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Moving-Particle Semi-Implicit Method for Vortex Patterns and Roll Damping of 2D Ship Sections 认领 引用 被引量：14
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作者 潘徐杰 张怀新 卢云涛 《China Ocean Engineering》 SCIE EI 2008年第3期399-407,共9页
A meshless method, Moving-Particle Semi-hnplicit Method （MPS） is presented in this paper to simulate the rolling of different 2D ship sections. Sections S. S. 0.5, S.S. 5.0 and S. S. 7.0 of series 60 with CB = 0.6 a... A meshless method, Moving-Particle Semi-hnplicit Method （MPS） is presented in this paper to simulate the rolling of different 2D ship sections. Sections S. S. 0.5, S.S. 5.0 and S. S. 7.0 of series 60 with CB = 0.6 are chosen for the simulation. It shows that the result of MPS is very close to results of experiments or mesh-numerical simulations. In the simulation of MPS, vortices are found periodically in bilges of ship sections. In section S. S. 5.0 and section S. S. 7.0, which are close to the middle ship, two little vortices are found at different bilges of the section, in section S. S. 0.5, which is close to the bow, only one big vortex is found at the bottom of the section, these vortices patterns are consistent with the theory of Ikeda. The distribution of shear stress and pressure on the rolling hull of ship section is calculated. When vortices are in bilges of the section, the sign clmnge of pressure can be found, but in section S. S. 0.5, there is no sign change of pressure because only one vortex in the bottom of the section. With shear stress distribution, it can be found the shear stress in bilges is bigger than that at other part of the ship section. As the free surface is considered, the shear stress of both sides near the free surface is close to zero and even sign changed. 展开更多
关键词 roll damping unsteady viscous flow Moving-Panicle Semi-Implicit Method （MPS）
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2-D Numerical Simulation of Natural Gas Hydrate Decomposition Through Depressurization by Fully Implicit Method 认领 引用 被引量：5
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作者 宋永臣 梁海峰 《China Ocean Engineering》 SCIE EI 2009年第3期529-542,共14页
Natural gas hydrate, as a potential energy resource, deposits in permafrost and marine sediment with large quantities. The current exploitation methods include depressurization, thermal stimulation, and inhibitor inje... Natural gas hydrate, as a potential energy resource, deposits in permafrost and marine sediment with large quantities. The current exploitation methods include depressurization, thermal stimulation, and inhibitor injection. However, many issues have to be resolved before the commercial production. In the present study, a 2-D axisymmetric simulator for gas production from hydrate reservoirs is developed. The simulator includes equations of conductive and convective heat transfer, kinetic of hydrate decomposition, and multiphase flow. These equations are discretized based on the finite difference method and are solved with the fully implicit simultaneous solution method. The process of laboratory-scale hydrate decomposition by depressurization is simulated. For different surrounding temperatures and outlet pressures, time evolutions of gas and water generations during hydrate dissociation are evaluated, and variations of temperature, pressure, and multiphase fluid flow conditions are analyzed. The results suggest that the rate of heat transfer plays an important role in the process. Furthermore, high surrounding temperature and low outlet valve pressure may increase the rate of hydrate dissociation with insignificant impact on final cumulative gas volume. 展开更多
关键词 natural gas hydrate depressurization fully implicit simuhaneoas solution method impact parameters analysis
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Explicit concomitance of implicit method to solve vibration equation 认领 引用
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作者 Li, Changqing Jiang, Lizhong 《Earthquake Engineering and Engineering Vibration》 SCIE EI CSCD 2012年第2期269-272,共4页
It has been proven that the implicit method used to solve the vibration equation can be transformed into an explicit method,which is called the concomitant explicit method.The constant acceleration method's concom... It has been proven that the implicit method used to solve the vibration equation can be transformed into an explicit method,which is called the concomitant explicit method.The constant acceleration method's concomitant explicit method was used as an example and is described in detail in this paper.The relationship between the implicit method and explicit method is defined,which provides some guidance about how to create a new explicit method that has high precision and computational efficiency. 展开更多
关键词 dynamic analysis explicit method implicit method structural dynamics
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Large deformation simulations of geomaterials using moving particle semi-implicit method 认领 引用 被引量：1
