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Assessment of slurry chamber clogging alleviation during ultra-large-diameter slurry tunnel boring machine tunneling in hard-rock using computational fluid dynamics-discrete element method:A case study 被引量:1
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作者 Yidong Guo Xinggao Li +2 位作者 Dalong Jin Hongzhi Liu Yingran Fang 《Journal of Rock Mechanics and Geotechnical Engineering》 2025年第8期4715-4734,共20页
To fundamentally alleviate the excavation chamber clogging during slurry tunnel boring machine(TBM)advancing in hard rock,large-diameter short screw conveyor was adopted to slurry TBM of Qingdao Jiaozhou Bay Second Un... To fundamentally alleviate the excavation chamber clogging during slurry tunnel boring machine(TBM)advancing in hard rock,large-diameter short screw conveyor was adopted to slurry TBM of Qingdao Jiaozhou Bay Second Undersea Tunnel.To evaluate the discharging performance of short screw conveyor in different cases,the full-scale transient slurry-rock two-phase model for a short screw conveyor actively discharging rocks was established using computational fluid dynamics-discrete element method(CFD-DEM)coupling approach.In the fluid domain of coupling model,the sliding mesh technology was utilized to describe the rotations of the atmospheric composite cutterhead and the short screw conveyor.In the particle domain of coupling model,the dynamic particle factories were established to produce rock particles with the rotation of the cutterhead.And the accuracy and reliability of the CFD-DEM simulation results were validated via the field test and model test.Furthermore,a comprehensive parameter analysis was conducted to examine the effects of TBM operating parameters,the geometric design of screw conveyor and the size of rocks on the discharging performance of short screw conveyor.Accordingly,a reasonable rotational speed of screw conveyor was suggested and applied to Jiaozhou Bay Second Undersea Tunnel project.The findings in this paper could provide valuable references for addressing the excavation chamber clogging during ultra-large-diameter slurry TBM tunneling in hard rock for similar future. 展开更多
关键词 Slurry tunnel boring machine(TBM) Short screw conveyor Slurry chamber clogging Computational fluid dynamics-discrete element method(CFD-DEM)coupled modeling Engineering application
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A stencil-like volume of fluid (VOF)method for tracking free interface
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作者 李孝伟 樊俊飞 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2008年第7期881-888,共8页
A stencil-like volume of fluid (VOF) method is proposed for tracking free interface. A stencil on a grid cell is worked out according to the normal direction of the interface, in which only three interface positions... A stencil-like volume of fluid (VOF) method is proposed for tracking free interface. A stencil on a grid cell is worked out according to the normal direction of the interface, in which only three interface positions are possible in 2D cases, and the interface can be reconstructed by only requiring the known local volume fraction information. On the other hand, the fluid-occupying-length is defined on each side of the stencil, through which a unified fluid-occupying volume model and a unified algorithm can be obtained to solve the interface advection equation. The method is suitable for the arbitrary geometry of the grid cell, and is extendible to 3D cases. Typical numerical examples show that the current method can give "sharp" results for tracking free interface. 展开更多
关键词 volume of fluid vof method fluid volume fraction function interfacere-construction
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基于HPC-VOF方法的质量源造波研究
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作者 吴铖毓 李超凡 朱仁传 《海洋工程》 北大核心 2026年第1期108-117,共10页
近年来,数值波浪水池已成为波浪模拟及波浪与结构物相互作用研究的重要手段。采用调和多项式单元法(HPC)高精度求解Laplace方程,引入体积分数法(VOF)实现自由面的稳定模拟与精确追踪,构建了全非线性HPC-VOF波浪水池。基于HPC理论框架采... 近年来,数值波浪水池已成为波浪模拟及波浪与结构物相互作用研究的重要手段。采用调和多项式单元法(HPC)高精度求解Laplace方程,引入体积分数法(VOF)实现自由面的稳定模拟与精确追踪,构建了全非线性HPC-VOF波浪水池。基于HPC理论框架采用域分解方法开发了各种非线性波浪的质量源造波技术,对深水五阶Stokes波模拟进行了网格和时间步收敛性研究。HPC-VOF波浪水池中不同参数的五阶Stokes波和椭圆余弦波的生成、传播和演化的时域模拟验证了不同水深条件下非线性波浪模拟的高效性,与解析解或参考文献数据的对比结果表明,数值波浪水池能高精度地再现非线性波浪的特征。此外,对微幅入射波和垂直壁面反射波叠加形成驻波的模拟能准确重现其演化过程及驻波的典型振动模式。 展开更多
