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  • Open AccessOpen Access

    ARTICLE

    Parametric Study of a Pitching Flat Plate at Low Reynolds Numbers

    Yongsheng Lian 1
    CMES-Computer Modeling in Engineering & Sciences, Vol.72, No.1, pp. 1-16, 2011, DOI:10.3970/cmes.2011.072.001
    Abstract In this paper we simulate the unsteady, incompressible, and laminar flow behavior over a flat plate with round leading and trailing edges. A pressure-Poisson method is used to solve the incompressible Navier-Stokes equations. Both convection and diffusion terms are discretized using a second-order accurate central difference method. A second-order accurate split-step scheme with an Adam's predictor corrector time-stepping method is adopted for the time integration. An overlapping moving grid approach is employed to dynamically update the grid due to the plate motion. The effects of the pitch rate, Reynolds number, location of pitch axis, and computational domain size are investigated.… More >

  • Open AccessOpen Access

    ARTICLE

    In-Plane Vibration of a Beam Picking and Placing a Mass Along Arbitrary Curved Tracking

    Shueei-Muh Lin 1
    CMES-Computer Modeling in Engineering & Sciences, Vol.72, No.1, pp. 17-36, 2011, DOI:10.3970/cmes.2011.072.017
    Abstract In this study, examine the in-plane vibration of a robot arm picking and placing a mass along arbitrary curved tracking. This mathematical model is established. It is a moving mass problem. Due to the effect of movement along arbitrary curved tracking, the corresponding differential equation is nonlinear with the time-dependent coefficients and non-homogenous boundary conditions. So far, a few literatures devoted to investigate this system due to its complexity. The solution method procedure for this system is presented. It integrates several methods as the transform of variable, the subsection method, the mode superposition method, and the Green function method. Meanwhile,… More >

  • Open AccessOpen Access

    ARTICLE

    Surface Heating Problems of Thermal Propagation in Living Tissue Solved by Differential Transformation Method

    Jui-Hsun Ni, Cheng-Chi Chang, Yue-Tzu Yang, Cha’o-Kung Chen1
    CMES-Computer Modeling in Engineering & Sciences, Vol.72, No.1, pp. 37-52, 2011, DOI:10.3970/cmes.2011.072.037
    Abstract The hybrid method, which combines differential transformation and finite difference approximation techniques, is utilized to solve hyperbolic-type heat conduction (bio-heat) problems in one dimension. To capture the thermal behavior in a living tissue subjected to constant or exponential surface heating with the thermal wave model of bio-heat transfer, the relaxation time and the heat wave, which propagates in a direction perpendicular to the skin surface, are considered. The results show that the hybrid method can be used to solve hyperbolic heat conduction problems accurately. More >

  • Open AccessOpen Access

    ARTICLE

    Patient-Specific Carotid Plaque Progression Simulation Using 3D Meshless Generalized Finite Difference Models with Fluid-Structure Interactions Based on Serial In Vivo MRI Data

    Chun Yang1,2, Dalin Tang2, Satya Atluri3
    CMES-Computer Modeling in Engineering & Sciences, Vol.72, No.1, pp. 53-78, 2011, DOI:10.3970/cmes.2011.072.053
    Abstract Previously, we introduced a computational procedure based on three-dimensional meshless generalized finite difference (MGFD) method and serial magnetic resonance imaging (MRI) data to quantify patient-specific carotid atherosclerotic plaque growth functions and simulate plaque progression. Structure-only models were used in our previous report. In this paper, fluid-stricture interaction (FSI) was added to improve on prediction accuracy. One participating patient was scanned three times (T1, T2, and T3, at intervals of about 18 months) to obtain plaque progression data. Blood flow was assumed to laminar, Newtonian, viscous and incompressible. The Navier-Stokes equations with arbitrary Lagrangian-Eulerian (ALE) formulation were used as the governing… More >

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