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Extending the cell‐based smoothed finite element method into strongly coupled fluid–thermal–structure interaction
Author(s) -
He Tao
Publication year - 2021
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/fld.4928
Subject(s) - finite element method , mathematics , discretization , nonlinear system , fluid–structure interaction , compressibility , mathematical analysis , smoothing , fluid dynamics , mechanics , physics , statistics , quantum mechanics , thermodynamics
This work generalizes the cell‐based smoothed finite element method (CS‐FEM) into fluid–thermal–structure interaction (FTSI) analysis under the arbitrary Lagrangian–Eulerian description. The thermal buoyancy is included with the incompressible Navier–Stokes equations through the Boussinesq approximation. The combined fluid flow and energy equations are solved by a smoothed characteristics‐based split algorithm that incorporates equal low‐order interpolations for the three primitive variables. The structural motions involving both oscillating rigid and flexible bodies are advanced by the generalized‐ α method. Moreover, the nonlinear elastodynamics equations discretized with the CS‐FEM are linearized by the modified Newton–Raphson method. An efficient two‐level mesh updating scheme is subsequently discussed to account for large structural displacement and finite solid deformation. The cell‐based smoothing concept is then adopted to evaluate fluid forces acting on the immersed structure. The smoothed FTSI system is iteratively solved by the block‐Gauss–Seidel procedure. Transient FTSI examples are tested to demonstrate the effectiveness and robustness of the CS‐FEM.