关键词 调和多项式单元法 体积分数法 质量源方法 非线性波浪模拟
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基于VOF方法的码头群桩结构流固耦合动力响应数值模拟 被引量:1
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作者 张其一 孟祥飞 +1 位作者 陈凯 郭东起 《水运工程》 2025年第2期178-183,231,共7页
高桩结构是一种港口海岸码头广泛应用的结构形式,其在波浪作用下的结构动力响应是保证码头稳定运行的关键因素。使用ABAQUS软件建立码头三维模型、STAR-CCM+软件建立波浪水槽,采用k-ε湍流模型和流体体积(VOF)运动界面追踪方法模拟波浪... 高桩结构是一种港口海岸码头广泛应用的结构形式,其在波浪作用下的结构动力响应是保证码头稳定运行的关键因素。使用ABAQUS软件建立码头三维模型、STAR-CCM+软件建立波浪水槽,采用k-ε湍流模型和流体体积(VOF)运动界面追踪方法模拟波浪,实现码头群桩结构和波浪之间双向耦合的模拟。由于桩距与桩直径的比值大于4,不需要考虑桩间相互影响,对比模型试验误差低于5%精度可以满足要求。结果表明,码头群桩在波高为0.3、0.4、0.5 m下的最大受力和位移均能满足规范要求,桩顶处位移最大为0.66 mm;最大应力产生在群桩前排桩底,为152.4 kPa,桩底区域混凝土易发生失稳破坏,实际工程中应格外关注。 展开更多
关键词 群桩结构 vof方法 双向耦合 结构动力响应
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基于DES模型及VOF方法的泄洪消能结构水流脉动特性分析
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作者 侯春尧 张洪毅 +5 位作者 胡长浩 刘璐瑶 刘康 谢辉 李永龙 王皓冉 《科学技术与工程》 北大核心 2025年第18期7770-7777,共8页
强烈的水流脉动是造成消力池等水工结构损伤的重要原因之一,因此明晰水工结构中的水流脉动特性对保障工程安全运行至关重要。基于DES模型及VOF方法建立了亭子口水电站消力池水工模型的精细数值模型,模拟结果与实验结果一致性较好。基于... 强烈的水流脉动是造成消力池等水工结构损伤的重要原因之一,因此明晰水工结构中的水流脉动特性对保障工程安全运行至关重要。基于DES模型及VOF方法建立了亭子口水电站消力池水工模型的精细数值模型,模拟结果与实验结果一致性较好。基于数值模拟结果分析了消力池中压力波动、脉动流速、涡量、以及紊动能的分布变化情况。结果表明消力池中压力波动沿水流方向表现出双峰分布特点,且在水流冲击区脉动量占比超过10%;展向和流向脉动流速在消力池中占主导地位,垂向脉动较弱,在水舌碰撞区域底板中心线处的展向脉动流速迅速减小;底板中心线和表孔中心线上流向和垂向的涡量具有小时均值、大脉动值的特点,跌坎引起的横轴旋涡对展向涡量分布有较大影响。紊动能能谱分析的结果显示消力池中水流脉动主要由大量1Hz以下的低频脉动组成,表明消力池中的紊流波动主要由大尺度和低频的涡流控制。研究结果有助于加深对消力池等泄洪消能结构水流特性的认知,为其设计及安全评估提供了一定参考。 展开更多
关键词 消力池 数值模拟 脉动特性 DES模型 vof方法
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Numerical simulation of solitary and random wave propagation through vegetation based on VOF method 被引量:6
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作者 ZHANG Mingliang HAO Zining +1 位作者 ZHANG Yunpeng WU Weiming 《Acta Oceanologica Sinica》 SCIE CAS CSCD 2013年第7期38-46,共9页
A vertical two-dimensional numerical model has been applied to solving the Reynolds Averaged Navier- Stokes (RANS} equations in the simulation of current and wave propagation through vegetated and non- vegetated wate... A vertical two-dimensional numerical model has been applied to solving the Reynolds Averaged Navier- Stokes (RANS} equations in the simulation of current and wave propagation through vegetated and non- vegetated waters. The k-e model is used for turbulence closure of RANS equations. The effect of vegeta- tion is simulated by adding the drag force of vegetation in the flow momentum equations and turbulence model. To solve the modified N-S equations, the finite difference method is used with the staggered grid system to solver equations. The Youngs' fractional volume of fluid (VOF) is applied tracking the free sur- face with second-order accuracy. The model has been tested by simulating dam break wave, pure current with vegetation, solitary wave runup on vegetated and non-vegetated channel, regular and random waves over a vegetated field. The model reasonably well reproduces these experimental observations, the model- ing approach presented herein should be useful in simulating nearshore processes in coastal domains with vegetation effects. 展开更多
关键词 vof method VEGETATION SOLITARY regular and random waves wave height attenuation k-emodel
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DIFFERENTIAL QUADRATURE METHOD TO STABILITY ANALYSIS OF PIPES CONVEYING FLUID WITH SPRING SUPPORT 被引量:15
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作者 Ni Qiao Huang Yuying 《Acta Mechanica Solida Sinica》 SCIE EI 2000年第4期320-327,共8页
It is a new attempt to extend the differential quadrature method(DQM) to stability analysis of the straight and curved centerlinepipes conveying fluid. Emphasis is placed on the study of theinfluences of several param... It is a new attempt to extend the differential quadrature method(DQM) to stability analysis of the straight and curved centerlinepipes conveying fluid. Emphasis is placed on the study of theinfluences of several parameters on the critical flow velocity.Compared to other methods, this method can more easily deal with thepipe with spring support at its boundaries and asks for much lesscomputing effort while giving ac- ceptable precision in the numericalresults. 展开更多
