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Search Results (5)
  • Open Access


    A Meshless and Matrix-Free Approach to Modeling Turbulent Fluid Flow

    Matthew Wilkinson, Javier Villarreal, Andrew Meade*

    CMES-Computer Modeling in Engineering & Sciences, Vol.129, No.3, pp. 1373-1393, 2021, DOI:10.32604/cmes.2021.017883

    Abstract A meshless and matrix-free fluid dynamics solver (SOMA) is introduced that avoids the need for user generated and/or analyzed grids, volumes, and meshes. Incremental building of the approximation avoids creation and inversion of possibly dense block diagonal matrices and significantly reduces user interaction. Validation results are presented from the application of SOMA to subsonic, compressible, and turbulent flow over an adiabatic flat plate. More >

  • Open Access


    A Parametric Study of Mesh Free Interpolation Based Recovery Techniques in Finite Element Elastic Analysis

    Mohd. Ahmed1,*, Mohamed Hechmi El Ouni1, Devinder Singh2, Nabil Ben Kahla1

    CMES-Computer Modeling in Engineering & Sciences, Vol.121, No.2, pp. 687-786, 2019, DOI:10.32604/cmes.2019.06886

    Abstract The paper presents a parametric study on interpolation techniques based postprocessed error estimation in finite element elastic analysis by varying important parameters of recovery, interpolation scheme and type of patch construction. The quality of error estimation with recovery parameters is compared in terms of local and global effectivity of error estimation, rate of error convergence, and adaptively refined meshes. A mesh free moving least square interpolation technique with proven reliability and effectivity is introduced for improving the recovery of finite element solution errors. The post-processed finite element solutions of elastic problems are presented for performance More >

  • Open Access


    Non-Newtonian Lid-driven Cavity Flow Simulation by Mesh Free Method

    Abazar Shamekhi1, Abbas Aliabadi2

    The International Conference on Computational & Experimental Engineering and Sciences, Vol.11, No.3, pp. 67-72, 2009, DOI:10.3970/icces.2009.011.067

    Abstract Non-Newtonian lid-driven cavity flow is studied in a wide range of Reynolds numbers. The algorithm of mesh free characteristic based split has been extended for solving non-Newtonian flow problems in meshfree context. It is assumed that the non-Newtonian fluid properties obey Carreau-Yasuda rheological model. The results obtained from mesh free characteristic based split algorithm have been compared to the results of other meshfree methods. Results have been obtained for the velocity profiles at Reynolds numbers as high as 1000 for a Carreau-Yasuda fluid. More >

  • Open Access


    A Mesh Free Method for Simulations of Incompressible Fluid Flow

    M. Chatterjee, A.K. Mahendra, A.Sanyal, G. Gouthaman

    CMES-Computer Modeling in Engineering & Sciences, Vol.83, No.4, pp. 385-402, 2012, DOI:10.3970/cmes.2012.083.385

    Abstract In this paper, we describe an Incompressible Navier-Stokes (INS) sol -ver using mesh less least square based discretisation on arbitrary distribution of points. The method uses modified Artificial Compressibility Method (ACM) with least square based discretisation. The Solver operates on an arbitrary distribution of points and uses a novel least squares based method that replaces the normal equations approach. This method generates the non-symmetric cross-product matrix by suitable selection of sub stencils such that the matrix is diagonally dominant and well conditioned. The INS solver has been validated with results available in literature for standard More >

  • Open Access


    Numerical Solution of Nonlinear Schrodinger Equations by Collocation Method Using Radial Basis Functions

    Sirajul Haq1,2, Siraj-Ul-Islam3, Marjan Uddin1,4

    CMES-Computer Modeling in Engineering & Sciences, Vol.44, No.2, pp. 115-136, 2009, DOI:10.3970/cmes.2009.044.115

    Abstract A mesh free method for the numerical solution of the nonlinear Schrodinger (NLS) and coupled nonlinear Schrodinger (CNLS) equation is implemented. The presented method uses a set of scattered nodes within the problem domain as well as on the boundaries of the domain along with approximating functions known as radial basis functions (RBFs). The set of scattered nodes do not form a mesh, means that no information of relationship between the nodes is needed. Error norms L2, L are used to estimate accuracy of the method. Stability analysis of the method is given to demonstrate its More >

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