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