关键词 pipes conveying fluid differential quadrature method critical flowvelocity
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Developments of numerical methods for linear and nonlinear fluid-solid interaction dynamics with applications 被引量:9
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作者 Jing Tang XING 《力学进展》 EI CSCD 北大核心 2016年第1期95-139,共45页
关键词 linear and nonlinear fluid-solid interactions MIXED FE-substructuremethod MIXED FE-BE method MIXED FE-FD method MIXED FE-SP method fluidsloshing acoustic volume—structure coupling breaking WAVE simulations pressurewaves in fluids LNG ship VLFS-water interaction WAVE energy harvesting
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An Irregular Wave Maker of Active Absorption with VOF Method 被引量:5
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作者 任冰 李雪临 王永学 《China Ocean Engineering》 SCIE EI 2008年第4期623-634,共12页
A numerical irregular wave flume with active absorption of re-reflected waves is simulated by use of volume of fluid (VOF) method. An active 'absorbing wave-maker based on linear wave theory is set on the left boun... A numerical irregular wave flume with active absorption of re-reflected waves is simulated by use of volume of fluid (VOF) method. An active 'absorbing wave-maker based on linear wave theory is set on the left boundary of the wave flume. The progressive waves and the absorbing waves are generated simultaneously at the active wave generating-absorbing boundary. The absorbing waves are generated to eliminate the waves coming back to the generating boundary due to reflection from the outflow boundary and the structures. SIRW method proposed by Frigaard and Brorsen (1995) is used to separate the incident waves and reflected waves. The digital filters are designed based on the surface elevation signals of the two wave gauges. The corrected velocity of the wave-maker paddle is the output from the digital filter in real time. The numerical results of regular and irregular waves by the active absorbing-generating boundary are compared with the numerical results by the ordinary generating boundary to verify the performance of the active absorbing-generator boundary. The differences between the initial incident waves and the estimated incident waves are analyzed. 展开更多
关键词 vof irregular wave SIRW method active absorbing wave-maker
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Preparation of TiO_2-MoO_3 nano-composite photo-catalyst by supercritical fluid dry method 被引量:6
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作者 ZHANGJing-chang LIQing CAOWei-liang 《Journal of Environmental Sciences》 SCIE EI CAS CSCD 2005年第2期350-352,共3页
A series of TiO 2-MoO 3 nano-composite photocatalysts were prepared by supercritical fluid dry method(SCFD) and an impregnation technique with TiCl 4 and (NH 4) 6Mo 7O 24 ·4H 2O as the starting materia... A series of TiO 2-MoO 3 nano-composite photocatalysts were prepared by supercritical fluid dry method(SCFD) and an impregnation technique with TiCl 4 and (NH 4) 6Mo 7O 24 ·4H 2O as the starting materials. The catalysts were characterized by the means of XRD, TEM and UV-Vis. Methyl orange was used as model compound for the evaluation of their catalytic activities. The results indicated that the photo-catalyst prepared by SCFD had the advantages of small size(12.84 nm), narrow distribution and good dispersivity. The presence of small amount of Mo in composite catalyst gives rise to the red shift of its absorbance wavelength, decrease of its energy gap and increase of the utility of visible light. Furthermore, higher surface acidity of the photo-catalyst was obtained as the result of the addition of MoO 3. Compared with pure TiO 2, the catalytic activity of the TiO 2-MoO 3 nano-composite photo-catalyst was improved significantly. As the doping concentration of the composite catalysts was controlled at 0.6%(molar percentage), 100% degradation of methyl orange was achieved with in 1.2 h irradiation time. 展开更多
关键词 TiO 2 MoO 3 PHOTOCATALYTIC supercritical fluid dry method
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Modeling droplet vaporization and combustion with the volume of fluid method at a small Reynolds number 被引量:2
