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Improved finite difference method for pressure distribution of aerostatic bearing 被引量:4
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作者 郑书飞 蒋书运 《Journal of Southeast University(English Edition)》 EI CAS 2009年第4期501-505,共5页
An improved finite difference method (FDM)is described to solve existing problems such as low efficiency and poor convergence performance in the traditional method adopted to derive the pressure distribution of aero... An improved finite difference method (FDM)is described to solve existing problems such as low efficiency and poor convergence performance in the traditional method adopted to derive the pressure distribution of aerostatic bearings. A detailed theoretical analysis of the pressure distribution of the orifice-compensated aerostatic journal bearing is presented. The nonlinear dimensionless Reynolds equation of the aerostatic journal bearing is solved by the finite difference method. Based on the principle of flow equilibrium, a new iterative algorithm named the variable step size successive approximation method is presented to adjust the pressure at the orifice in the iterative process and enhance the efficiency and convergence performance of the algorithm. A general program is developed to analyze the pressure distribution of the aerostatic journal bearing by Matlab tool. The results show that the improved finite difference method is highly effective, reliable, stable, and convergent. Even when very thin gas film thicknesses (less than 2 Win)are considered, the improved calculation method still yields a result and converges fast. 展开更多
关键词 aerostatic bearing: pressure distribution: Reynolds equation: finite difference method variable step size
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Synthesis of Vanadium Nitride by a One Step Method 被引量:6
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作者 Sansan YU Nianxin FU +1 位作者 Feng GAO Zhitong SUI 《Journal of Materials Science & Technology》 SCIE EI CAS CSCD 2007年第1期43-46,共4页
Vanadium nitrides were prepared via one step method of carbothermal reduction and nitridation of vanadium trioxide. Thermalgravimetric analysis (TGA) and X-ray diffraction were used to determine the reaction paths o... Vanadium nitrides were prepared via one step method of carbothermal reduction and nitridation of vanadium trioxide. Thermalgravimetric analysis (TGA) and X-ray diffraction were used to determine the reaction paths of vanadium carbide, namely the following sequential reaction: V2O3→V8C7 in higher temperature stage, the rule of vanadium nitride synthesized was established, and defined conditions of temperature for the production of the carbides and nitrides were determined. Vanadium oxycarbide may consist in the front process of carbothermal reduction of vanadium trioxide. In one step method for vanadium nitride by carbothermal reduction and nitridation of vanadium trioxide, the nitridation process is simultaneous with the carbothermal reduction. A one-step mechanism of the carbothermal reduction with simultaneous nitridation leaded to a lower terminal temperature in nitridation process for vanadium nitride produced, compared with that of carbothermal reduction process without nitridation. The grain size and shape of vanadium nitride were uniform, and had the shape of a cube. The one step method combined vacuum carborization and nitridation (namely two step method) into one process. It simplified the technological process and decreased the costs. 展开更多
关键词 Vanadium nitride Vanadium trioxide Carbothermal reduction NITRIDATION One step method
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Modified precise time step integration method of structural dynamic analysis 被引量:6
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作者 汪梦甫 周锡元 《Earthquake Engineering and Engineering Vibration》 SCIE EI CSCD 2005年第2期287-293,共7页
The precise time step integration method proposed for linear time-invariant homogeneous dynamic systems can provide precise numerical results that approach an exact solution at the integration points. However, difficu... The precise time step integration method proposed for linear time-invariant homogeneous dynamic systems can provide precise numerical results that approach an exact solution at the integration points. However, difficulty arises when the algorithm is used for non-homogeneous dynamic systems, due to the inverse matrix calculation and the simulation accuracy of the applied loading. By combining the Gaussian quadrature method and state space theory with the calculation technique of matrix exponential function in the precise time step integration method, a new modified precise time step integration method (e.g., an algorithm with an arbitrary order of accuracy) is proposed. In the new method, no inverse matrix calculation or simulation of the applied loading is needed, and the computing efficiency is improved. In particular, the proposed method is independent of the quality of the matrix H. If the matrix H is singular or nearly singular, the advantage of the method is remarkable. The numerical stability of the proposed algorithm is discussed and a numerical example is given to demonstrate the validity and efficiency of the algorithm. 展开更多
关键词 structural dynamics time step integration method Gaussian quadrature method
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Gradient Step Method to Predict the Ozone Solubility in Water 被引量:1
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作者 Marco Aurelio Cremasco Vanessa Trevizan Mochi 《Journal of Environmental Science and Engineering(A)》 2012年第2期256-260,共5页
In this work it presents a strategy to obtain the ozone solubility in water by gradient step method. In this methodology, the ozone in mixture with oxygen is bubbling in a reactor with distilled water at 21℃ and pH 7... In this work it presents a strategy to obtain the ozone solubility in water by gradient step method. In this methodology, the ozone in mixture with oxygen is bubbling in a reactor with distilled water at 21℃ and pH 7. The ozone concentration on gas phase is continually increased after the saturation is reached. The method proposed is faster than conventional method (isocratic method). The solubility from the gradient method is compared with that values obtained from correlations founded in the literature. 展开更多
关键词 OZONE SOLUBILITY gradient step method isocratic method.
