A n-sided polygonal edge-based smoothed fem (nES-FEM) for dynamic analyses of 2D fluid-solid interaction problems

Phung Van Phuc, Nguyen Thoi Trung,
Journal of Science and Technology, 2011, Volumn 49, No 4A, pp 135-145

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Abstract

A n-sided polygonal edge-based smoothed FEM (nES-FEM) is extended to the dynamic analysis of 2D  fluid-solid  interaction  problems  based  on  the  pressure-displacement  formulation.  The  gradient smoothing  technique  based  on  smoothing  domains  associated  with  edges  of  the  polygonal  is  used  to smooth both  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  are  presented  to  illustrate  the  effectiveness  of  the  nES-FEM compared with some existing methods for 2D fluid-solid interaction problems.

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