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作者 Xiao-bin ZHANG Wei ZHANG Xue-jun ZHANG 《Journal of Zhejiang University-Science A(Applied Physics & Engineering)》 SCIE EI CAS CSCD 2012年第5期361-374,共14页
The volume of fluid(VOF) formulation is applied to model the combustion process of a single droplet in a hightemperature convective air free stream environment.The calculations solve the flow field for both phases,and... The volume of fluid(VOF) formulation is applied to model the combustion process of a single droplet in a hightemperature convective air free stream environment.The calculations solve the flow field for both phases,and consider the droplet deformation based on an axisymmetrical model.The chemical reaction is modeled with one-step finite-rate mechanism and the thermo-physical properties for the gas mixture are species and temperature dependence.A mass transfer model applicable to the VOF calculations due to vaporization of the liquid phases is developed in consideration with the fluctuation of the liquid surface.The model is validated by examining the burning rate constants at different convective air temperatures,which accord well with experimental data of previous studies.Other phenomena from the simulations,such as the transient history of droplet deformation and flame structure,are also qualitatively accordant with the descriptions of other numerical results.However,a different droplet deformation mechanism for the low Reynolds number is explained compared with that for the high Reynolds number.The calculations verified the feasibility of the VOF computational fluid dynamics(CFD) formulation as well as the mass transfer model due to vaporization. 展开更多
关键词 DROPLET VAPORIZATION Combustion process Volume of fluid(vof) Numerical simulation
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A GHOST FLUID BASED FRONT TRACKING METHOD FOR MULTIMEDIUM COMPRESSIBLE FLOWS 被引量:3
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作者 王东红 赵宁 +1 位作者 胡偶 刘剑明 《Acta Mathematica Scientia》 SCIE CSCD 2009年第6期1629-1646,共18页
Recent years the modify ghost fluid method (MGFM) and the real ghost fluid method (RGFM) based on Riemann problem have been developed for multimedium compressible flows. According to authors, these methods have on... Recent years the modify ghost fluid method (MGFM) and the real ghost fluid method (RGFM) based on Riemann problem have been developed for multimedium compressible flows. According to authors, these methods have only been used with the level set technique to track the interface. In this paper, we combine the MCFM and the RGFM respectively with front tracking method, for which the fluid interfaces are explicitly tracked by connected points. The method is tested with some one-dimensional problems, and its applicability is also studied. Furthermore, in order to capture the interface more accurately, especially for strong shock impacting on interface, a shock monitor is proposed to determine the initial states of the Riemann problem. The present method is applied to various one- dimensional problems involving strong shock-interface interaction. An extension of the present method to two dimension is also introduced and preliminary results are given. 展开更多
关键词 front tracking method ghost fluid method multimedium compressible flow Riemann problem
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Numerical Simulation of Low Reynolds Number Fluid-Structure Interaction with Immersed Boundary Method 被引量:3
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作者 Ming Pingjian Zhang Wenping 《Chinese Journal of Aeronautics》 SCIE EI CAS CSCD 2009年第5期480-485,共6页
This article introduces a numerical scheme on the basis of semi-implicit method for pressure-linked equations (SIMPLE) algorithm to simulate incompressible unsteady flows with fluid-structure interaction. The Navier... This article introduces a numerical scheme on the basis of semi-implicit method for pressure-linked equations (SIMPLE) algorithm to simulate incompressible unsteady flows with fluid-structure interaction. The Navier-Stokes equation is discretized spatially with collocated finite volume method and Eulerian implicit method in time domain. The hybrid method that combines immersed boundary method (IBM) and volume of fluid (VOF) method