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FULL DISCRETE NONLINEAR GALERKIN METHOD FOR THE NAVIER-STOKES EQUATIONS 
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作者 LIKAITAI HEYINNIAN XIANGYIMIN 《Applied Mathematics(A Journal of Chinese Universities)》 SCIE CSCD 1994年第1期11-30,共20页
This paper deals with the inertial manifold and the approximate inertialmanifold concepts of the Navier-Stokes equations with nonhomogeneous boundary conditions and inertial algorithm. Furtheremore,we provide the erro... This paper deals with the inertial manifold and the approximate inertialmanifold concepts of the Navier-Stokes equations with nonhomogeneous boundary conditions and inertial algorithm. Furtheremore,we provide the error estimates of the approximate solutions of the Navier-Stokes Equations. 展开更多
关键词 Full Discrete Nonlinear Galerkin method Fractional Step method Approximate Inertial Manifold Navier-Stokes Equations.AMS Subject Classification.65N30 65M60.
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Iterative Methods for Parametric Linear Systems with Linear Functions
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作者 Hassan Badry Mohamed El-Owny 《Computer Technology and Application》 2013年第5期259-265,共7页
This paper mainly proposes a new C-XSC (C- for eXtended Scientific Computing) software for the symmetric single step method and relaxation method for computing an enclosure for the solution set and compares the meth... This paper mainly proposes a new C-XSC (C- for eXtended Scientific Computing) software for the symmetric single step method and relaxation method for computing an enclosure for the solution set and compares the methods with others' and then makes some modifications and finally, examples illustrating the applicability of the proposed methods are given. 展开更多
关键词 Parametric linear systems validated interval software C-XSC symmetric single step method relaxation method.
