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A novel overset grid strategy and high-order inter-grid boundaries treatment with the cell-centered finite difference method 认领 引用
1
作者 Xuejun DING Fei LIAO +1 位作者 Yao JIN Jinsheng CAI 《Chinese Journal of Aeronautics》 SCIE EI CAS CSCD 2026年第3期256-281,共26页
This paper presents an efficient and automated Overset Grid Assembly(OGA)method for the structured grid,and investigates high-order interpolation methods for inter-grid boundaries with the cell-centered finite differe... This paper presents an efficient and automated Overset Grid Assembly(OGA)method for the structured grid,and investigates high-order interpolation methods for inter-grid boundaries with the cell-centered finite difference method.Four enhancements are introduced:a hybrid holecutting approach integrates the efficiency of approximate hole-cutting and the accuracy and robustness of direct-cutting,effectively addressing challenges such as small gaps and thin cuts;an improved implicit hole boundary optimization method,incorporating quality comparison,can significantly reduce donor search workloads;an improved implicit interpolation cell cancellation algorithm minimizes overlap regions,particularly beneficial for high-order interpolation with large stencils;an algorithm for identifying and eliminating islands without using wall distances,effectively removes islands.The OGA results of a multi-element airfoil,a circular array of cylinders,multiple spheres,and a wing-pylon-store configuration indicate that the proposed method would be a suitable selection for multi-body problems,even in the presence of small gaps and thin geometries.Additionally,for high-order interpolation at inter-grid boundaries,this study presents an optimized interpolation method designed to minimize spectral property errors.Numerical results indicate that for periodic problems frequently crossing inter-grid boundaries,the optimized interpolation is more accurate than classical Lagrange interpolation and would be a suitable selection. 展开更多
关键词 Cell-centered finite difference method High-order Optimized interpolation Overset grid method
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A New Finite Difference Method for Strong Detonation Waves and Chapman-Jouguet Detonation Waves 认领 引用
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作者 Chun-long YANG Xiao-zhou YANG 《Acta Mathematicae Applicatae Sinica》 SCIE CSCD 2026年第3期718-733,共16页
We set up a finite difference method for a scalar combustion model problem.An upwind scheme with flux perturbation at detonation wave discontinuity and a projection method are applied.Under a Courant-Friedrichs-Lewy c... We set up a finite difference method for a scalar combustion model problem.An upwind scheme with flux perturbation at detonation wave discontinuity and a projection method are applied.Under a Courant-Friedrichs-Lewy condition the maximum norm estimates are given.Then convergence to weak solution is proved.For the Riemann problem,convergence to strong detonation wave or to Chapman-Jouguet detonation wave is also proved.Numerical experiments are presented. 展开更多
关键词 combustion detonation deflagration finite difference method convergence
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Frequency and vibration responses of a magneto-rheological sandwich micro-beam based on modified couple stress theory and finite difference method 认领 引用
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作者 M.JAFARI M.MOHAMMADIMEHR 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI CSCD 2026年第7期1581-1602,共22页
In this study,the frequency and vibration responses of a sandwich micro-beam are derived based on the modified couple stress theory(MCST).The face sheets are made of pure aluminum,and a magneto-rheological(MR)core is ... In this study,the frequency and vibration responses of a sandwich micro-beam are derived based on the modified couple stress theory(MCST).The face sheets are made of pure aluminum,and a magneto-rheological(MR)core is used to control vibrations.The displacement fields are assumed based on the classical beam theory(CBT)and modified classical beam theories.Based on Hamilton's principle,the governing equations of motion are obtained.To solve these temporal equations,the finite difference method(FDM)with an optimal number of nodes is applied.The effects of various parameters,including viscoelastic properties,magnetic fields,aspect ratio,core-to-face-sheet thickness ratio,MR materials,face sheets,and material length-scale parameters,on the frequency and vibrational response are investigated.In the literature,the effects of different parameters on the frequency response function(FRF)or vibration response are considered.The results obtained from the vibration response and FRF using the FDM show that the viscoelastic property of the MR core causes settling time in the vibration response and a decrease in the excitation frequency of the FRF.Increasing the magnetic field has a negligible effect on the excitation frequency in the FRF,but it increases the vibration response and settling time.The piezoelectric face sheets raise the FRF and suppress the vibration response of the MR sandwich micro-beam compared with the aluminum counterpart. 展开更多