is used to deal with rigid body motion in fluid domain. The details of movement of immersed boundary (IB) and calculation of VOF are also described. This method can be easily applied to any existing finite-volume-based computational fluid dynamics (CFD) solver without complex operation, with which fluid flow interaction of arbitrarily complex geometry can be realized on a fixed mesh. The method is verified by low Reynolds number flows passing both stationary and oscillating cylinders. The drag and lift coefficients acquired by the study well accord with other published results, which indicate the reasonability of the proposed method. 展开更多
关键词 fluid-structure interaction immersed boundary method volume of fluid vortex shedding incompressible flow
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Particulate flow modelling in a spiral separator by using the Eulerian multi-fluid VOF approach 被引量:7
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作者 Lingguo Meng Shuling Gao +4 位作者 Dezhou Wei Qiang Zhao Baoyu Cui Yanbai Shen Zhenguo Song 《International Journal of Mining Science and Technology》 SCIE EI CAS CSCD 2023年第2期251-263,共13页
The Euler-Euler model is less effective in capturing the free surface of flow film in the spiral separator,and thus a Eulerian multi-fluid volume of fluid(VOF)model was first proposed to describe the particulate flow ... The Euler-Euler model is less effective in capturing the free surface of flow film in the spiral separator,and thus a Eulerian multi-fluid volume of fluid(VOF)model was first proposed to describe the particulate flow in spiral separators.In order to improve the applicability of the model in the high solid concentration system,the Bagnold effect was incorporated into the modelling framework.The capability of the proposed model in terms of predicting the flow film shape in a LD9 spiral separator was evaluated via comparison with measured flow film thicknesses reported in literature.Results showed that sharp air–water and air-pulp interfaces can be obtained using the proposed model,and the shapes of the predicted flow films before and after particle addition were reasonably consistent with the observations reported in literature.Furthermore,the experimental and numerical simulation of the separation of quartz and hematite were performed in a laboratory-scale spiral separator.When the Bagnold lift force model was considered,predictions of the grade of iron and solid concentration by mass for different trough lengths were more consistent with experimental data.In the initial development stage,the quartz particles at the bottom of the flow layer were more possible to be lifted due to the Bagnold force.Thus,a better predicted vertical stratification between quartz and hematite particles was obtained,which provided favorable conditions for subsequent radial segregation. 展开更多
关键词 Spiral separator Computational fluid dynamics(CFD) Eulerian multi-fluid vof model Bagnold effect Particulate flow
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A review of methods,applications and limitations for incorporating fluid flow in the discrete element method 被引量:10
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作者 Tuo Wang Fengshou Zhang +1 位作者 Jason Furtney Branko Damjanac 《Journal of Rock Mechanics and Geotechnical Engineering》 SCIE CSCD 2022年第3期1005-1024,共20页
The past decade has witnessed the substantial growth in research interests and progress on the subject of coupled hydro-mechanical processes in rocks and soils,driven mainly by the surge of research in unconventional ... The past decade has witnessed the substantial growth in research interests and progress on the subject of coupled hydro-mechanical processes in rocks and soils,driven mainly by the surge of research in unconventional hydrocarbon reservoirs and associated hazards.Many coupling techniques have been developed to include the effects of fluid flow in the discrete element method(DEM),and the techniques have been applied to a variety of geomechanical problems.Although these coupling methods have been successfully applied in various engineering fields,no single fluid/DEM coupling method is universal due to the complexity of engineering problems and the limitations of the numerical