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  • Open Access

    ARTICLE

    On Collision Local Time of Two Independent Subfractional Brownian Motions

    Jingjun Guo1, Yanping Xiao2

    CMES-Computer Modeling in Engineering & Sciences, Vol.109-110, No.6, pp. 519-536, 2015, DOI:10.3970/cmes.2015.109.519

    Abstract We study the existence of collision local time of two independent subfractional Brownian motions with different coefficients in (-1/2,1/2) using an alternative expression. We prove that the collision local time is a Hida distribution based on the canonical framework of white noise analysis, and get chaos expansions. Finally, we show that the collision local time exists in (L2) under appropriate conditions. More >

  • Open Access

    ARTICLE

    A Note on Solving the Generalized Dirichlet to Neumann Map on Irregular Polygons using Generic Factored Approximate Sparse Inverses

    E-N.G. Grylonakis1, C.K. Filelis-Papadopoulos1, G.A. Gravvanis1

    CMES-Computer Modeling in Engineering & Sciences, Vol.109-110, No.6, pp. 505-517, 2015, DOI:10.3970/cmes.2015.109.505

    Abstract A new transform method for solving boundary value problems in two dimensions was proposed by A.S. Fokas, namely the unified transform. This approach seeks a solution to the unknown boundary values by solving a global relation, using the known boundary data. This relation can be used to characterize the Dirichlet to Neumann map. For the numerical solution of the global relation, a collocation-type method was recently introduced. Hence, the considered method is used for solving the 2D Laplace equation in several irregular convex polygons. The linear system, resulting from the collocation-type method, was solved by the Explicit Preconditioned Generalized Minimum… More >

  • Open Access

    ARTICLE

    Buckley-Leverett Analysis for Transient Two-phase Flow in Fractal Porous Medium

    Yonggang Duan1, Ting Lu1, Mingqiang Wei1, Boming Yu2, Zhelun Zhang1

    CMES-Computer Modeling in Engineering & Sciences, Vol.109-110, No.6, pp. 481-504, 2015, DOI:10.3970/cmes.2015.109.481

    Abstract Analysis of Buckley-Leverett solution in fractal porous medium does prediction of water saturation profile a favor. On the approximation that porous medium consists of a bundle of tortuous capillaries, a physical conceptual Buckley- Leverett model of transient two-phase flow in fractal porous medium is developed based on the fractal characteristics of pore size distribution. The relationship between water saturation and distance is presented according to Buckley-Leverett solution, and the proposed Buckley-Leverett expression is the function of fractal structural parameters (such as pore fractal dimension, tortuosity fractal dimension, maximum and minimum diameters of capillaries) and fluid properties (such as viscosity, contact… More >

  • Open Access

    ARTICLE

    Simulation of Hot Shape Rolling of Steel in Continuous Rolling Mill by Local Radial Basis Function Collocation Method

    U. Hanoglu1, B. Šarler1,2,3

    CMES-Computer Modeling in Engineering & Sciences, Vol.109-110, No.5, pp. 447-479, 2015, DOI:10.3970/cmes.2015.109.447

    Abstract The aim of this paper is to demonstrate the use of the novel Local Radial Basis Function Collocation Method (LRBFCM) [Šarler and Vertnik (2006)] in an industrial coupled thermo-mechanical problem of hot shape rolling of steel. The physical concept of such a large deformation problem is based on a two dimensional traveling slice model [Glowacki (2005)], which assumes deformation and heat flow only in the perpendicular direction to rolling. The solution is performed based on strong formulation. Elliptic Node Generation (ENG) is applied to reposition the nodes over a slice when necessary in order to sustain stability throughout the simulation.… More >

  • Open Access

    ARTICLE

    Active Cancellation Stealth Analysis Based on Cancellaty

    Mingxu Yi1, Lifeng Wang1,2, Yalin Pan1, Jun Huang1

    CMES-Computer Modeling in Engineering & Sciences, Vol.109-110, No.5, pp. 427-446, 2015, DOI:10.3970/cmes.2015.109.427

    Abstract Active cancellation stealth is a significant developing direction in modern stealth technology field. In this paper, according to characteristics of linear frequency modulated (LFM) signal and nonlinear frequency modulated (NLFM) signal, the cancellation signal was designed. An important parameter called cancellaty which is used to measure the effect of cancellation is proposed. The basic theory of active cancellation stealth is introduced. Based on radar target fluctuation models, the formulas of the radar detection probability are given. Combining the definition of cancellaty with radar detection probability, the effective scope of the cancellaty is ensured. Simulation results show the effectiveness and the… More >