关键词 frequency and vibration responses sandwich micro-beam magnetorheological(MR)core modified couple stress theory(MCST) finite difference method(FDM)
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A Lagrangian Generalized Finite Difference Method for the Bubble Flow with Large Density Difference Considering the Continuous Surface Force Model 认领 引用
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作者 Zhongjian Ling Yongou Zhang +1 位作者 Yifan Li Xianzhong Wang 《Computer Modeling in Engineering & Sciences》 SCIE EI 2026年第7期325-352,共28页
Due to the complex and dynamic nature of multi-phase interfaces,accurately capturing interface evolution remains one of the key challenges in multi-phase flow simulations,particularly in modeling bubble rising.In this... Due to the complex and dynamic nature of multi-phase interfaces,accurately capturing interface evolution remains one of the key challenges in multi-phase flow simulations,particularly in modeling bubble rising.In this study,a fully Lagrangian method is developed by using the Generalized Finite Difference(GFD)scheme,which we refer to as Finite Difference Particle Method(FDPM),and the Continuum Surface Force(CSF)model to simulate bubble dynamics.In this framework,the fluid is represented by particles,and all partial differential terms in the Navier–Stokes equations are discretized into symmetric linear systems using the GFD scheme.Notably,the interface curvature required by the CSF model is computed directly via the Laplacian of the color function,rather than through the divergence of the unit normal vector.The bubble relaxation cases with various density ratios(up to 1000)are tested,revealing that the pressure distributions inside and outside the bubbles generally agree with theoretical predictions.Finally,simulations of rising bubbles with a high density ratio(1:1000)and Reynolds number of 25 demonstrate that the time evolution of the bubble’s center of mass by FDPM is consistent with results obtained by the Smoothed Particle Hydrodynamics(SPH)and the Finite Element Method(FEM)approaches. 展开更多
关键词 Lagrangian meshfree method finite difference particle method rising bubble continuous surface force model
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Effect of joint coalescence coefficient on rock bridge formation of slope based on finite difference method 认领 引用
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作者 Su LI Yi TANG Hang LIN 《Transactions of Nonferrous Metals Society of China》 SCIE EI CAS CSCD 2025年第10期3455-3467,共13页
A method combining finite difference method(FDM)and k-means clustering algorithm which can determine the threshold of rock bridge generation is proposed.Jointed slope models with different joint coalescence coefficien... A method combining finite difference method(FDM)and k-means clustering algorithm which can determine the threshold of rock bridge generation is proposed.Jointed slope models with different joint coalescence coefficients(k)are constructed based on FDM.The rock bridge area was divided through k-means algorithm and the optimal number of clusters was determined by sum of squared errors(SSE)and elbow method.The influence of maximum principal stress and stress change rate as clustering indexes on the clustering results of rock bridges was compared by using Euclidean distance.The results show that using stress change rate as clustering index is more effective.When the joint coalescence coefficient is less than 0.6,there is no significant stress concentration in the middle area of adjacent joints,that is,no generation of rock bridge.In addition,the range of rock bridge is affected by the coalescence coefficient(k),the relative position of joints and the parameters of weak interlayer. 展开更多
关键词 slope rock bridge finite difference method k-means algorithm
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Unravelling Temperature Profile through Bifacial PV Modules via Finite Difference Method:Effects of Heat Internal Generation Due to Spectral Absorption 认领 引用
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作者 Khadija Ibaararen Mhammed Zaimi +1 位作者 Khadija El Ainaoui El Mahdi Assaid 《Energy Engineering》 EI 2025年第9期3487-3505,共19页
