Accurate finite element modeling of acoustic waves

A. Idesman, D. Pham

Research output: Contribution to journalArticlepeer-review

12 Scopus citations


In the paper we suggest an accurate finite element approach for the modeling of acoustic waves under a suddenly applied load. We consider the standard linear elements and the linear elements with reduced dispersion for the space discretization as well as the explicit central-difference method for time integration. The analytical study of the numerical dispersion shows that the most accurate results can be obtained with the time increments close to the stability limit. However, even in this case and the use of the linear elements with reduced dispersion, mesh refinement leads to divergent numerical results for acoustic waves under a suddenly applied load. This is explained by large spurious high-frequency oscillations. For the quantification and the suppression of spurious oscillations, we have modified and applied a two-stage time-integration technique that includes the stage of basic computations and the filtering stage. This technique allows accurate convergent results at mesh refinement as well as significantly reduces the numerical anisotropy of solutions. We should mention that the approach suggested is very general and can be equally applied to any loading as well as for any space-discretization technique and any explicit or implicit time-integration method.

Original languageEnglish
Pages (from-to)2034-2045
Number of pages12
JournalComputer Physics Communications
Issue number7
StatePublished - Jul 2014


  • Acoustic waves
  • Explicit time integration
  • Finite elements
  • Numerical dispersion


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