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Journal of Computational Mathematics 2024年第2期42卷 544-569页

作者： Changhui Yao Fengdan Zhang Cheng Wang School of Mathematics and Statistics Zhengzhou UniversityZhengzhou 450001China Department of Mathematics University of MassachusettsNorth DartmouthMA 02747USA

In this paper,we consider the Cahn-Hilliard-Hele-Shaw(CHHS)system with the dynamic boundary conditions,in which both the bulk and surface energy parts play important *** scalar auxiliary variable approach is introduced for the physical system;the mass conservation and energy dissipation is proved for the CHHS ***,a fully discrete SAV finite element scheme is proposed,with the mass conservation and energy dissipation laws established at a theoretical *** addition,the convergence analysis and error estimate is provided for the proposed SAV numerical scheme.

关键词： Cahn-Hilliard-Hele-Shaw system dynamic boundary conditions Bulk energy and surface energy Scalar auxiliary variable formulation Energy stability Convergence analysis

Long Time Behavior of the Cahn-Hilliard Equation with Irregular Potentials and dynamic boundary conditions

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Chinese Annals of Mathematics,Series B 2010年第5期31卷 679-712页

作者： Gianni GILARDI Alain MIRANVILLE Giulio SCHIMPERNA Dipartimento di Matematica Università di Pavia Laboratoire de Mathématiques et Applications Université de PoitiersBoulevard Marie et Pierre Curie-Téléport 286962 Chasseneuil Futuroscope CedexFrance

The Cahn-Hilliard equation with irregular potentials and dynamic boundary conditions is *** existence of the global attractor is proved and the long time behavior of the trajectories,namely,the convergence to steady s... 详细信息

关键词： Cahn-Hilliard equation dynamic boundary conditions Irregular potentials Global attractor ω-limit sets Convergence to steady states

SAV Finite Element Method for the Peng-Robinson Equation of State with dynamic boundary conditions

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Advances in Applied Mathematics and Mechanics 2023年第1期15卷 139-158页

作者： Changhui Yao Zhaoyue Du Lei Yang School of Mathematics and Statistics Zhengzhou UniversityZhengzhouHenan 450001China Faculty of Information Technology Macao University of Science and TechnologyMacao

In this paper,the Peng-Robinson equation of state with dynamic boundary conditions is discussed,which considers the interactions with solid *** first,the model is introduced and the regularization method on the nonlinear term is ***,The scalar auxiliary variable(SAV)method in temporal and finite element method in spatial are used to handle the Peng-Robinson equation of ***,the energy dissipation law of the numerical method is ***,we acquire the convergence of the discrete SAV finite element method(FEM).Finally,a numerical example is provided to confirm the theoretical result.

关键词： Peng-Robinson equation of state dynamic boundary conditions scalar auxiliary variable finite element method error estimates

A Novel Approach for the Numerical Simulation of Fluid-Structure Interaction Problems in the Presence of Debris

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Fluid dynamics & Materials Processing 2020年第5期16卷 979-991页

作者： Miaomiao Ren Xiaobin Shu Luohe Vocational College of Food Luohe462300China

A novel algorithm is proposed for the simulation of fluid-structure interaction *** particular,much attention is paid to natural phenomena such as debris *** fluid part(debris flow fluid)is simulated in the framework of the smoothed particle hydrodynamics(SPH)approach,while the solid part(downstream obstacles)is treated using the finite element method(FEM).Fluid-structure coupling is implemented through dynamic boundary *** particular,the software“TensorFlow”and an algorithm based on Python are combined to conduct the required *** simulation results show that the dynamics of viscous and non-viscous debris flows can be extremely different when there are obstacles in the downstream *** implemented SPH-FEM coupling method can simulate the fluid-structure coupling problem with a reasonable approximation.

关键词： Fluid-structure coupling SPH FEM TensorFlow python dynamic boundary conditions

Long Wavelength Approximation to Peristaltic Motion of Micropolar Fluid with Wall Effects

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Advances in Applied Mathematics and Mechanics 2010年第2期2卷 222-237页

作者： Gurunath.C.Sankad G.Radhakrishnamacharya J.V.Ramanamurthy Department of Mathematics National Institute of TechnologyWarangal-506004India

Peristaltic motion of an incompressible micropolar fluid in a two-dimensional channel with wall effects is *** that the wave length of the peristaltic wave is large in comparison to the mean half width of the channel,a perturbation method of solution is obtained in terms of wall slope parameter,under dynamic boundary *** form expressions are derived for the stream function and average velocity and the effects of pertinent parameters on these flow variables have been *** has been observed that the time average velocity increases numerically with micropolar ***,the time average velocity also increases with stiffness in the wall.

关键词： Peristaltic motion micropolar fluid dynamic boundary conditions

Analysis of Heat Transfer Phenomena inside Concrete Hollow Blocks

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Journal of Building Material Science 2022年第1期4卷 21-33页

作者： Joelle Al Fakhoury Emilio Sassine Yassine Cherif Joseph Dgheim Emmanuel Antczak Thierry Chartier Lebanese University Habitat and Energy UnitGroup of MechanicalThermal and Renewable Energies-Laboratory of Applied Physics(LPA-GMTER)Faculty of SciencesFanar CampusLebanon University Artois IMT Lille DouaiJuniaUniversity LilleULR 4515Laboratoire de Génie Civil et géo Environnement(LGCgE)F-62400BéthuneFrance

During both hot and cold seasons,masonry walls play an important role in the thermal performance between the interior and the exterior of occupied *** is thus essential to analyze the thermal behavior at the hollow block’s level in order to better understand the temperature and heat flux distribution in its structure and potentially limit as much as possible the heat transfer through the *** this scope,this paper offers an experimental and numerical in-depth analysis of heat transfer phenomena inside a hollow block using a dedicated experimental setup including a well-insulated reference box and several thermocouples and fluxmeters distributed at the boundaries and inside the hollow *** block was then numerically 3D modelled and simulated using COMSOL Multiphysics under the same conditions,properties,and dimensions as the experimentally tested *** comparison between the numerical and experimental results provides very satisfactory results with relative difference of less than 4%for the computed thermal resistance.

关键词： Hollow block Cavities Thermophysical properties dynamic boundary conditions 3D modelling