An application of the ES-FEM in solid domain for dynamic analysis of 2D fluid-solid interaction problems

T. Nguyen-Thoi, P. Phung-Van, Timon Rabczuk, H. Nguyen-Xuan, C. Le-Van

Research output: Contribution to journalArticle

34 Citations (Scopus)


An edge-based smoothed finite element method (ES-FEM-T3) using triangular elements was recently proposed to improve the accuracy and convergence rate of the existing standard finite element method (FEM) for the solid mechanics analyses. In this paper, the ES-FEM-T3 is further extended to the dynamic analysis of 2D fluid-solid interaction problems based on the pressure-displacement formulation. In the present coupled method, both solid and fluid domain is discretized by triangular elements. In the fluid domain, the standard FEM is used, while in the solid domain, we use the ES-FEM-T3 in which the gradient smoothing technique based on the smoothing domains associated with the edges of triangles is used to smooth the gradient of displacement. This gradient smoothing technique can provide proper softening effect, and thus improve significantly the solution of coupled system. Some numerical examples have been presented to illustrate the effectiveness of the proposed coupled method compared with some existing methods for 2D fluid-solid interaction problems.

Original languageEnglish
Article number13400033
JournalInternational Journal of Computational Methods
Issue number1
Publication statusPublished - 2013 Feb 1
Externally publishedYes



  • dynamic analysis
  • edge-based smoothed finite element method (ES-FEM)
  • finite element method (FEM)
  • fluid-solid interaction problems
  • gradient smoothed
  • Numerical methods

ASJC Scopus subject areas

  • Computer Science (miscellaneous)
  • Computational Mathematics

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