共查询到20条相似文献,搜索用时 515 毫秒
1.
解拟线性抛物方程的一类二阶差分格式 总被引:6,自引:0,他引:6
解拟线性抛物方程的一类二阶差分格式孙志忠(中国科学院计算中心)ACLASSOFSECOND-ORDERACCURATEDIFFERENCESCHEMESFORQUASI-LINEARPARABOLICEQUATIONS¥SunZhi-zhong(Co... 相似文献
2.
解线性抛物方程的一类新格式 总被引:6,自引:2,他引:6
解线性抛物方程的一类新格式孙志忠(中国科学院计算中心)ANEWCLASSOFDIFFERENCESCHEMESFORLINEARPARABOLICDIFFERENTIALEQUATIONS¥SunZhi-zhong(ComputingCenter,A... 相似文献
3.
双下标L~p-混合随机变量和及其在线性模型中的应用胡舒合(安徽大学数学系,合肥230039)SUMSOFDOUBLEARRAYSOFL~p-MIXINGALESEQUENCEANDITSAPPLICATIONINLINEARMODELS¥HUSHUHE... 相似文献
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POSITIVESOLUTIONSANDBIFURCATIONOFFULLYNONLINEARELLIPTICEQUATIONSINVOLVINGSUPER-CRITICALSOBOLEVEXPONENTS¥QUCHANGZHENG(屈长征)(Ins... 相似文献
6.
THE NON-EXISTENCE OF PERIODIC SOLUTIONS OF A CERTAIN CLASS OF N-TH ORDER DIFFERENTIAL EQUATIONSTHENON-EXISTENCEOFPERIODICSOLU... 相似文献
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A NECESSARY AND SUFFICIENT CONDITION OF EXISTENCE OF GLOBAL SOLUTIONS FOR SOME NONLINEAR HYPERBOLIC EQUATIONS 总被引:2,自引:0,他引:2
Zhang Quande 《数学年刊B辑(英文版)》1995,16(4):461-468
ANECESSARYANDSUFFICIENTCONDITIONOFEXISTENCEOFGLOBALSOLUTIONSFORSOMENONLINEARHYPERBOLICEQUATIONS¥ZHANGQUANDE(DepartmentofMathe... 相似文献
8.
ONEXISTENCE,UNIQUENESSANDREGULARITYOFSTEADYSTATESOLUTIONSTOTHEBASICSEMICONDUCTOREQUATIONSWangYuanming(王元明)FanJishan(樊继山)(Dept... 相似文献
9.
ANOTEFORTHETOPOLOGICALCLASSIFICATIONOFSTRUCTURALLYSTABLEQUADRATICDIFFERENTIALSYSTEMSWITHOUTLIMITCYCLES¥YeWeiyin(叶惟寅)(NanjingN... 相似文献
10.
张虎明 《应用数学学报(英文版)》1996,12(3):257-277
ASYMPTOTICCANONICALFORMSANDITERATEDLOGARITHMRATERESULTSOFLEASTSQUARESESTIMATESFORUNSTABLEARMAMODELSZHANGHUMING(张虎明)(Departmen... 相似文献
11.
V. B. Akkerman M. L. Zaytsev 《Computational Mathematics and Mathematical Physics》2011,51(8):1418-1430
A method for transforming the Euler and Navier-Stokes equations and a complete system of fluid dynamics equations in three
dimensions to a closed system on any moving surface is proposed. As a result, for an arbitrary geometric configuration, the
dimension of the equations is reduced by one, which makes them convenient for numerical simulation. The general principles
of the method are described, and verifying examples are presented. 相似文献
12.
A design optimization technique is presented which couples a computationally efficient Navier-Stokes code with a numerical optimization algorithm. The design method improves the aerodynamic performance of an airfoil subject to specified design objectives and constraints. Recent advances in computers and compputational fluid dynamics have permitted the use of the Navier-Stokes equations in the design procedure to include the nonlinear, rotational, viscous physics of transonic flows. Using numerical optimization guarantees that a better design will be produced even with strict design constraints. The method is demonstrated with several examples at transonic flow conditions. 相似文献
13.
A. Herrán-González J.M. De La CruzB. De Andrés-Toro J.L. Risco-Martín 《Applied Mathematical Modelling》2009
This research study focuses on the modeling and simulation of a gas distribution pipeline network with a special emphasis on gas ducts. Gas ducts are the most important components of such kind of systems since they define the major dynamic characteristics. Isothermal, unidirectional flow is usually assumed when modeling the gas flow through a gas duct. This paper presents two simplified models derived from the set of partial differential equations governing the dynamics of the process. These models include the inclination term, neglected in most related papers. Moreover, two numerical schemes are presented for the integration of such models. Also, it is shown how the pressure drop along the pipe has a strong dependency with the inclination term. To solve the system dynamics through the proposed numerical schemes a based MATLAB-Simulink library was built. With this library it is possible to simulate the behavior of a gas distribution network from the individual simulation of each component. Finally, the library is tested through three application examples, and results are compared with the existing ones in the literature. 相似文献
14.