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Distribution of Oxytocin Hypothamic-Picuitary-Ovary Axis in Guangxi Local Buffalo 被引量:6
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作者 凌泽继 韩涛 +7 位作者 李瑞明 秦津 谢莹雪 许典新 杨柄壮 潘琼 奉倩 宋小白 《Agricultural Science & Technology》 CAS 2010年第5期138-143,154,共7页
To study the association of oxytocin (OT)'s distribution in hypothalamatic,pituitary and ovary,and understand how the OT secrete releasing in hypothalamus,pituitary and ovaries,the paraffin section immunohistochem... To study the association of oxytocin (OT)'s distribution in hypothalamatic,pituitary and ovary,and understand how the OT secrete releasing in hypothalamus,pituitary and ovaries,the paraffin section immunohistochemistry SuperPicTureTM two step method was used to detect the distribution of OT in hypothalamatic-pituitary-ovary axis of five femal Guangxi local buffalo. The test results could provide morphology according to study the OT's synthesis and mechanism of action,and could play reference and directions part in breeding Guangxi local buffalo. The test results display:oxytocin immuno reactive (OT-IR) neuronsw eremainly distributed arcuate nucleus,supraoptic nucleus and paraventricular nucleus,and OT-IR neurons was also found in ventromedial nucleus,ventrolateralis nucleus,suprachiasmaticus nucleus,dorsomedial nucleus,mamillary body,anterior hypothalamic nucleus and so on. The OT immunoactive production was found in pituitary and few OT-IR nerve fibers extended to post pituitary from hypophyseal stalk and medium eminence. In ovaries,OT immunoactive productions were only distributed in germinal epithelium cells,granulosa cells and lutein cells. The OT was first discovered in singulorum link of hypothalamatic-pituitary-ovary axis of Guangxi local buffalo. The OT immunoactive neurons were first discovered in every main nucleus of Guangxi local buffalo hypothalamus,especially distributed in arcuate nucleus,supraoptic nucleus and paraventricular nucleus. 展开更多
关键词 OT Guangxi local buffalo Hypothalamuses-pituitary-ovary axis Immunohistochemistry SuperPicTureTM two step method
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Modified One Step Isolation of RNA,DNA and Protein from Plant Tissues 被引量:1
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作者 肖笑 韩斌 +5 位作者 徐晟 李乐 何健 黄明 谢贵水 沈文飚 《Agricultural Science & Technology》 CAS 2010年第9期58-62,共5页
[Objective] The aim of this study was to extract RNA,DNA and protein from plants by using modified one step method.[Method]CTAB was used for the modifying of Biozol-based one step extraction method,which was then used... [Objective] The aim of this study was to extract RNA,DNA and protein from plants by using modified one step method.[Method]CTAB was used for the modifying of Biozol-based one step extraction method,which was then used for the isolation of RNA,DNA and protein from the roots of maize(Zea mays L.),soybean(Glycine max L.),alfalfa(Medicago sativa L.)and cucumber(Cucumis sativus L.).And the heme oxygenase-1 gene(HO-1)and calcium-dependent protein kinase-1 gene(CDPK1),as well as HO-1 protein were identified.[Result]The result of UV spectrophotometer determination and agarose gel electrophoresis analysis showed that the purity of obtained RNA and DNA sample was relatively high;HO-1 and CDPK1 gene exhibited the positive signals checked by RT-PCR;the extracted protein could be used for western blotting analysis;the whole isolation procedure cost 3 h.[Conclusion]This method can be used as a good reference for researcher and will offer a better value with a wide range of applications. 展开更多
关键词 One step method Biozol RNA DNA PROTEIN
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An improvement to the simulation of phase-change heat-transfer during soil freezing and thawing 被引量:6
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作者 YANG Tao ZHENG Mao-yu 《Mining Science and Technology》 EI CAS 2009年第2期262-268,共7页
A new variable time step method,which is called the backwards calculating time step method,is presented in this paper.It allows numerical simulation of soil freezing and thawing while avoiding "phase change missi... A new variable time step method,which is called the backwards calculating time step method,is presented in this paper.It allows numerical simulation of soil freezing and thawing while avoiding "phase change missing and overflowing".A sensitive heat capacity model is introduced through which the calculation errors are analyzed.Then the equation using the self-adjusted time step is presented and solved using finite differences.Through this equation,the time needed for a space cell to reach the phase change point temperature is calculated.Using this time allows the time step to be adjusted so that errors caused by "phase change missing and overflowing" are successfully eliminated.Above all,the obvious features of this method are an accelerated rate for adjusting the time step and simplifing the computations.An actual example proves that this method can accurately calculate the temperature fields during soil freezing and thawing.It is an improvement over traditional methods and can be widely used on complicated multi-dimensional phase change problems. 展开更多
关键词 backwards calculating time step method phase change missing phase change overflowing
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NUMERICAL ANALYSIS AND EXPERI-MENT OF UNSTEADY THERMAL FIELD OF ROTOR PLATE FOR EDDY CURRENT RETARDER 被引量:10
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作者 LIU Chengye HE Ren 《Chinese Journal of Mechanical Engineering》 SCIE EI CAS CSCD 2008年第4期71-75,共5页
