A three-field smoothed formulation for partitioned fluid–structure interaction via nonlinear block-Gauss–Seidel procedure. (4th March 2019)

• Record Type: Journal Article
• Authors: He, Tao; Wang, Tong
• Is Part Of: Numerical heat transfer. Volume 75:Number 3(2019)
• Page Start: 198
• Page End: 216
• Publication Date: 2019-03-04
• Subjects: Heat -- Transmission -- Measurement -- Periodicals; Mass transfer -- Measurement -- Periodicals; Numerical analysis -- Periodicals; Heat -- Transmission -- Periodicals; Mass transfer -- Periodicals; 621.4022
• DOI: 10.1080/10407790.2019.1615786
• Languages: English
• ISSNs: 1040-7790

Abstract

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.