An appropriate method for the simulation of continuous forming processes is the material point method (MPM) [1],[2] which combines the viewpoints of fluid dynamics and solid mechanics. The MPM and related methods [3] are derived from the particle‐in‐cell methods [4]. Bodies are discretised by Lagragian particles with pointwise mass distributions. The differential equations in their weak form are solved on temporary meshes built of standard finite elements. At the end of each time step the particle positions are updated and the mesh is replaced by a new mesh with a regular shape. The state variables at the nodes of the new mesh are extracted from the state variables at the particles by a transfer algorithm. When particles pass element boundaries, numerical difficulties might be observed. These are eliminated by a smooth approximation of nodal data from material point data. The modified MPM has been implemented together with the FEM in one programme because the similarities of the methods outbalance the differences. On the basis of numerical examples the results of both methods are compared. (© 2004 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim) 相似文献
15.
《Finite Elements in Analysis and Design》2009,45(1):52-59
This paper deals with pressure-based finite element analysis of fluid–structure systems considering the coupled fluid and structural dynamics. The present method uses two-dimensional fluid elements and structural line elements for the numerical simulation of the problem. The equations of motion of the fluid, considered inviscid and compressible, are expressed in terms of the pressure variable alone. The solution of the coupled system is accomplished by solving the two systems separately with the interaction effects at the fluid–solid interface enforced by an iterative scheme. Non-divergent pressure and displacement are obtained simultaneously through iterations. The Galerkin weighted residual method-based FE formulation and the iterative solution procedure are explained in detail followed by some numerical examples. Numerical results are compared with the existing solutions to validate the code for sloshing with fluid–structure coupling. 相似文献
16.
In this paper an infinite-dimensional approach to model energy forward markets is introduced. Similar to the Heath–Jarrow–Morton framework in interest-rate modelling, a first-order hyperbolic stochastic partial differential equation models the dynamics of the forward price curves. These equations are analysed, and in particular regularity and no-arbitrage conditions in the general situation of stochastic partial differential equations driven by an infinite-dimensional martingale process are studied. Both arithmetic and geometric forward price dynamics are studied, as well as accounting for the delivery period of electricity forward contracts. A stable and convergent numerical approximation in the form of a finite element method for hyperbolic stochastic partial differential equations is introduced and applied to some examples with relevance to energy markets. 相似文献
17.
A boundary element method for potential flow problem coupled with the dynamics of rigid body was developed to determine numerically the resultant force and moment of force acting on an arbitrarily three-dimensional solid body and its motion in a current of an infinite fluid. An accurate integration method for singular integrands occurring in the boundary integral equations, a computational method for the tangential gradient of a velocity potential on a surface, and a method to properly treat the singularities appearing in the system of the dynamic equations of a rigid body, were proposed to complete the numerical solution of the problem. Several numerical examples were given to show the validity of the method. 相似文献
18.
In this communication, the Rodriguez method is proposed for modeling dynamics of the robotic system, where Lagrange's equations of second kind of rigid bodies system in covariant form are used. Discrete hybrid elements with so called piezo-modified Kelvin-Voight (PKV) and magnetorheological (MRD) type of viscoelastic models with fractional order derivatives are introduced in to the system of motion equations by means of generalized forces. The results obtained are illustrated by numerical examples. (© 2013 Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim) 相似文献
19.
Consider uniform flow past an oscillating body generating a time-periodic motion in an exterior domain, modelled by a numerical fluid dynamics solver in the near field around the body. A far-field formulation, based on the Oseen equations, is presented for coupling onto this domain thereby enabling the whole space to be modelled. In particular, examples for formulations by boundary elements and infinite elements are described. 相似文献
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《Communications in Nonlinear Science & Numerical Simulation》2010,15(9):2388-2399
In this paper, Adomian’s decomposition method is used to solve non-linear differential equations which arise in fluid dynamics. We study basic flow problems of a third grade non-Newtonian fluid between two parallel plates separated by a finite distance. The technique of Adomian decomposition is successfully applied to study the problem of a non-Newtonian plane Couette flow, fully developed plane Poiseuille flow and plane Couette–Poiseuille flow. The results obtained show the reliability and efficiency of this analytical method. Numerical solutions are also obtained by solving non-linear ordinary differential equations using Chebyshev spectral method. We present a comparative study between the analytical solutions and numerical solutions. The analytical results are found to be in good agreement with numerical solutions which reveals the effectiveness and convenience of the Adomian decomposition method. 相似文献