Dynamic analysic of 2D fluid-solid interaction problems by an alpha finite element method (alpha FEM)

Nguyen Ngoc Nhan, Phung Van Phuc, Nguyen Thoi Trung,
Journal of Science and Technology, 2011, Vol. 49, No 4A, pp 50-60

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An alpha finite element method using triangular elements (alpha FEM-T3) which combines both NSFEM-T3 and standard FEM-T3  by using scale factor alpha in [0,1] is extended to  the dynamic analysis of 2D  fluid-solid  interaction  problems  based  on  the  pressure-displacement  formulation.  The  gradient smoothing  technique  based  on  a  part  of  the  smoothing  domains  associated  with  the  nodes  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 alpha FEM-T3  (alpha=0.6) compared with some existing methods  for  2D  fluid-solid interaction problems.

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