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作者 Shintaro Nohara Hiroshi Suenaga Kunihiko Nakamura 《Journal of Rock Mechanics and Geotechnical Engineering》 SCIE CSCD 2018年第6期1122-1132,共11页
Numerical simulation tools are required to describe large deformations of geomaterials for evaluating the risk of geo-disasters. This study focused on moving particle semi-implicit(MPS) method, which is a Lagrangian g... Numerical simulation tools are required to describe large deformations of geomaterials for evaluating the risk of geo-disasters. This study focused on moving particle semi-implicit(MPS) method, which is a Lagrangian gridless particle method, and investigated its performance and stability to simulate large deformation of geomaterials. A calculation method was developed using geomaterials modeled as Bingham fluids to improve the original MPS method and enhance its stability. Two numerical tests showed that results from the improved MPS method was in good agreement with the theoretical value.Furthermore, numerical simulations were calibrated by laboratory experiments. It showed that the simulation results matched well with the experimentally observed free-surface configurations for flowing sand. In addition, the model could generally predict the time-history of the impact force. The MPS method could be a useful tool to evaluate large deformation of geomaterials. 展开更多
关键词 Particle method Moving particle semi-implicit(MPS) method Large deformation analysis Geomaterials Bingham model
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Implicit unified gas kinetic particle method for steady-state solution of multiscale phonon transport 认领 引用 被引量：2
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作者 Hongyu Liu Xiaojian Yang +2 位作者 Chuang Zhang Xing Ji Kun Xu 《Acta Mechanica Sinica》 SCIE EI CAS CSCD 2026年第2期496-510,共15页
This paper presents a highly efficient implicit unified gas-kinetic particle(IUGKP)method for obtaining steady-state solutions of multi-scale phonon transport.The method adapts and reinterprets the integral solution o... This paper presents a highly efficient implicit unified gas-kinetic particle(IUGKP)method for obtaining steady-state solutions of multi-scale phonon transport.The method adapts and reinterprets the integral solution of the Bhatnagar-Gross-Krook(BGK)equation for time-independent solutions.The distribution function at a given point is determined solely by the surrounding equilibrium states,where the corresponding macroscopic quantities are computed through a weighted sum of equilibrium distribution functions from neighboring spatial positions.From a particle perspective,changes in macroscopic quantities within a cell result from particle transport across cell interfaces.These particles are sampled according to the equilibrium state of their original cells,accounting for their mean free path as the traveling distance.The IUGKP method evolves the solution according to the physical relaxation time scale,achieving high efficiency in large Knudsen number regimes.To accelerate convergence for small Knudsen numbers,an inexact Newton iteration method is implemented,incorporating macroscopic equations for convergence acceleration in the near-diffusive limit.The method also addresses spatial-temporal inconsistency caused by relaxation time variations in physical space through the null-collision concept.Numerical tests demonstrate the method’s excellent performance in accelerating multi-scale phonon transport solutions,achieving speedups of one to two orders of magnitude.The IUGKP method proves to be an efficient and accurate computational tool for simulating multiscale non-equilibrium heat transfer,offering significant advantages over traditional methods in both numerical performance and physical applicability. 展开更多
关键词 Implicit gas kinetic particle method Phonon Boltzmann transport equation Multi-scale heat conduction Steady-state
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Effectiveness of Implicit Methods for Stiff Stochastic Differential Equations 认领 引用 被引量：3
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作者 Tiejun Li Assyr Abdulle Weinan E 《Communications in Computational Physics》 SCIE 2008年第2期295-307,共13页
In this paper we study the behavior of a family of implicit numerical methods applied to stochastic differential equations with multiple time scales.We show by a combination of analytical arguments and numerical examp... In this paper we study the behavior of a family of implicit numerical methods applied to stochastic differential equations with multiple time scales.We show by a combination of analytical arguments and numerical examples that implicit methods in general fail to capture the effective dynamics at the slow time scale.This is due to the fact that such implicit methods cannot correctly capture non-Dirac invariant distributions when the time step size is much larger than the relaxation time of the system. 展开更多
关键词 Implicit methods stiff ODE stiff SDE invariant distribution multiscale.
