Wenzhi Xu¹, ZhuoJia Fu^1,*, 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 >

Zhuowan Fan¹, Yancheng Liu¹, Anyu Hong^1,*, Fugang Xu^1,*, 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 >