A three-field smoothed formulation for partitioned fluid–structure interaction via nonlinear block-Gauss–Seidel procedure

Abstract

This article presents a three-field smoothed formulation for partitioned fluid–structure interaction problems. The cell-based smoothed finite element method (CS-FEM) is adopted to solve the Navier–Stoke equations under the arbitrary Lagrangian–Eulerian description. To do this, the number and numbering of smoothing cells are deployed in line with those of Gaussian points in each four-node quadrilateral element for smoothed Galerkin weak form. In the meantime, CS-FEM is directly applied to nonlinear solid dynamics. A simple post-smoothing algorithm is introduced to enhance the quality of the updated mesh. Nonlinear block-Gauss–Seidel procedure is subsequently employed for the coupling of all smoothed individual fields. Two popular examples are presented to demonstrate the applicability and robustness of the proposed methodology.

Additional information

Funding

This work is financially supported by the Shanghai Municipal Natural Science Foundation (19ZR1437200) and the National Natural Science Foundation of China (51508332).