A new simple method of implicit time integration for dynamic problems of engineering structures 认领 引用 被引量：1
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作者 Jun Zhou Youhe Zhou 《Acta Mechanica Sinica》 SCIE EI CAS 2007年第1期91-99,共9页
This paper presents a new simple method of implicit time integration with two control parameters for solving initial-value problems of dynamics such that its accuracy is at least of order two along with the conditiona... This paper presents a new simple method of implicit time integration with two control parameters for solving initial-value problems of dynamics such that its accuracy is at least of order two along with the conditional and unconditional stability regions of the parameters. When the control parameters in the method are optimally taken in their regions, the accuracy may be improved to reach of order three. It is found that the new scheme can achieve lower numerical amplitude dissipation and period dispersion than some of the existing methods, e.g. the Newmark method and Zhai＇s approach, when the same time step size is used. The region of time step dependent on the parameters in the new scheme is explicitly obtained. Finally, some examples of dynamic problems are given to show the accuracy and efficiency of the proposed scheme applied in dynamic systems. 展开更多
关键词 Initial-value problems Time integration Implicit method Higher accuracy Time step and stability
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IMPLICIT ITERATIVE METHODS WITH VARIABLE CONTROL PARAMETERS FOR ILL-POSED OPERATOR EQUATIONS 认领 引用 被引量：3
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作者 贺国强 王新革 刘林先 《Acta Mathematica Scientia》 SCIE 2000年第4期485-494,共10页
This paper discusses a kind of implicit iterative methods with some variable parameters, which are called control parameters, for solving ill-posed operator equations. The theoretical results show that the new methods... This paper discusses a kind of implicit iterative methods with some variable parameters, which are called control parameters, for solving ill-posed operator equations. The theoretical results show that the new methods always lead to optimal convergence rates and have some other important features, especially the methods can be implemented parallelly. 展开更多
关键词 III-posed problems implicit iterative methods variable control parameters parallel algorith?
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Analysis of large deformation geotechnical problems using implicit generalized interpolation material point method 认领 引用 被引量：4
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作者 Wei-hai YUAN Hao-cheng WANG +3 位作者 Kang LIU Wei ZHANG Ding WANG Yuan WANG 《Journal of Zhejiang University-SCIENCE A》 SCIE EI CAS CSCD 2021年第11期909-923,共15页
This paper presents a quasi-static implicit generalized interpolation material point method(i GIMP)with B-bar approach for large deformation geotechnical problems.The i GIMP algorithm is an extension of the implicit m... This paper presents a quasi-static implicit generalized interpolation material point method(i GIMP)with B-bar approach for large deformation geotechnical problems.The i GIMP algorithm is an extension of the implicit material point method(iMPM).The global stiffness matrix is formed explicitly and the Newton-Raphson iterative method is used to solve the equilibrium equations.Where possible,the implementation procedure closely follows standard finite element method(FEM)approaches to allow easy conversion of other FEM codes.The generalized interpolation function is assigned to eliminate the inherent cell crossing noise within conventional MPM.For the first time,the B-bar approach is used to overcome volumetric locking in standard GIMP method for near-incompressible non-linear geomechanics.The proposed i GIMP was tested and compared with i MPM and analytical solutions via a 1 D column compression problem.Results highlighted the superiority of the i GIMP approach in reducing stress oscillations,thereby improving computational accuracy.Then,elasto-plastic slope stabilities and rigid footing problems were considered,further illustrating the ability of the proposed method to overcome volumetric locking due to incompressibility.Results showed that the proposed i GIMP with B-bar approach can be used to simulate geotechnical problems with large deformations. 展开更多
关键词 Material point method(MPM) Large deformation Implicit generalized interpolation material point method(iGIMP) Volumetric locking B-bar method
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THE IMPLICIT METHOD OF STREAMLINE ITERATION FOR COMPUTING TWO-DIMENSIONAL VISCOUS INCOMPRESSIBLE FLOW 认领 引用
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作者 Jiang Jin-liang, Shanghai Institute of Electric Power, Shanghai 200090, P.R.China 《Journal of Hydrodynamics》 SCIE EI 1991年第2期88-93,共6页
This paper presents the implicit method of streamline iteration on the bases of the method of streamline itera- tion for computing two-dimensional viscous incompressible steady flow in a channel with arbitrary shape. ... This paper presents the implicit method of streamline iteration on the bases of the method of streamline itera- tion for computing two-dimensional viscous incompressible steady flow in a channel with arbitrary shape. A new total pressure equation of viscous incompressible flow is introduced in this paper and the equation is numerically computed by the implicit method. It is shown from the computational results of examples that the implicit method of streamline iteration can speed up the convergence and decrease the computational time. 展开更多
关键词 Flow line THE IMPLICIT METHOD OF STREAMLINE ITERATION FOR COMPUTING TWO-DIMENSIONAL VISCOUS INCOMPRESSIBLE FLOW