The physical model based on heat transfer theory and virtual boundary method for analyzing unsteady thermal field of rotor plate for eddy current retarder used in automobile is established and boundary conditions are ... The physical model based on heat transfer theory and virtual boundary method for analyzing unsteady thermal field of rotor plate for eddy current retarder used in automobile is established and boundary conditions are also defined. The finite element governing equation is derived by Galerkin method. The time differential item is discrete based on Galerkin format that is stable at any condition. And a new style of varying time step method is used in iteration process. The thermal field on the rotor plate at the radial and axle directions is analyzed and varying temperature at appointed points on two side-surfaces is measured. The testing and analytical data are uniform approximately. Finite element method can be used for estimating thermal field of the rotor plate at initial design stage of eddy current retarder. 展开更多
关键词 Eddy current retarder Thermal field Numerical analysis Varying time step method
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Excited response of granular ores in vibrating field 被引量:1
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作者 LI Jian hua 1,2 , SUN Ye zhi 1, WU Ai xiang 1, CHEN Shou ru 1 (1.College of Resources, Environment and Civil Engineering, Central South University, Changsha 410083, China 2.The 5th Building Company in Guangdong Province, Shaoguan 512026, C 《Journal of Central South University of Technology》 2001年第2期120-124,共5页
The dynamical theory was utilized to probe into the law of the excited response of granular ores generated by the exciting action of exciter and the influence of wave propagation in vibrating field. The exciter with d... The dynamical theory was utilized to probe into the law of the excited response of granular ores generated by the exciting action of exciter and the influence of wave propagation in vibrating field. The exciter with double axes was presented as an example, and the principle of exciter and its mathematical expression of the excitation force were given. The granular ores have viscidity and damping speciality, on the basis of which the motion equation of excited response of ores was established and the approximate expression of mode displacement by harmonic excitation and the steady effect solution of coordinate response were deduced. Utilizing the step by step integration method, the recursion relation matrix of displacement, velocity and acceleration of the excited response of ores were obtained, and the computational flow chart and a computational example were given. The results show that the excited response can change the dynamical character and the flowing characteristic of granular ores. 展开更多
关键词 excitation system excited response granular ore step by step integration method
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On Improving the Written English Level of Middle School Students
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作者 黄侠 《宿州教育学院学报》 2003年第3期80-83,共4页
This paper is an attempt to improve the studen the written English level. There are three parts in this passage. Part one: Analyze the types of mistakes. Part two is "six - step" method in written English. P... This paper is an attempt to improve the studen the written English level. There are three parts in this passage. Part one: Analyze the types of mistakes. Part two is "six - step" method in written English. Part three is conclusion. 展开更多
关键词 mistakes "six - step" method conclusion
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The Modified Upwind Finite Difference Fractional Steps Method for Compressible Two-phase Displacement Problem
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作者 Yi-rangYuan 《Acta Mathematicae Applicatae Sinica》 SCIE CSCD 2004年第3期381-396,共16页
For compressible two-phase displacement problem,the modified upwind finite difference fractionalsteps schemes are put forward.Some techniques,such as calculus of variations,commutative law of multiplicationof differen... For compressible two-phase displacement problem,the modified upwind finite difference fractionalsteps schemes are put forward.Some techniques,such as calculus of variations,commutative law of multiplicationof difference operators,decomposition of high order difference operators,the theory of prior estimates and tech-niques are used.Optimal order estimates in L^2 norm are derived for the error in the approximate solution.Thismethod has already been applied to the numerical simulation of seawater intrusion and migration-accumulationof oil resources. 展开更多
关键词 Two-phase displacement two-dimensional compressibility modified upwind finite difference fractional steps method convergence
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THE UPWIND FINITE DIFFERENCE FRACTIONAL STEPS METHOD FOR NONLINEAR COUPLED SYSTEM OF DYNAMICS OF FLUIDS IN POROUS MEDIA
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作者 Yirang YUAN 《Journal of Systems Science & Complexity》 SCIE EI CSCD 2006年第4期498-516,共19页
For nonlinear coupled system of multilayer dynamics of fluids in porous media, the second order and first order upwind finite difference fractional steps schemes applicable to parallel arithmetic are put forward, trod... For nonlinear coupled system of multilayer dynamics of fluids in porous media, the second order and first order upwind finite difference fractional steps schemes applicable to parallel arithmetic are put forward, trod two-dimensional and three-dimensional schemes are used to form a complete set. Some techniques, such as calculus of variations, multiplicative commutation rule of difference operators, decomposition of high order difference operators and prior estimates, are adopted. Optimal order estimates in L2 norm are derived to determine the error in the second order approximate solution. This method has already been applied to the numerical simulation of migration-accumulation of oil resources. 展开更多
关键词 Convergence coupled system multilayer dynamics of fluids in porous media nonlinear equations upwind finite difference fractional steps method.