methods.For researchers and engineers,the key to solve a specific problem is to select the most appropriate fluid/DEM coupling method among these modeling technologies.The purpose of this paper is to give a comprehensive review of fluid flow/DEM coupling methods and relevant research.Given their importance,the availability or unavailability of best practice guidelines is outlined.The theoretical background and current status of DEM are introduced first,and the principles,applications,and advantages and disadvantages of different fluid flow/DEM coupling methods are discussed.Finally,a summary with speculation on future development trends is given. 展开更多
关键词 Hydro-mechanical process fluid/discrete element method(DEM) coupling GEOMECHANICS Numerical modeling
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MHD flow of upper-convected Maxwell fluid over porous stretching sheet using successive Taylor series linearization method 被引量:3
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作者 S.S.MOTSA T.HAYAT O.M.ALDOSSARY 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2012年第8期975-990,共16页
This paper investigates the magnetohydrodynamic (MHD) boundary layer flow of an incompressible upper-convected Maxwell (UCM) fluid over a porous stretching surface. Similarity transformations are used to reduce th... This paper investigates the magnetohydrodynamic (MHD) boundary layer flow of an incompressible upper-convected Maxwell (UCM) fluid over a porous stretching surface. Similarity transformations are used to reduce the governing partial differential equations into a kind of nonlinear ordinary differential equations. The nonlinear prob- lem is solved by using the successive Taylor series linearization method (STSLM). The computations for velocity components are carried out for the emerging parameters. The numerical values of the skin friction coefficient are presented and analyzed for various parameters of interest in the problem. 展开更多
关键词 upper-convected Maxwell (UCM) fluid boundary layer flow successivelinearization method successive Taylor series linearization method (STSLM)
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Fluid structure interaction simulation of supersonic parachute inflation by an interface tracking method 被引量:9
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作者 Xue YANG Li YU +1 位作者 Min LIU Haofei PANG 《Chinese Journal of Aeronautics》 SCIE EI CAS CSCD 2020年第6期1692-1702,共11页
An Arbitrary Lagrangian-Eulerian(ALE)approach with interface tracking is developed in this paper to simulate the supersonic parachute inflation.A two-way interaction between a nonlinear finite element method and a fin... An Arbitrary Lagrangian-Eulerian(ALE)approach with interface tracking is developed in this paper to simulate the supersonic parachute inflation.A two-way interaction between a nonlinear finite element method and a finite volume method is accomplished.In order to apply this interface tracking method to problems with instantaneous large deformation and self-contact,a new virtual structure contact method is proposed to leave room for the body-fitted mesh between the contact structural surfaces.In addition,the breakpoint due to the fluid mesh with negative volume is losslessly restarted by the conservative interpolation method.Based on this method,fluid and structural dynamic behaviors of a highly folded disk-gap-band parachute are obtained.Numerical results such as maximum Root Mean Square(RMS)drag,general canopy shape and the smallest canopy projected areas in the terminal descent state are in accordance with the wind tunnel test results.This analysis reveals the inflation law of the disk-gap-band parachute and provides a new numerical method for supersonic parachute design. 展开更多
关键词 Contact method fluid structure interaction Inflation dynamics Numerical Simula lion:Supersonic paruchute
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Numerical simulation of single bubble rising in shear-thinning fluids by level set method 被引量:4
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作者 李少白 烟征 +2 位作者 李润东 王雷 栾敬德 《Journal of Central South University》 SCIE EI CAS CSCD 2016年第4期1000-1006,共7页
