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  • Open Access


    Simulation of Wave Propagation Through Inhomogeneous Medium Waveguides Based on Green’s Functions

    Wenzhi Xu1, ZhuoJia Fu1,*, Qiang Xi1

    The International Conference on Computational & Experimental Engineering and Sciences, Vol.27, No.4, pp. 1-1, 2023, DOI:10.32604/icces.2023.010437

    Abstract Acoustic wave propagation through an inhomogeneous medium may lead to undergo substantial modification. This paper proposed a Green’s functions-based method for the simulation of wave propagation through inhomogeneous medium waveguides. Under ideal conditions, a modified wave equation is derived by variable transformations, in which only the wave speed varies with spatial coordinates. Based on the modified wave equation the acoustic Green’s functions are derived. Then, the localized method of fundamental solution (LMFS) in conjunction with the acoustic Green’s functions is introduced to solve the modified wave equation. In the LMFS, the acoustic Green’s function is considered as its basic function… More >

  • Open Access


    The Localized Method of Fundamental Solution for Two Dimensional Signorini Problems

    Zhuowan Fan1, Yancheng Liu1, Anyu Hong1,*, Fugang Xu1,*, Fuzhang Wang2

    CMES-Computer Modeling in Engineering & Sciences, Vol.132, No.1, pp. 341-355, 2022, DOI:10.32604/cmes.2022.019715

    Abstract In this work, the localized method of fundamental solution (LMFS) is extended to Signorini problem. Unlike the traditional fundamental solution (MFS), the LMFS approximates the field quantity at each node by using the field quantities at the adjacent nodes. The idea of the LMFS is similar to the localized domain type method. The fictitious boundary nodes are proposed to impose the boundary condition and governing equations at each node to formulate a sparse matrix. The inequality boundary condition of Signorini problem is solved indirectly by introducing nonlinear complementarity problem function (NCP-function). Numerical examples are carried out to validate the reliability… More >

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