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SECOND ORDER UNCONDITIONALLY STABLE AND CONVERGENT LINEARIZED SCHEME FOR A FLUID-FLUID INTERACTION MODEL

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Journal of Computational Mathematics 2023年第1期41卷 72-93页

作者： Wei Li pengzhan huang Yinnian He College of Mathematics and System Sciences Xinjiang UniversityUrumqi 830017China School of Mathematics and Statistics Xi’an Jiaotong UniversityXi’an 710049China

In this paper,a fully discrete finite element scheme with second-order temporal accuracy is proposed for a fluid-fluid interaction model,which consists of two Navier-Stokes equations coupled by a linear interface *** proposed fully discrete scheme is a combination of a mixed finite element approximation for spatial discretization,the secondorder backward differentiation formula for temporal discretization,the second-order Gear’s extrapolation approach for the interface terms and extrapolated treatments in linearization for the nonlinear ***,the unconditional stability is established by rigorous analysis and error estimate for the fully discrete scheme is also ***,some numerical experiments are carried out to verify the theoretical results and illustrate the accuracy and efficiency of the proposed scheme.

关键词： Fluid-fluid interaction model Unconditional stability Second order temporal accuracy Error estimate

An Uzawa-type algorithm for the coupled Stokes equations

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Applied Mathematics and Mechanics(English Edition) 2020年第7期41卷 1095-1104页

作者： pengzhan huang Yinnian HE College of Mathematics and System Sciences Xinjiang UniversityUrumqi 830046China School of Mathematics and Statistics Xi’an Jiaotong UniversityXi’an 710049China

An Uzawa-type algorithm is designed for the coupled Stokes equations discretized by the mixed finite element *** velocity solved by the presented algorithm is weakly divergence-free,which is different from the one sol... 详细信息

关键词： coupled Stokes equation Uzawa method optimal relaxation parameter weakly divergence-free

Convergence and stability of two-level penalty mixed finite element method for stationary Navier-Stokes equations

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Frontiers of Mathematics in China 2013年第4期8卷 837-854页

作者： pengzhan huang Yinnian HE Xinlong FENG College of Mathematics and System Sciences Xinjiang University Urumqi 830046 China School of Mathematics and Statistics Xi'an Jiaotong University Xi'an 710049 China

The two-level penalty mixed finite element method for the stationary Navier-Stokes equations based on Taylor-Hood element is considered in this paper. Two algorithms are proposed and analyzed. Moreover, the optimal stability analysis and error estimate for these two algorithms are provided. Finally, the numerical tests confirm the theoretical results of the presented algorithms.

关键词： Navier-Stokes equation level strategy Taylor-Hood element penalty mixed finite element method two-error estimate stability analysis

THE TWO-LEVEL STABILIZED FINITE ELEMENT METHOD BASED ON MULTISCALE ENRICHMENT FOR THE STOKES EIGENVALUE PROBLEM

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Acta Mathematica Scientia 2021年第2期41卷 381-396页

作者：文娟黄鹏展何雅玲 Key Laboratory of Thermo-Fluid Science and Engineering of Ministry of Education School of Energy and Power EngineeringXi'an Jiaotong UniversityXi'an 710049China School of Sciences Xi'an University of TechnologyXi'an 710048China College of Mathematics and System Sciences Xinjiang UniversityUrumqi 830046China

In this paper,we first propose a new stabilized finite element method for the Stokes eigenvalue *** new method is based on multiscale enrichment,and is derived from the Stokes eigenvalue problem *** convergence of this new stabilized method is proved and the optimal priori error estimates for the eigenfunctions and eigenvalues are also ***,we combine this new stabilized finite element method with the two-level method to give a new two-level stabilized finite element method for the Stokes eigenvalue ***,we have proved a priori error estimates for this new two-level stabilized ***,numerical examples confirm our theoretical analysis and validate the high effectiveness of the new methods.

