分方程分析 · 数学 2019-12-02 Jouko Tervo

Current implementations of fluctuating lattice Boltzmann equations (FLBE) describe single component fluids. In this paper, a model based on the continuum kinetic Boltzmann equation for describing multicomponent fluids is extended to…

统计力学 · 物理学 2016-11-16 D. Belardinelli , M. Sbragaglia , L. Biferale , M. Gross , F. Varnik

A new lattice Boltzmann model (LBM) is presented to describe chemically reacting multicomponent fluid flow in homogenised porous media. In this work, towards further generalizing the multicomponent reactive lattice Boltzmann model, we…

流体动力学 · 物理学 2024-09-06 Nilesh Sawant , Ilya Karlin

Microfluidics provides a powerful and versatile technology to accurately control spatial and temporal conditions for cell culturing and can therefore be used to study cellular responses to gradients. Here we use Lattice Boltzmann methods…

流体动力学 · 物理学 2013-08-12 Simon Tanaka , Dagmar Iber

Over the last decade, the Lattice Boltzmann method has found major scope for the simulation of a large spectrum of problems in soft matter, from multiphase and multi-component microfluidic flows, to foams, emulsions, colloidal flows, to…

软凝聚态物质 · 物理学 2024-11-25 A. Tiribocchi , M. Durve , M. Lauricella , A. Montessori , J. M. Tucny , S. Succi

A theoretical formulation of lattice Boltzmann models on a general curvilinear coordinate system is presented. It is based on a volumetric representation so that mass and momentum are exactly conserved as in the conventional lattice…

流体动力学 · 物理学 2024-01-31 Hudong Chen

We present a general phase-space kinetic model for charged particle transport through combined localised and delocalised states, capable of describing scattering collisions, trapping, detrapping and losses. The model is described by a…

统计力学 · 物理学 2016-09-14 Peter W. Stokes , Bronson Philippa , Daniel Cocks , Ronald D. White

In this work, we aimed to replicate and extend the results presented in the DiffFluid paper[1]. The DiffFluid model showed that diffusion models combined with Transformers are capable of predicting fluid dynamics. It uses a denoising…

流体动力学 · 物理学 2025-07-14 Yannick Gachnang , Vismay Churiwala

Aiming to study the bubble cavitation problem in quiescent and sheared liquids, a third-order isothermal lattice Boltzmann (LB) model that describes a two-dimensional ($2D$) fluid obeying the van der Waals equation of state, is introduced.…

计算物理 · 物理学 2018-10-22 V. Sofonea , T. Biciuşcă , S. Busuioc , Victor E. Ambruş , G. Gonnella , A. Lamura

Polymer dynamics in a turbulent flow is a problem spanning several orders of magnitude of length and time scales. A microscopic simulation covering all those scales from the polymer segment to the inertial scale of turbulence seems…

统计力学 · 物理学 2008-09-30 Jonghoon Lee , Burkhard Duenweg , Joerg Schumacher

To ensure homogeneous conditions within the complete area of perfused microfluidic bio-reactors, we develop a general design of a continuously feed bio-reactor with uniform perfusion flow. This is achieved by introducing a specific type of…

流体动力学 · 物理学 2009-05-20 Fridolin Okkels , Martin Dufva , Henrik Bruus

In this paper, we develop a lattice Boltzmann scheme based on the Vielbein formalism for the study of fluid flows on spherical surfaces. The Vielbein vector field encodes all details related to the geometry of the underlying spherical…

流体动力学 · 物理学 2025-12-16 Victor E. Ambrus , Elisa Bellantoni , Sergiu Busuioc , Alessandro Gabbana , Federico Toschi

In this paper, a coupling lattice Boltzmann (LB) model for simulating thermal flows on the standard D2Q9 lattice is developed in the framework of the double-distribution-function (DDF) approach in which the viscous heat dissipation and…

计算物理 · 物理学 2012-02-07 Q. Li , K. H. Luo , Y. L. He , Y. J. Gao , W. Q. Tao

The pseudopotential model within the Lattice Boltzmann Method (LBM) framework has emerged as a prominent approach in computational fluid dynamics due to its dual strengths in physical intuitiveness and computational tractability. However,…

流体动力学 · 物理学 2025-09-03 Yizhong Chen , Zhibin Wang

We explore a novel simulation route for Plasma Wakefield Acceleration (PWFA) by using the computational method known as the Lattice Boltzmann Method (LBM). LBM is based on a discretization of the continuum kinetic theory while assuring the…

The lattice Boltzmann method, after close to thirty years of presence in computational fluid dynamics has turned into a versatile, efficient and quite popular numerical tool for fluid flow simulations. The lattice Boltzmann method owes its…

流体动力学 · 物理学 2023-09-18 S. A. Hosseini , P. Boivin , D. Thevenin , I. Karlin