  • Open Access

    ARTICLE

    MultivariableWavelet Finite Element for Plane Truss Analysis

    Xingwu Zhang1, Jixuan Liu2, Xuefeng Chen1,3, Zhibo Yang1

    CMES-Computer Modeling in Engineering & Sciences, Vol.109-110, No.5, pp. 405-425, 2015, DOI:10.3970/cmes.2015.109.405

    Abstract Plane truss is widely used in mechanical engineering, building engineering and the aerospace engineering et al.. The precisely analysis of plane truss is very important for structural design and damage detection. Based on the generalized variational principle and B spline wavelet on the interval (BSWI), the multivariable wavelet finite element for plane truss is constructed. First, the wavelet axial rod element and the multivariable wavelet Euler beam element are constructed. Then the multivariable plane truss element can be obtained by combining these two elements together. Comparing with the traditional method, the generalized displacement and stress are treated as independent variables… More >

  • Open Access

    ARTICLE

    A Multiscale Method Based on the Fibre Configuration Field, IRBF and DAVSS for the Simulation of Fibre Suspension Flows

    H.Q. Nguyen1, C.-D. Tran1, T. Tran-Cong1

    CMES-Computer Modeling in Engineering & Sciences, Vol.109-110, No.4, pp. 361-403, 2015, DOI:10.3970/cmes.2015.109.361

    Abstract In this paper, an Integrated Radial Basis Function (IRBF)-based multiscale method is used to simulate the rheological properties of dilute fibre suspensions. For the approach, a fusion of the IRBF computation scheme, the Discrete Adaptive Viscoelastic Stress Splitting (DAVSS) technique and the Fibre Configuration Field has been developed to investigate the evolution of the flow and the fibre configurations through two separate computational processes. Indeed, the flow conservation equations, which are expressed in vorticity-stream function formulation, are solved using IRBF-based numerical schemes while the evolution of fibre configuration fields governed by the Jeffery’s equation is captured using the principle of… More >

  • Open Access

    ARTICLE

    Meshless LocalWeak form Method Based on a Combined Basis Function for Numerical Investigation of Brusselator Model and Spike Dynamics in the Gierer-Meinhardt System

    Mohammad Ilati1, Mehdi Dehghan2

    CMES-Computer Modeling in Engineering & Sciences, Vol.109-110, No.4, pp. 325-360, 2015, DOI:10.3970/cmes.2015.109.325

    Abstract In this paper, at first, a new combined shape function is proposed. Then, based on this shape function, the meshless local weak form method is applied to find the numerical solution of time-dependent non-linear Brusselator and Gierer- Meinhardt systems. The combined shape function inherits the properties of radial point interpolation (RPI), moving least squares (MLS) and moving Kriging (MK) shape functions and is controlled by control parameters, which take different values in the domain [0;1]. The combined shape function provides synchronic use of different shape functions and this leads to more flexibility in the used method. The main aim of… More >

  • Open Access

    ARTICLE

    A RIM-based Time-domain Boundary Element Method for Three-Dimensional Non-homogeneousWave Propagations

    Liu Liqi1, Wang Haitao1,2

    CMES-Computer Modeling in Engineering & Sciences, Vol.109-110, No.4, pp. 303-324, 2015, DOI:10.3970/cmes.2015.109.303

    Abstract This paper presents a three-dimensional (3-D) boundary element method (BEM) scheme based on the Radial Integration Method (RIM) for wave propagation analysis of continuously non-homogeneous problems. The Kelvin fundamental solutions are adopted to derive the boundary-domain integral equation (BDIE). The RIM proposed by Gao (Engineering Analysis with Boundary Elements 2002; 26(10):905-916) is implemented to treat the domain integrals in the BDIE so that only boundary discretization is required. After boundary discretization, a set of second-order ordinary differential equations with respect to time variable are derived, which are solved using the Wilson-q method. Main advantages of the proposed method are that… More >

  • Open Access

    ARTICLE

    Aerodynamic Performance of DragonflyWing with Well-designed Corrugated Section in Gliding Flight

    Zilong Zhang1, Yajun Yin2, Zheng Zhong1,3, Hongxiao Zhao1

    CMES-Computer Modeling in Engineering & Sciences, Vol.109-110, No.3, pp. 285-302, 2015, DOI:10.3970/cmes.2015.109.285

    Abstract Dragonflies possess the highly corrugated wings which distinguish from the ordinary airfoils. To unlock the secrets of the dramatic flight ability of dragonflies, it will be of great significance to investigate the aerodynamic contribution of the corrugations. In this paper, a group of corrugated airfoils were specially designed based on the geometrical characteristics of a typical dragonfly wing. The two-dimensional Navier-Stokes equations were solved using the finite volume method, and the coefficients of lift and drag of the studied airfoils were calculated and compared with those of a flat airfoil and a NACA0008 airfoil. The obtained numerical results illustrated that… More >

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