This study investigates the complex heat transfer dynamics inmultilayer bifacial photovoltaic(bPV)solar modules under spectrally resolved solar irradiation.A novel numericalmodel is developed to incorporate internal h... This study investigates the complex heat transfer dynamics inmultilayer bifacial photovoltaic(bPV)solar modules under spectrally resolved solar irradiation.A novel numericalmodel is developed to incorporate internal heat generation resulting from optical absorption,grounded in the physical equations governing light-matter interactions within the module’smultilayer structure.The model accounts for reflection and transmission at each interface between adjacent layers,as well as absorption within individual layers,using the wavelength-dependent dielectric properties of constituent materials.These properties are used to calculate the spectral reflectance,transmittance,and absorption coefficients,enabling precise quantification of internal heat sources from irradiance incidents on both the front and rear surfaces of the module.The study further examines the influence of irradiance reflection on thermal behavior,evaluates the thermal impact of various supporting materials placed beneath the module,and analyzes the role of albedo in modifying heat distribution.By incorporating spectrally resolved heat generation across each layer often simplified or omitted in conventional models,the proposed approach enhances physical accuracy.The transient heat equation is solved using a one-dimensional finite difference(FD)method to produce detailed temperature profiles under multiple operating scenarios,including Standard Test Conditions(STC),Bifacial Standard Test Conditions(BSTC),Normal Operating Cell Temperature(NOCT),and Bifacial NOCT(BNOCT).The results offer valuable insights into the interplay between optical and thermal phenomena in bifacial systems,informing the design and optimization of more efficient photovoltaic technologies. 展开更多
关键词 Bifacial photovoltaic(bPV) solarmodule heat transfer optical absorption temperature profile albedo finite difference method
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ASYMPTOTICS OF LARGE DEVIATIONS OF FINITE DIFFERENCE METHOD FOR STOCHASTIC CAHN-HILLIARD EQUATION 认领 引用
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作者 Diancong JIN Derui SHENG 《Acta Mathematica Scientia》 SCIE CSCD 2025年第3期1078-1106,共29页
In this work, we first derive the one-point large deviations principle (LDP) for both the stochastic Cahn–Hilliard equation with small noise and its spatial finite difference method (FDM). Then, we focus on giving th... In this work, we first derive the one-point large deviations principle (LDP) for both the stochastic Cahn–Hilliard equation with small noise and its spatial finite difference method (FDM). Then, we focus on giving the convergence of the one-point large deviations rate function (LDRF) of the spatial FDM, which is about the asymptotical limit of a parametric variational problem. The main idea for proving the convergence of the LDRF of the spatial FDM is via the Γ-convergence of objective functions. This relies on the qualitative analysis of skeleton equations of the original equation and the numerical method. In order to overcome the difficulty that the drift coefficient is not one-sided Lipschitz continuous, we derive the equivalent characterization of the skeleton equation of the spatial FDM and the discrete interpolation inequality to obtain the uniform boundedness of the solution to the underlying skeleton equation. These play important roles in deriving the T-convergence of objective functions. 展开更多
关键词 large deviations rate function finite difference method convergence analysis F-convergence stochastic Cahn-Hilliard equation
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A Fast Algorithm for Solving the Poisson Equations Based on the Discrete Cosine/Sine Transforms in the Finite Difference Method 认领 引用
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作者 LI Congcong WANG Danxia +1 位作者 JIA Hongen ZHANG Chenhui 《应用数学》 北大核心 2025年第3期651-669,共19页
To enhance the computational efficiency of spatio-temporally discretized phase-field models,we present a high-speed solver specifically designed for the Poisson equations,a component frequently used in the numerical c... To enhance the computational efficiency of spatio-temporally discretized phase-field models,we present a high-speed solver specifically designed for the Poisson equations,a component frequently used in the numerical computation of such models.This efficient solver employs algorithms based on discrete cosine transformations(DCT)or discrete sine transformations(DST)and is not restricted by any spatio-temporal schemes.Our proposed methodology is appropriate for a variety of phase-field models and is especially efficient when combined with flow field systems.Meanwhile,this study has conducted an extensive numerical comparison and found that employing DCT and DST techniques not only yields results comparable to those obtained via the Multigrid(MG)method,a conventional approach used in the resolution of the Poisson equations,but also enhances computational efficiency by over 90%. 展开更多
关键词 Phase-field model Finite difference method Fast Poisson solver(DC-T/DST) Explicit invariant energy quadratization Unconditional energy stability
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Finite difference method for dynamic response analysis of anchorage system 认领 引用 被引量：7
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作者 言志信 段建 +3 位作者 江平 刘子振 赵红亮 黄文贵 《Journal of Central South University》 SCIE EI CAS 2014年第3期1098-1106,共9页
