Journal
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS
Volume 93, Issue 4, Pages 1269-1291Publisher
WILEY
DOI: 10.1002/fld.4928
Keywords
arbitrary Lagrangian-Eulerian; CS-FEM; fluid-thermal-structure interaction; partitioned strong coupling; smoothed finite element method; thermal buoyancy
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Funding
- Natural Science Foundation of Shanghai [19ZR1437200]
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This research extends the CS-FEM method to FTSI analysis, incorporating thermal buoyancy through the Boussinesq approximation and utilizing a combination of smoothed algorithms and two-level mesh updating schemes. The cell-based smoothing concept is adopted to evaluate fluid forces acting on the immersed structure, and the smoothed FTSI system is iteratively solved by the block-Gauss-Seidel procedure.
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-alpha 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.
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