The behavior of single bubble rising in quiescent shear-thinning tlmds was lnvestlgateO numerically by level set metnoa. number of bubbles in a large range of Reynolds number and Eotvos number were investigated includ... The behavior of single bubble rising in quiescent shear-thinning tlmds was lnvestlgateO numerically by level set metnoa. number of bubbles in a large range of Reynolds number and Eotvos number were investigated including spherical, oblate and spherical. The bubble shape and drag coefficient were compared with experimental results. It is observed that the simulated results show good conformity to experimental results over a wide range of Reynolds number. In addition, the detailed flow field based on the reference coordinate system moving with the bubble is obtained, and the relationship among flow field, bubble shape and velocity is discussed. 展开更多
关键词 single bubble shear thinning fluid numerical simulation level set method
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Three-Dimensional Water-Quality Simulation for River Based on VOF Method 被引量:1
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作者 Ao Xuefei Wang Xiaoling +2 位作者 Song Mingrui Deng Shaohui Li Songmin 《Transactions of Tianjin University》 EI CAS 2016年第5期426-433,共8页
In the present study, considering the transport and transformation processes of variables, a threedimensional water quality model for the river system was established, which coupled the volume of fluid(VOF) method wit... In the present study, considering the transport and transformation processes of variables, a threedimensional water quality model for the river system was established, which coupled the volume of fluid(VOF) method with the k-ε turbulence mathematical model. Then, the water hydrodynamic characteristics and transport processes for BOD_5, NH_(3^-)N and TP were analyzed. The results showed that the water surface of convex bank was a little lower than that of concave bank due to the centrifugal force near the bend, and most concentrations were inferior to the type Ⅴ standard indexes of surface water environmental quality. The model validation indicated that the errors between the simulated and monitored values were comparatively small, satisfying the application demands and providing scientific basis and decision support for the restoration and protection of water quality. 展开更多
关键词 THREE-DIMENSIONAL WATER QUALITY MODEL volume of fluid method k-ε turbulence mathematical MODEL RIVER WATER QUALITY computational fluid dynamics
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Application of Multi-Step Differential Transform Method on Flow of a Second-Grade Fluid over a Stretching or Shrinking Sheet 被引量:6
20
作者 M.M Rashidi Ali J. Chamkha M Keimanesh 《American Journal of Computational Mathematics》 2011年第2期119-128,共10页
In this study, a reliable algorithm to develop approximate solutions for the problem of fluid flow over a stretching or shrinking sheet is proposed. It is depicted that the differential transform method (DTM) solution... In this study, a reliable algorithm to develop approximate solutions for the problem of fluid flow over a stretching or shrinking sheet is proposed. It is depicted that the differential transform method (DTM) solutions are only valid for small values of the independent variable. The DTM solutions diverge for some differential equations that extremely have nonlinear behaviors or have boundary-conditions at infinity. For this reason the governing boundary-layer equations are solved by the Multi-step Differential Transform Method (MDTM). The main advantage of this method is that it can be applied directly to nonlinear differential equations without requiring linearization, discretization, or perturbation. It is a semi analytical-numerical technique that formulizes Taylor series in a very different manner. By applying the MDTM the interval of convergence for the series solution is increased. The MDTM is treated as an algorithm in a sequence of intervals for finding accurate approximate solutions for systems of differential equations. It is predicted that the MDTM can be applied to a wide range of engineering applications. 展开更多
关键词 Non-Newtonian fluid STRETCHING Surface SHRINKING SHEET MULTI-STEP DIFFERENTIAL TRANSFORM method (MDTM)
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