Based on some assumptions, the dynamic analysis model of anchorage system is established. The dynamic governing equation is expressed as finite difference format and programmed by using MATLAB language. Compared with ... Based on some assumptions, the dynamic analysis model of anchorage system is established. The dynamic governing equation is expressed as finite difference format and programmed by using MATLAB language. Compared with theoretical method, the finite difference method has been verified to be feasible by a case study. It is found that under seismic loading, the dynamic response of anchorage system is synchronously fluctuated with the seismic vibration. The change of displacement amplitude of material points is slight, and comparatively speaking, the displacement amplitude of the outside point is a little larger than that of the inside point, which shows amplification effect of surface. While the axial force amplitude transforms considerably from the inside to the outside. It increases first and reaches the peak value in the intersection between the anchoring section and free section, then decreases slowly in the free section. When considering damping effect of anchorage system, the finite difference method can reflect the time attenuation characteristic better, and the calculating result would be safer and more reasonable than the dynamic steady-state theoretical method. What is more, the finite difference method can be applied to the dynamic response analysis of harmonic and seismic random vibration for all kinds of anchor, and hence has a broad application prospect. 展开更多
关键词 anchorage system dynamic response finite difference method attenuation characteristic
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A fast explicit finite difference method for determination of wellhead injection pressure 认领 引用 被引量：6
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作者 白冰 李小春 +2 位作者 刘明泽 石露 李琦 《Journal of Central South University》 SCIE EI CAS 2012年第11期3266-3272,共7页
A fast explicit finite difference method (FEFDM),derived from the differential equations of one-dimensional steady pipe flow,was presented for calculation of wellhead injection pressure.Recalculation with a traditiona... A fast explicit finite difference method (FEFDM),derived from the differential equations of one-dimensional steady pipe flow,was presented for calculation of wellhead injection pressure.Recalculation with a traditional numerical method of the same equations corroborates well the reliability and rate of FEFDM.Moreover,a flow rate estimate method was developed for the project whose injection rate has not been clearly determined.A wellhead pressure regime determined by this method was successfully applied to the trial injection operations in Shihezi formation of Shenhua CCS Project,which is a good practice verification of FEFDM.At last,this method was used to evaluate the effect of friction and acceleration terms on the flow equation on the wellhead pressure.The result shows that for deep wellbore,the friction term can be omitted when flow rate is low and in a wide range of velocity the acceleration term can always be deleted.It is also shown that with flow rate increasing,the friction term can no longer be neglected. 展开更多
关键词 wellhead pressure injection pressure bottom-hole pressure fast explicit finite difference method
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Using finite difference method to simulate casting thermal stress 认领 引用 被引量：7
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作者 Liao Dunming Zhang Bin +2 位作者 Zhou Jianxin Liu Ruixiang Chen Liliang 《China Foundry》 SCIE CAS 2011年第2期177-181,共5页
Thermal stress simulation can provide a scientific reference to eliminate defects such as crack,residual stress centralization and deformation etc.,caused by thermal stress during casting solidification.To study the t... Thermal stress simulation can provide a scientific reference to eliminate defects such as crack,residual stress centralization and deformation etc.,caused by thermal stress during casting solidification.To study the thermal stress distribution during casting process,a unilateral thermal-stress coupling model was employed to simulate 3D casting stress using Finite Difference Method(FDM),namely all the traditional thermal-elastic-plastic equations are numerically and differentially discrete.A FDM/FDM numerical simulation system was developed to analyze temperature and stress fields during casting solidification process.Two practical verifications were carried out,and the results from simulation basically coincided with practical cases.The results indicated that the FDM/FDM stress simulation system can be used to simulate the formation of residual stress,and to predict the occurrence of hot tearing.Because heat transfer and stress analysis are all based on FDM,they can use the same FD model,which can avoid the matching process between different models,and hence reduce temperature-load transferring errors.This approach makes the simulation of fluid flow,heat transfer and stress analysis unify into one single model. 展开更多
关键词 thermal stress numerical simulation finite difference method （FDM） casting solidification process
