An efficient algorithm to analyze wave propagation in fluid/solid and solid/fluid phononic crystals
The paper presents an efficient and accurate algorithm to analyze the fluid/solid and
solid/fluid phononic crystals (PCs) with fluid structure interaction (FSI). In the proposed mass …
solid/fluid phononic crystals (PCs) with fluid structure interaction (FSI). In the proposed mass …
Boundary element method for band gap calculations of two-dimensional solid phononic crystals
A boundary element method (BEM) is developed to calculate the elastic band gaps of two-
dimensional (2D) phononic crystals which are composed of square or triangular lattices of …
dimensional (2D) phononic crystals which are composed of square or triangular lattices of …
Bandgap calculations of two-dimensional solid–fluid phononic crystals with the boundary element method
A boundary element method (BEM) is presented to compute the bandgaps of two-
dimensional (2D) solid–fluid phononic crystals which are composed of square or triangular …
dimensional (2D) solid–fluid phononic crystals which are composed of square or triangular …
A new integral representation for quasi-periodic fields and its application to two-dimensional band structure calculations
A Barnett, L Greengard - Journal of Computational Physics, 2010 - Elsevier
In this paper, we consider band structure calculations governed by the Helmholtz or Maxwell
equations in piecewise homogeneous periodic materials. Methods based on boundary …
equations in piecewise homogeneous periodic materials. Methods based on boundary …
Transmission and radiation of acoustic oblique incident through tube arrays based on phononic crystals theory
G Jiang, Y Liu, Y Wu, W Xu, Q Kong, C Zhang - Applied Acoustics, 2017 - Elsevier
In a utility boiler, the heat exchanger's structure is similar to a two-dimensional phononic
crystal. Based on the phononic crystal theory, this paper studies sound propagation through …
crystal. Based on the phononic crystal theory, this paper studies sound propagation through …
Bandgap calculation of two-dimensional mixed solid–fluid phononic crystals by Dirichlet-to-Neumann maps
A numerical method based on the Dirichlet-to-Neumann (DtN) map is presented to compute
the bandgaps of two-dimensional phononic crystals, which are composed of square or …
the bandgaps of two-dimensional phononic crystals, which are composed of square or …
Numerical simulation of waves in periodic structures
M Ehrhardt, H Han, C Zheng - 2008 - oa.tib.eu
In this work we present a new numerical technique for solving periodic structure problems.
This new approach possesses several advantages. First, it allows for a fast evaluation of the …
This new approach possesses several advantages. First, it allows for a fast evaluation of the …
Bandgap calculation for mixed in-plane waves in 2D phononic crystals based on Dirichlet-to-Neumann map
In this paper, a method based on the Dirichletto-Neumann map is developed for bandgap
calculation of mixed in-plane waves propagating in 2D phononic crystals with square and …
calculation of mixed in-plane waves propagating in 2D phononic crystals with square and …
Efficient analysis of photonic crystal devices by Dirichlet-to-Neumann maps
An efficient numerical method based on the Dirichlet-to-Neumann (DtN) maps of the unit
cells is developed for accurate simulations of two-dimensional photonic crystal (PhC) …
cells is developed for accurate simulations of two-dimensional photonic crystal (PhC) …
A unified integral equation scheme for doubly periodic Laplace and Stokes boundary value problems in two dimensions
AH Barnett, GR Marple… - … on Pure and Applied …, 2018 - Wiley Online Library
We present a spectrally accurate scheme to turn a boundary integral formulation for an
elliptic PDE on a single unit cell geometry into one for the fully periodic problem. The basic …
elliptic PDE on a single unit cell geometry into one for the fully periodic problem. The basic …