Compact implicit integration factor methods for some complex-valued nonlinear equations 认领 引用 被引量：1
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作者 张荣培 《Chinese Physics B》 SCIE EI CAS CSCD 2012年第4期49-53,共5页
The compact implicit integration factor （cIIF） method is an efficient time discretization scheme for stiff nonlinear diffusion equations in two and three spatial dimensions. In the current work, we apply the cIIF me... The compact implicit integration factor （cIIF） method is an efficient time discretization scheme for stiff nonlinear diffusion equations in two and three spatial dimensions. In the current work, we apply the cIIF method to some complex-valued nonlinear evolutionary equations such as the nonlinear SchrSdinger （NLS） equation and the complex Ginzburg-Landau （GL） equation. Detailed algorithm formulation and practical implementation of cIIF method are performed. The numerical results indicate that this method is very accurate and efficient. 展开更多
关键词 compact implicit integration factor method finite difference nonlinear Schrodinger equa-tion complex Ginzburg Landau equation
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Nonlinear implicit iterative method for solving nonlinear ill-posed problems 认领 引用
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作者 柳建军 贺国强 康传刚 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2009年第9期1183-1192,共10页
In the paper, we extend the implicit iterative method for linear ill-posed operator equations to solve nonlinear ill-posed problems. We show that under some conditions the error sequence of solutions of the nonlinear ... In the paper, we extend the implicit iterative method for linear ill-posed operator equations to solve nonlinear ill-posed problems. We show that under some conditions the error sequence of solutions of the nonlinear implicit iterative method is monotonically decreasing and, with this monotonicity, prove convergence of the new method for both the exact and perturbed equations. 展开更多
关键词 nonlinear ill-posed problem nonlinear implicit iterative method monotonicity convergence
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CHARACTERISTIC GALERKIN METHOD FOR CONVECTION-DIFFUSION EQUATIONS AND IMPLICIT ALGORITHM USING PRECISE INTEGRATION 认领 引用 被引量：3
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作者 李锡夔 武文华 《Acta Mechanica Sinica》 SCIE EI CAS 1999年第4期371-382,共12页
This paper presents a finite element procedure for solving transient, multidimensional convection-diffusion equations. The procedure is based on the characteristic Galerkin method with an implicit algorithm using prec... This paper presents a finite element procedure for solving transient, multidimensional convection-diffusion equations. The procedure is based on the characteristic Galerkin method with an implicit algorithm using precise integration method. With the operator splitting procedure, the precise integration method is introduced to determine the material derivative in the convection-diffusion equation, consequently, the physical quantities of material points. An implicit algorithm with a combination of both the precise and the traditional numerical integration procedures in time domain in the Lagrange coordinates for the characteristic Galerkin method is formulated. The stability analysis of the algorithm shows that the unconditional stability of present implicit algorithm is enhanced as compared with that of the traditional implicit numerical integration procedure. The numerical results validate the presented method in solving convection-diffusion equations. As compared with SUPG method and explicit characteristic Galerkin method, the present method gives the results with higher accuracy and better stability. 展开更多
关键词 convection-diffusion equation characteristic Galerkin method finite element procedure precise integration implicit algorithm
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Implicit Iterative Method for Ill-Posed Equations with Perturbed Operators and Data 认领 引用
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作者 HE Guo qiang College of Sciences, Shanghai University, Shanghai 200436, China 《Advances in Manufacturing》 EI CAS 2000年第2期96-100,共5页
In this paper, the author applied an implicit iterative method to solve linear ill posed equations with both perturbed operators and perturbed data. After having carefully estimated some terms involved, a satisfactory... In this paper, the author applied an implicit iterative method to solve linear ill posed equations with both perturbed operators and perturbed data. After having carefully estimated some terms involved, a satisfactory order of convergence rate was derived. 展开更多
关键词 ill posed equations implicit iterative method convergence rates
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Implicit 2-Step Hybrid Methods and Their Stability Analysis 认领 引用
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作者 Xu Xuhai & Xin GuyuDept. of Math., Wuhan Univ., Wuhan, 430072, P. R. China 《Journal of Systems Engineering and Electronics》 EI 1994年第4期19-25,共7页
In this paper two implicit 2-step hybrid methods are proposed! one has order five, the other six. The stability properties of the methods are analysed. The 5th order method is proved to be A-stable and the 6th order o... In this paper two implicit 2-step hybrid methods are proposed! one has order five, the other six. The stability properties of the methods are analysed. The 5th order method is proved to be A-stable and the 6th order one is not, but still has a relatively large region of absolute stability. The implementation of the 5th order method is also discussed. 展开更多
关键词 Stiff system A-stability Implicit hybrid method.