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Dynamic Analysis of Contact Bounce of Aerospace Relay Based on Finite Difference Method 认领 引用 被引量：8
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作者 熊军 何俊佳 臧春艳 《Chinese Journal of Aeronautics》 SCIE EI CAS 2009年第3期262-267,共6页
Contact bounce of relay, which is the main cause of electric abrasion and material erosion, is inevitable. By using the mode expansion form, the dynamic behavior of two different reed systems for aerospace relays is a... Contact bounce of relay, which is the main cause of electric abrasion and material erosion, is inevitable. By using the mode expansion form, the dynamic behavior of two different reed systems for aerospace relays is analyzed. The dynamic model uses Euler-Bernoulli beam theory for cantilever beam, in which the driving force (or driving moment) of the electromagnetic system is taken into account, and the contact force between moving contact and stationary contact is simulated by the Kelvin-Voigt vis-coelastic... 展开更多
关键词 aerospace relay dynamic analysis finite difference method contact bounce reed system
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An explicit finite element-finite difference method for analyzing the effect of visco-elastic local topography on the earthquake motion 认领 引用 被引量：10
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作者 李小军 廖振鹏 关慧敏 《Acta Seismologica Sinica(English Edition)》 1995年第3期447-456,共10页
An explicit finite element-finite difference method for analyzing the effects of two-dimensional visco-elastic localtopography on earthquake ground motion is prOPosed in this paper. In the method, at first, the finite... An explicit finite element-finite difference method for analyzing the effects of two-dimensional visco-elastic localtopography on earthquake ground motion is prOPosed in this paper. In the method, at first, the finite elementdiscrete model is formed by using the artificial boundary and finite element method, and the dynamic equationsof local nodes in the discrete model are obtained according to the theory of the special finite element method similar to the finite difference method, and then the explicit step-by-step integration formulas are presented by usingthe explicit difference method for solving the visco-elastic dynamic equation and Generalized Multi-transmittingBoundary. The method has the advantages of saving computing time and computer memory space, and it is suitable for any case of topography and has high computing accuracy and good computing stability. 展开更多
关键词 visco-elastic seismic response finite difference method explicit finite element artificial boundary
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Numerical simulation of standing wave with 3D predictor-corrector finite difference method for potential flow equations 认领 引用 被引量：3
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作者 罗志强 陈志敏 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2013年第8期931-944,共14页
A three-dimensional （3D） predictor-corrector finite difference method for standing wave is developed. It is applied to solve the 3D nonlinear potential flow equa- tions with a free surface. The 3D irregular tank is ... A three-dimensional （3D） predictor-corrector finite difference method for standing wave is developed. It is applied to solve the 3D nonlinear potential flow equa- tions with a free surface. The 3D irregular tank is mapped onto a fixed cubic tank through the proper coordinate transform schemes. The cubic tank is distributed by the staggered meshgrid, and the staggered meshgrid is used to denote the variables of the flow field. The predictor-corrector finite difference method is given to develop the difference equa- tions of the dynamic boundary equation and kinematic boundary equation. Experimental results show that, using the finite difference method of the predictor-corrector scheme, the numerical solutions agree well with the published results. The wave profiles of the standing wave with different amplitudes and wave lengths are studied. The numerical solutions are also analyzed and presented graphically. 展开更多
关键词 three-dimensional （3D） nonlinear potential flow equation predictor-corrector finite difference method staggered grid nested iterative method 3D sloshing
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Nonlinear Schrodinger equation with a Dirac delta potential:finite difference method 认领 引用 被引量：1
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作者 Bin Cheng Ya-Ming Chen +2 位作者 Chuan-Fu Xu Da-Li Li Xiao-Gang Deng 《Communications in Theoretical Physics》 SCIE CAS CSCD 2020年第2期3-8,共6页
The nonlinear Schr?dinger equation with a Dirac delta potential is considered in this paper.It is noted that the equation can be transformed into an equation with a drift-admitting jump.Then following the procedure pr... The nonlinear Schr?dinger equation with a Dirac delta potential is considered in this paper.It is noted that the equation can be transformed into an equation with a drift-admitting jump.Then following the procedure proposed in Chen and Deng(2018 Phys.Rev.E 98033302),a new second-order finite difference scheme is developed,which is justified by numerical examples. 展开更多