关键词： Two-level multiscale finite element method P_(1)/P_(1)elements the Stokes eigenvalue problem

A bibliometric analysis of 3D microfluidic chip in cancer

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Chinese Medical Journal 2024年第13期137卷 1617-1619页

作者： Yingyun Guo Chuan Liu Chen Tan Yangbo Li Junhai Zhen Haodong He Jiayi Sun Ying Chen Zongbiao Tan Yanrui Wu Suqi Zeng pengzhan He Jixiang Zhang Fei Liao Weihua huang Weiguo Dong Department of Gastroenterology Renmin Hospital of Wuhan UniversityWuhanHubei 430060China Department of General Practice Renmin Hospital of Wuhan UniversityWuhanHubei 430060China College of Chemistry and Molecular Sciences Wuhan UniversityWuhanHubei 430072China

To the Editor:Cancer,as one of the foremost health challenges in the world today,has garnered significant attention from the medical and scientific *** an emerging technology,3D microfluidic chips have shown great potentials in the treatment of various ***,we aimed to conduct a bibliometric analysis of the relevant literature on 3D microfluidic chips in cancer showcasing their current status,hotspots,and development trends.

关键词： fluid cancer Cancer

A thermodynamic perspective on electrode poisoning in solid oxide fuel cells

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International Journal of Minerals,Metallurgy and Materials 2024年第6期31卷 1449-1455页

作者： Kevin huang Department of Mechanical Engineering University of South CarolinaColumbiaUSA

A critical challenge to the commercialization of clean and high-efficiency solid oxide fuel cell(SOFC)technology is the insuf-ficient stack lifespan caused by a variety of degradation mechanisms,which are associated with cell components and chemical *** components related degradation refers to thermal/chemical/electrochemical deterioration of cell materials under operating conditions,whereas the latter regards impurities in feedstocks of oxidant(air)and reductant(fuel).This article provides a thermodynamic perspective on the understanding of the impurities-induced degradation mechanisms in *** discussion focuses on using thermodynamic ana-lysis to elucidate poisoning mechanisms in cathodes by impurity species such as Cr,CO_(2),H_(2)O,and SO_(2) and in the anode by species such as S(or H_(2)S),SiO_(2),and P_(2)(or PH_(3)).The author hopes the presented fundamental insights can provide a theoretical foundation for search-ing for better technical solutions to address the critical degradation challenges.

关键词： impurities air fuel reaction activity

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流体-流体相互作用模型的无条件稳定格式

新疆大学学报（自然科学版）（中英文） 2022年第5期39卷 522-529页

作者：李伟黄鹏展新疆大学数学与系统科学学院新疆乌鲁木齐830017

流体-流体相互作用模型是大气海洋模型的一个简单形式.通过考虑求解流体-流体相互作用问题的数值逼近方法,建立了全离散方法的无条件稳定性,并通过数值实验验证了理论结果.

关键词：流体-流体相互作用模型修正标量辅助变量技巧无条件稳定

Sintering of phosphor-glass composites goes ultrafast

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Science China Materials 2024年第8期67卷 2711-2712页

作者： Xiaoyong huang College of Electronic Information and Optical Engineering Taiyuan University of TechnologyTaiyuan 030024China

Nowadays,with the rapid technological progress of high-quality lightings and high-end displays,high-power white light-emitting diodes(WLEDs)and high-brightness white laser diodes(WLDs)featuring with high energy density excitation,high output power and high device stability have been extensively investigated and regarded as the new-generation solid-state light sources[1–6].

关键词： diodes WLED white

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A theory for three-dimensional response of micropolar plates

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Applied Mathematics and Mechanics(English Edition) 2024年第8期45卷 1403-1414页

作者： Dianwu huang Linghui HE College of Civil Engineering and Architectural Jiaxing University Department of Modern Mechanics and State Key Laboratory of Fire Science University of Science and Technology of China

Through combined applications of the transfer-matrix method and asymptotic expansion technique, we formulate a theory to predict the three-dimensional response of micropolar plates. No ad hoc assumptions regarding through-thickness assumptions of the field variables are made, and the governing equations are two-dimensional, with the displacements and microrotations of the mid-plane as the unknowns. Once the deformation of the mid-plane is solved, a three-dimensional micropolar elastic field within the plate is generated, which is exact up to the second order except in the boundary region close to the plate edge. As an illustrative example, the bending of a clamped infinitely long plate caused by a uniformly distributed transverse force is analyzed and discussed in detail.

关键词： 74H45 asymptotic expansion micropolar plate O341 three-dimensional response transfer-matrix