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Numerical Simulation of Sloshing with Large Deforming Free Surface by MPS-LES Method 认领 引用 被引量：4
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作者 潘徐杰 张怀新 孙学尧 《China Ocean Engineering》 SCIE EI 2012年第4期653-668,共16页
Moving particle semi-implicit （MPS） method is a fully Lagrangian particle method which can easily solve problems with violent free surface. Although it has demonstrated its advantage in ocean engineering application... Moving particle semi-implicit （MPS） method is a fully Lagrangian particle method which can easily solve problems with violent free surface. Although it has demonstrated its advantage in ocean engineering applications, it still has some defects to be improved. In this paper, MPS method is extended to the large eddy simulation （LES） by coupling with a sub-particle-scale （SPS） turbulence model. The SPS turbulence model turns into the Reynolds stress terms in the filtered momentum equation, and the Smagorinsky model is introduced to describe the Reynolds stress terms. Although MPS method has the advantage in the simulation of the free surface flow, a lot of non-free surface particles are treated as free surface particles in the original MPS model. In this paper, we use a new free surface tracing method and the key point is ＂neighbor particle＂. In this new method, the zone around each particle is divided into eight parts, and the particle will be treated as a free surface particle as long as there are no ＂neighbor particles＂ in any two parts of the zone. As the number density parameter judging method has a high efficiency for the free surface particles tracing, we combine it with the neighbor detected method. First, we select out the particles which may be mistreated with high probabilities by using the number density parameter judging method. And then we deal with these particles with the neighbor detected method. By doing this, the new mixed free surface tracing method can reduce the mistreatment problem efficiently. The serious pressure fluctuation is an obvious defect in MPS method, and therefore an area-time average technique is used in this paper to remove the pressure fluctuation with a quite good result. With these improvements, the modified MPS-LES method is applied to simulate liquid sloshing problems with large deforming free surface. Results show that the modified MPS-LES method can simulate the large deforming free surface easily. It can not only capture the large impact pressure accurately on rolling tank wall but also can generate all physical phenomena successfully. The good agreement between numerical and experimental results proves that the modified MPS-LES method is a good CFD methodology in free surface flow simulations. 展开更多
关键词 liquid sloshing large deforming free surface meshless moving particle semi-implicit method （MPS） largeeddy simulation （LES）
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基于隐含特征和SIFT方法的SAR图像多尺度配准 认领 引用 被引量：1
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作者 蒙倩颜 闫立誉 +1 位作者 叶俊明 邓云逸 《现代电子技术》 北大核心 2026年第1期54-58,共5页