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Modeling of seasonal soil cold storage using natural cold energy
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作者 杨涛 郑茂余 +1 位作者 王潇 孔凡红 《Journal of Harbin Institute of Technology(New Series)》 EI CAS 2010年第4期491-496,共6页
To reduce energy consumption on summer air conditioning,a novel seasonal soil cold storage mode using natural energy is presented and two-dimensional transient heat transfer model of U-tube is developed. The three pro... To reduce energy consumption on summer air conditioning,a novel seasonal soil cold storage mode using natural energy is presented and two-dimensional transient heat transfer model of U-tube is developed. The three processes of cold storage in winter,shut-down in transition season and cold extraction in summer are simulated by using sensitive heat capacity method with variable time step. The changing of U-tube outlet water temperature in different periods,daily cold storage and cold extraction are estimated. The temperature field of the U-tube and soil around the tube is investigated. Simulations show that seasonal soil cold storage using natural cold energy is feasible in the north to Changchun,which provides theoretical support for seasonal soil cold storage application. 展开更多
关键词 soil cold storage soil cold extraction variable time step method
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Combinations of nonstandard finite difference schemes and composition methods with complex time steps for population models
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作者 Cuicui Liao Xiaohua Ding Jiuzhen Liang 《International Journal of Biomathematics》 2016年第4期1-14,共14页
We propose an efficient numerical method for two population models, based on the nonstandard finite difference (NSFD) schemes and composition methods with complex time steps. The NSFD scheme is able to give positive... We propose an efficient numerical method for two population models, based on the nonstandard finite difference (NSFD) schemes and composition methods with complex time steps. The NSFD scheme is able to give positive numerical solutions that satisfy the conservation law, which is a key property for biological population models. The accuracy is improved by using the composition methods with complex time steps. Numerical tests on the plankton nutrient model and whooping cough model are presented to show the efficiency and advantage of the proposed numerical method. 展开更多
关键词 Nonstandard finite difference schemes composition methods with complextime steps population models positive numerical solutions conservation laws.
