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  • Open Access


    Soft Tissue Deformation Model Based on Marquardt Algorithm and Enrichment Function

    Xiaorui Zhang1,2,*, Xuefeng Yu1, Wei Sun2, Aiguo Song3

    CMES-Computer Modeling in Engineering & Sciences, Vol.124, No.3, pp. 1131-1147, 2020, DOI:10.32604/cmes.2020.09735

    Abstract In order to solve the problem of high computing cost and low simulation accuracy caused by discontinuity of incision in traditional meshless model, this paper proposes a soft tissue deformation model based on the Marquardt algorithm and enrichment function. The model is based on the element-free Galerkin method, in which Kelvin viscoelastic model and adjustment function are integrated. Marquardt algorithm is applied to fit the relation between force and displacement caused by surface deformation, and the enrichment function is applied to deal with the discontinuity in the meshless method. To verify the validity of the model, the Sensable Phantom Omni… More >

  • Open Access


    A meshless model for rapid prediction of indoor contaminant dispersion

    Darrell W. Pepper1, Xiuling Wang2

    The International Conference on Computational & Experimental Engineering and Sciences, Vol.13, No.1, pp. 15-22, 2009, DOI:10.3970/icces.2009.013.015

    Abstract A meshless method for simulating indoor contaminant dispersion within buildings and rooms has been developed. The approach utilizes the advantages of the meshless method by distributing collocation points and different order radial basis functions according to the computational domain and evolving numerical solution. The numerical scheme yields fast convergence and high accuracy necessary for providing quick assessments of contamination transport within enclosures. More >

  • Open Access


    Adaptively Refined Hybrid FDM-RBF Meshless Scheme with Applications to Laminar and Turbulent Viscous Fluid Flows

    S. Gerace1, K. Erhart1, E. Divo1,2, A. Kassab1

    CMES-Computer Modeling in Engineering & Sciences, Vol.81, No.1, pp. 35-68, 2011, DOI:10.3970/cmes.2011.081.035

    Abstract The focus of this work is to demonstrate a novel approach to true CFD automation based on an adaptive Cartesian point distribution process coupled with a Meshless flow solution algorithm. As Meshless method solutions require only an underlying nodal distribution, this approach works well even for complex flow geometries with non-aligned domain boundaries. Through the addition of a so-called shadow layer of body-fitted nodes, application of boundary conditions is simplified considerably, eliminating the stair-casing issues of typical Cartesian-based techniques. This paper describes the approach taken to automatically generate the Meshless nodal distribution, along with the details of an automatic local… More >

  • Open Access


    A Meshless Modeling of Dynamic Strain Localization in Quasi-Brittle Materials Using Radial Basis Function Networks

    P. Le1, N. Mai-Duy2, T. Tran-Cong3, G. Baker4

    CMES-Computer Modeling in Engineering & Sciences, Vol.25, No.1, pp. 43-68, 2008, DOI:10.3970/cmes.2008.025.043

    Abstract This paper describes an integrated radial basis function network (IRBFN) method for the numerical modelling of the dynamics of strain localization due to strain softening in quasi-brittle materials. The IRBFN method is a truly meshless method that is based on an unstructured point collocation procedure. We introduce a new and effective regularization method to enhance the performance of the IRBFN method and alleviate the numerical oscillations associated with weak discontinuity at the elastic wave front. The dynamic response of a one dimensional bar is investigated using both local and non-local continuum models. Numerical results, which compare favourably with those obtained… More >

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