A time-domain spectral element method for simulating guided waves: Waves: Analysis of accuracy and efficiency

Menglong Liu, David Schmicker, Fangsen Cui, Zhongqing Su

Research output: Chapter in book / Conference proceedingConference article published in proceeding or bookAcademic researchpeer-review

Abstract

Ultrasonic guided wave is currently under extensive research and application in the field of nondestructive testing and structural health monitoring. Numerical simulation of wave propagation and the interaction between wave and defect/discontinuity helps guide the damage detection. However, the small temporal increment, together with dense mesh discretization to satisfy the calculation in the ultrasonic range, significantly hinders the modeling of wave propagation. The time domain spectral element method (SEM), a finite element method (FEM) of high order with specialized Gauss-Lobatto-Legendre node distribution and Lobatto quadrature algorithm, is frequently used in the domain of wave propagation. This paper quantitatively compares the calculation accuracy and efficiency of SEM over conventional FEM. A 2-D plane strain model of Lamb wave propagation is built with both SEM and conventional FEM, in which the speeds of fundamental symmetric mode (S0) and anti-symmetric mode (A0) are calculated to be compared with analytical result as the indicator of accuracy. When the mesh size is restricted within 20 nodes per wavelength, SEM exhibits a trend of quicker convergence speed and higher calculation accuracy, presenting the error less than 0.1%, while FEM can only reach an error larger than 1%. In addition, with the formed diagonal mass matrix, the simplified inverse of mass matrix and less matrix multiplication in every temporal increment step in the explicit algorithm endows SEM with much higher calculation efficiency over conventional FEM.
Original languageEnglish
Title of host publicationINTER-NOISE 2017 - 46th International Congress and Exposition on Noise Control Engineering: Taming Noise and Moving Quiet
PublisherInstitute of Noise Control Engineering
Publication statusPublished - 1 Jan 2017
Event46th International Congress and Exposition on Noise Control Engineering: Taming Noise and Moving Quiet, INTER-NOISE 2017 - Hong Kong Convention and Exhibition Centre (HKCEC), Hong Kong, Hong Kong
Duration: 27 Aug 201730 Aug 2017

Conference

Conference46th International Congress and Exposition on Noise Control Engineering: Taming Noise and Moving Quiet, INTER-NOISE 2017
Country/TerritoryHong Kong
CityHong Kong
Period27/08/1730/08/17

Keywords

  • Lamb wave I-INCE classification of subjects number(s): 76
  • Spectral element method

ASJC Scopus subject areas

  • Acoustics and Ultrasonics

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