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Fast flow simulation study of pulsating ventilation performance on air contaminant removal
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作者 Pengzhi Zhou Haidong Wang +1 位作者 Yuwei Dai Chen Huang 《Building Simulation》 SCIE EI CSCD 2024年第8期1309-1322,共14页
Fast flow simulation is imperative in the design of pulsating ventilation,which is potentially efficient in indoor air contaminant removal.The execution of the conventional CFD method requires considerable amount of c... Fast flow simulation is imperative in the design of pulsating ventilation,which is potentially efficient in indoor air contaminant removal.The execution of the conventional CFD method requires considerable amount of computational resources.In this study,five different numerical schemes were proposed based on fast fluid dynamics(FFD)and fractional step(FS)methods,and were evaluated to achieve quick simulation of airflow/contaminant dispersion.One of these numerical schemes was identified with the best overall computing efficiency for investigating the performance of pulsating ventilation.With this numerical scheme at hand,the air contaminant removal effectiveness of different ventilation types was evaluated.Two kinds of pulsating ventilation and one kind of steady ventilation were tested upon a benchmark isothermal mixing chamber.The effect of adjusting supply velocity parameters on the ventilation performance was also investigated.CO_(2)concentration,airflow pattern,and vortex structure of different ventilation types were illustrated and analyzed.The results reveal that the FS method is more suitable for transient simulation of wall-bounded indoor airflow than the FFD method,and 34%–51%of computing time could be saved compared to the conventional CFD method.Regarding the choice of ventilation type,steady ventilation might result in short-circuit airflow and stagnant zones;alternatively,pulsating ventilation has greater potential in air contaminant removal due to its ever-changing vortex structure. 展开更多
关键词 pulsating ventilation fast fluid dynamics fractional step method contaminant removal efficiency time-periodic supply vortex structure
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ON THE ERROR ESTIMATES OF A NEW OPERATE SPLITTING METHOD FOR THE NAVIER-STOKES EQUATIONS 被引量:1
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作者 Hongen Jia Kaimin Teng Kaitai Li 《Journal of Computational Mathematics》 SCIE CSCD 2014年第1期75-92,共18页
In this paper, a new operator splitting scheme is introduced for the numerical solution of the incompressible Navier-Stokes equations. Under some mild regularity assumptions on the PDE solution, the stability of the s... In this paper, a new operator splitting scheme is introduced for the numerical solution of the incompressible Navier-Stokes equations. Under some mild regularity assumptions on the PDE solution, the stability of the scheme is presented, and error estimates for the velocity and the pressure of the proposed operator splitting scheme are given. 展开更多
关键词 Fractional step methods Navier-Stokes Problem Operator splitting Projection method.
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New Numerical Methods for the Coupled Nonlinear Schrdinger Equations 被引量:1
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作者 Qiu-bin Xu Qian-shun Chang 《Acta Mathematicae Applicatae Sinica》 SCIE CSCD 2010年第2期205-218,共14页
In this paper, three numerical schemes with high accuracy for the coupled Schrodinger equations are studied. The conserwtive properties of the schemes are obtained and the plane wave solution is analysised. The split ... In this paper, three numerical schemes with high accuracy for the coupled Schrodinger equations are studied. The conserwtive properties of the schemes are obtained and the plane wave solution is analysised. The split step Runge-Kutta scheme is conditionally stable by linearized analyzed. The split step compact scheme and the split step spectral method are unconditionally stable. The trunction error of the schemes are discussed. The fusion of two solitions colliding with different β is shown in the figures. The numerical experments demonstrate that our algorithms are effective and reliable. 展开更多
关键词 Coupled nonlinear Schrodinger equation(CNLS) split step Runge-Kutta method compact scheme split step spectral method difference scheme
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AN EXPONENTIAL WAVE INTEGRATOR PSEUDOSPECTRAL METHOD FOR THE SYMMETRIC REGULARIZED-LONG-WAVE EQUATION 被引量:2
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作者 Xiaofei Zhao 《Journal of Computational Mathematics》 SCIE CSCD 2016年第1期49-69,共21页
An efficient and accurate exponential wave integrator Fourier pseudospectral (EWI-FP) method is proposed and analyzed for solving the symmetric regularized-long-wave (SRLW) equation, which is used for modeling the... An efficient and accurate exponential wave integrator Fourier pseudospectral (EWI-FP) method is proposed and analyzed for solving the symmetric regularized-long-wave (SRLW) equation, which is used for modeling the weakly nonlinear ion acoustic and space-charge waves. The numerical method here is based on a Gautschi-type exponential wave integrator for temporal approximation and the Fourier pseudospectral method for spatial discretization. The scheme is fully explicit and efficient due to the fast Fourier transform. Numerical analysis of the proposed EWI-FP method is carried out and rigorous error estimates are established without CFL-type condition by means of the mathematical induction. The error bound shows that EWI-FP has second order accuracy in time and spectral accuracy in space. Numerical results are reported to confirm the theoretical studies and indicate that the error bound here is optimal. 展开更多
关键词 Symmetric regularized long-wave equation Exponential wave integrator Pseudospecral method Error estimate Explicit scheme Large step size
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