为改善SAR图像配准过程中特征点分布不均、匹配质量不足等问题,文中提出基于隐含特征和SIFT方法的SAR图像多尺度配准方法。该方法对SAR图像进行极化分解后,使用过Wishart分布方式描述SAR图像相干矩阵梯度,再使用分辨单元1到2方式对SAR图... 为改善SAR图像配准过程中特征点分布不均、匹配质量不足等问题,文中提出基于隐含特征和SIFT方法的SAR图像多尺度配准方法。该方法对SAR图像进行极化分解后,使用过Wishart分布方式描述SAR图像相干矩阵梯度,再使用分辨单元1到2方式对SAR图像Wishart梯度进行描述,得到单级化SAR图像比值梯度,该比值梯度为SAR图像隐含特征,同时使用SIFT方法建立SAR多尺度空间,在该多尺度空间内生成SAR图像的降采样图像,在该降采样图像的基础上,计算单级化SAR图像比值梯度,依据SAR图像隐含特征确定SAR图像特征极值点和特征点主方向后,生成均匀的SAR图像多尺度配准特征描述向量,再通过欧氏距离来描述SAR图像多尺度配准特征描述向量之间的距离,实现SAR图像多尺度配准。实验结果表明:该方法提取SAR图像隐含特征能力较强,可在SAR图像存在缩放和旋转的情况下高质量实现多尺度配准,应用性较好。 展开更多
关键词 隐含特征 SIFT方法 SAR图像 多尺度配准 极化分解 Wishart梯度 特征极值点 描述向量
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Crank-Nicolson ADI Galerkin Finite Element Methods for Two Classes of Riesz Space Fractional Partial Differential Equations 认领 引用 被引量：1
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作者 An Chen 《Computer Modeling in Engineering & Sciences》 SCIE EI 2020年第6期917-939,共23页
In this paper,two classes of Riesz space fractional partial differential equations including space-fractional and space-time-fractional ones are considered.These two models can be regarded as the generalization of the... In this paper,two classes of Riesz space fractional partial differential equations including space-fractional and space-time-fractional ones are considered.These two models can be regarded as the generalization of the classical wave equation in two space dimensions.Combining with the Crank-Nicolson method in temporal direction,efficient alternating direction implicit Galerkin finite element methods for solving these two fractional models are developed,respectively.The corresponding stability and convergence analysis of the numerical methods are discussed.Numerical results are provided to verify the theoretical analysis. 展开更多
关键词 Fractional partial differential equations Galerkin approximation alternating direction implicit method stability convergence
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提升地区电网暂态电压安全的构网型逆变器和STATCOMs协调优化配置 认领 引用
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作者 俞晓峰 谭荣昊 +3 位作者 唐彬彬 林舜江 程晔 梁炜焜 《电力科学与技术学报》 CAS CSCD 北大核心 2026年第2期64-78,共15页
目前,接入地区电网中的新能源场站主要采用跟网型控制,由于其为电流源控制特性,不具有和传统同步发电机类似的电压支撑能力,这会降低地区电网的暂态电压安全性,使系统在发生短路故障或冲击负荷频繁启动时更易发生暂态电压失稳,影响用户... 目前,接入地区电网中的新能源场站主要采用跟网型控制,由于其为电流源控制特性,不具有和传统同步发电机类似的电压支撑能力,这会降低地区电网的暂态电压安全性,使系统在发生短路故障或冲击负荷频繁启动时更易发生暂态电压失稳,影响用户的安全可靠供电。基于此,建立提升地区电网暂态电压安全的构网型逆变器和静止同步补偿器(static synchronous compensator,STATCOM)协调优化配置模型。首先,以最小化投资成本为目标函数,要求系统在发生短路故障或冲击负荷启动时满足暂态安全约束,并确保在暂态过程中新能源场站构网型逆变器的输出电流不越限,实现低电压穿越。其次,为快速、准确地求解此含微分方程约束的优化模型,提出基于快速启动的四阶隐式Adams法,减少传统四阶隐式Adams法启动时的差分时段数量,将将微分方程约束转化为较少量的代数方程约束,使模型能够被快速、准确求解。最后,以中国某地的电网数据为例,验证所提出优化配置模型和求解算法的有效性。 展开更多
关键词 暂态电压安全 低电压穿越 构网型逆变器 STATCOM 四阶隐式Adams法
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适用于任意事件的可变步长2S-DIRK电磁暂态仿真算法 认领 引用 被引量：1
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作者 庞博涵 刘文焯 汤涌 《中国电机工程学报》 EI CSCD 北大核心 2026年第4期1431-1442,I0011,共12页
在非线性电路的电磁暂态仿真中,梯形法面临数值振荡问题。2级对角隐式龙格-库塔法(2-stage diagonally implicit Runge-Kutta,2S-DIRK)虽具有L-稳定性,不会产生数值振荡,但存在数值尖峰和难以处理开关事件的问题。针对上述问题,该文提... 在非线性电路的电磁暂态仿真中,梯形法面临数值振荡问题。2级对角隐式龙格-库塔法(2-stage diagonally implicit Runge-Kutta,2S-DIRK)虽具有L-稳定性,不会产生数值振荡,但存在数值尖峰和难以处理开关事件的问题。针对上述问题,该文提出了一种改进2S-DIRK(modified 2S-DIRK,M2S-DIRK)数值积分方法。该文首先分析了2S-DIRK的数值积分过程,阐述了2S-DIRK产生数值尖峰的原因;然后,给出了M2S-DIRK的数值积分格式及伴随模型,并设计了事件定位算法和可变步长方案;最后,通过仿真算例验证了M2S-DIRK的正确性和有效性。仿真结果表明,M2S-DIRK继承了2S-DIRK的L稳定特性,从根本上解决了数值振荡问题,且有效避免了数值尖峰,能够灵活准确地处理开关事件。与过零点插值、临界阻尼调整、特性补偿法算法相比,M2S-DIRK方法更加简便,具有更高的数值稳定性,适用于非线性电路的电磁暂态仿真。 展开更多
关键词 电磁暂态仿真 非线性电路 电力电子 数值积分方法 对角隐式龙格-库塔法 数值振荡 数值尖峰
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