Home / Journals / CMES / Vol.105, No.3, 2015
Table of Content
  • Open Access

    ARTICLE

    DRBEM Solution of MHD Flow with Magnetic Induction and Heat Transfer

    B. Pekmen1,2, M. Tezer-Sezgin2,3
    CMES-Computer Modeling in Engineering & Sciences, Vol.105, No.3, pp. 183-207, 2015, DOI:10.3970/cmes.2015.105.183
    Abstract This study proposes the dual reciprocity boundary element (DRBEM) solution for full magnetohydrodynamics (MHD) equations in a lid-driven square cavity. MHD equations are coupled with the heat transfer equation by means of the Boussinesq approximation. Induced magnetic field is also taken into consideration. The governing equations in terms of stream function, temperature, induced magnetic field components, and vorticity are solved employing DRBEM in space together with the implicit backward Euler formula for the time derivatives. The use of DRBEM with linear boundary elements which is a boundary discretization method enables one to obtain small sized linear systems. This makes the… More >

  • Open Access

    ARTICLE

    An Improved WCSPH Method to Simulate the Non-Newtonian Power Law Fluid Flow Induced by Motion of a Square Cylinder

    R. Shamsoddini, N. Aminizadeh1, M. Sefid
    CMES-Computer Modeling in Engineering & Sciences, Vol.105, No.3, pp. 209-230, 2015, DOI:10.3970/cmes.2015.105.209
    Abstract In this study, an improved weakly compressible Smoothed Particle Hydrodynamics method is introduced and applied for investigation of the non- Newtonian power-law fluid flow which is induced by motion of a square cylinder. The method is based on a predictor-corrector scheme and pressure velocity coupling to overcome the non-physical fluctuations of WCSPH. The numerical method is also supported by the corrective tensors and shifting algorithm. The results are validated against the well known test cases and benchmark data. The square motion is tested in various Reynolds numbers for various power law indices. The results show that the drag coefficient increases… More >

  • Open Access

    ARTICLE

    A New Coupled Fractional Reduced Differential Transform Method for the Numerical Solution of Fractional Predator-Prey System

    S. Saha Ray1
    CMES-Computer Modeling in Engineering & Sciences, Vol.105, No.3, pp. 231-249, 2015, DOI:10.3970/cmes.2015.105.231
    Abstract In the present article, a relatively very new technique viz. Coupled Fractional Reduced Differential Transform, has been executed to attain the approximate numerical solution of the predator-prey dynamical system. The fractional derivatives are defined in the Caputo sense. Utilizing the present method we can solve many linear and nonlinear coupled fractional differential equations. The results thus obtained are compared with those of other available methods. Numerical solutions are presented graphically to show the simplicity and authenticity of the method. More >

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