Title A mesh - free method with arbitrary - order accuracy for acousticwave propagation
نویسندگان
چکیده
1 In the present study, we applied a novel mesh-free method to solve acoustic wave equation. 2 Although the conventional finite difference methods determine the coefficients of its operator 3 based on the regular grid alignment, the mesh-free method is not restricted to regular 4 arrangements of calculation points. We derive the mesh-free approach using the 5 multivariable Taylor expansion. The methodology can use arbitrary-order accuracy scheme 6 in space by expanding the influence domain which controls the number of neighboring 7 calculation points. The unique point of the method is that the approach calculates the 8 approximation of derivatives using the differences of spatial variables without parameters as 9 e.g. the weighting functions, basis functions. Dispersion analysis using a plane wave reveals 10 that the choice of the higher-order scheme improves the dispersion property of the method 11 although the scheme for the irregular distribution of the calculation points is more dispersive 12 than that of the regular alignment. In numerical experiments, a model of irregular 13 distribution of the calculation points reproduces acoustic wave propagation in a homogeneous 14 medium same as that of a regular lattice. In an inhomogeneous model which includes low 15 velocity anomalies, partially fine arrangement improves the effectiveness of computational 16 cost without suffering from accuracy reduction. Our result indicates that the method would 17 provide accurate and efficient solutions for acoustic wave propagation using adaptive 18
منابع مشابه
Title: a Mesh-free Method with Arbitrary-order Accuracy for Acoustic Wave Propagation Authors: Hitoshi Mikada 1 Naoto Imamura 1 Junichi Takekawa
1 In the present study, we applied a novel mesh-free method to solve acoustic wave equation. 2 Although the conventional finite difference methods determine the coefficients of its operator 3 based on the regular grid alignment, the mesh-free method is not restricted to regular 4 arrangements of calculation points. We derive the mesh-free approach using the 5 multivariable Taylor expansion. The...
متن کاملMesh-free Dynamic Analyses of FGM Sandwich Plates Resting on A Pasternak Elastic Foundation
This study analyzes the free vibration, forced vibration, resonance, and stress wave propagation of orthotropic sandwich plates made of functionally graded materials (FGMs). Dynamic analyses are conducted using a mesh-free method based on first-order shear deformation theory and the shape functions constructed using moving least squares approximation. The sandwich plates are rested on a Pastern...
متن کاملDynamic Fracture Analysis Using an Uncoupled Arbitrary Lagrangian Eulerian Finite Element Formulation
This paper deals with the implementation of an efficient Arbitrary Lagrangian Eulerian (ALE) formulation for the three dimensional finite element modeling of mode I self-similar dynamic fracture process. Contrary to the remeshing technique, the presented algorithm can continuously advance the crack with the one mesh topology. The uncoupled approach is employed to treat the equations. So, each t...
متن کاملFree vibration and buckling analysis of third-order shear deformation plate theory using exact wave propagation approach
In this paper, wave propagation approach is used to analysis the free vibration and buckling analysis of the thick rectangular plates based on higher order shear deformation plate theory. From wave viewpoint, vibrations can be considered as traveling waves along structures. Waves propagate in a waveguide and reflect at the boundaries. It is assumed that the plate has two opposite edge simply su...
متن کاملFree Vibration Analysis of Orthotropic FGM Cylinders by a Mesh-Free Method
In this paper, free vibration analysis of orthotropic functionally graded material (FGM) cylinders was carried out by a Mesh-Free method. In this analysis, moving least squares shape functions are used for approximation of displacement field in the weak form of equilibrium equation. Essential boundary conditions are imposed by transformation method. In this simulation, an axisymmetric model is ...
متن کامل