关键词 nonlinear Schrodinger equation delta potential finite difference method
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Solution precision of concrete temperature fields with finite difference method 认领 引用 被引量：2
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作者 张宇鑫 黄达海 刘海成 《Journal of Shanghai University(English Edition)》 2008年第4期302-305,共4页
With the finite difference method to calculate the temperature distribution in mass concrete structures, the solution precision will increase with a smaller step size, at the cost of computational time. In view of the... With the finite difference method to calculate the temperature distribution in mass concrete structures, the solution precision will increase with a smaller step size, at the cost of computational time. In view of the basic characteristics of the finite difference method, a simple yet powerful improvement is introduced. By multiplying the adiabatic temperature function with a correction factor, the precision of the solution can be assured without an increase in the computation time. In addition, the correction rules for three types of commonly used concrete hydration formulas are investigated. 展开更多
关键词 concrete structure temperature field finite difference method hydration
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Improved finite difference method for pressure distribution of aerostatic bearing 认领 引用 被引量：11
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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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High Accuracy Split-Step Finite Difference Method for Schrdinger-KdV Equations 认领 引用 被引量：1
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作者 Feng Liao Lu-Ming Zhang 《Communications in Theoretical Physics》 SCIE CAS CSCD 2018年第10期413-422,共10页
In this article, two split-step finite difference methods for Schrodinger-KdV equations are formulated and investigated. The main features of our methods are based on:(i) The applications of split-step technique for S... In this article, two split-step finite difference methods for Schrodinger-KdV equations are formulated and investigated. The main features of our methods are based on:(i) The applications of split-step technique for Schrodingerlike equation in time.(ii) The utilizations of high-order finite difference method for KdV-like equation in spatial discretization.(iii) Our methods are of spectral-like accuracy in space and can be realized by fast Fourier transform efficiently. Numerical experiments are conducted to illustrate the efficiency and accuracy of our numerical methods. 展开更多
关键词 split-step method SchrSdinger-KdV equations finite difference method fast Fourier transform
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Sloshing simulation of standing wave with time-independent finite difference method for Euler equations 认领 引用 被引量：1
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作者 罗志强 陈志敏 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2011年第11期1475-1488,共14页
The numerical solutions of standing waves for Euler equations with the nonlinear free surface boundary condition in a two-dimensional （2D） tank are studied. The irregular tank is mapped onto a fixed square domain th... The numerical solutions of standing waves for Euler equations with the nonlinear free surface boundary condition in a two-dimensional （2D） tank are studied. The irregular tank is mapped onto a fixed square domain through proper mapping functions. A staggered mesh system is employed in a 2D tank to calculate the elevation of the transient fluid. A time-independent finite difference method, which is developed by Bang- fuh Chen, is used to solve the Euler equations for incompressible and inviscid fluids. The numerical results agree well with the analytic solutions and previously published results. The sloshing profiles of surge and heave motion with initial standing waves are presented. The results show very clear nonlinear and beating phenomena. 展开更多
关键词 Euler equation finite difference method numerical simulation Crank- Nicolson scheme
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A FINITE DIFFERENCE METHOD AT ARBITRARY MESHES FOR THE BENDING OF PLATES WITH VARIABLE THICKNESS 认领 引用 被引量：1
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作者 李光耀 周汉斌 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 1993年第3期299-304,共6页
A finite difference method at arbitrary meshes for the bending of plates with variable thickness is presented in this paper. The method is completely general with respect to various boundary conditions, load cases and... A finite difference method at arbitrary meshes for the bending of plates with variable thickness is presented in this paper. The method is completely general with respect to various boundary conditions, load cases and shapes of plates. This difference scheme is simple and the numerical results agree well with those obtained by other methods. 展开更多
关键词 plate bending finite difference method
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