Dynamic analysic of 2D fluid-solid interaction problems by an edge-based smoothed finite element method (ES-FEM)

Nguyen Thoi Trung, Phung Van Phuc, Nguyen Xuan Hung,
Journal of Science and Technology, 2011, Volumn 49, No 4A, pp 9-19

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Abstract

The  edge-based  smoothed  finite  element  method  (ES-FEM-T3)  using  triangular  elements  is extended  to  the  dynamic  analysis  of  2D  fluid-solid  interaction  problems  based  on  the  pressure-displacement  formulation.  The  gradient  smoothing  technique  based  on  the  smoothing  domains associated  with  the  edges  of  the  triangles  is  used  to  smooth  both  the  gradient  of  pressure  and gradient of displacement. This gradient smoothing technique can provide proper softening effect and thus improve significantly the accuracy of solution of coupled system.  Some numerical examples have been presented to illustrate the effectiveness of the ES-FEM-T3 compared with some existing methods for 2D fluid-solid interaction problems.

Keywords:  edge-based smoothed finite element method (ES-FEM), finite element method (FEM), fluid-solid interaction problems, gradient smoothing technique, dynamic analysis.