A strongly coupled, embedded-boundary method for fluid–structure interactions of elastically mounted rigid bodies

2008 ◽  
Vol 24 (2) ◽  
pp. 167-182 ◽  
Author(s):  
J. Yang ◽  
S. Preidikman ◽  
E. Balaras
2021 ◽  
Vol 9 (12) ◽  
pp. 1375
Author(s):  
Nan Si ◽  
Zhaokuan Lu ◽  
Alan Brown

Solution of near-field underwater explosion (UNDEX) problems frequently require the modeling of two-way coupled fluid-structure interaction (FSI). This paper describes the addition of an embedded boundary method to an UNDEX modeling framework for multiphase, compressible and inviscid fluid using the combined algorithms of Runge-Kutta, discontinuous-Galerkin, level-set and direct ghost-fluid methods. A computational fluid dynamics (CFD) solver based on these algorithms has been developed as described in previous work. A fluid-structure coupling approach was required to perform FSI simulation interfacing with an external structural mechanics solver. Large structural deformation and possible rupture and cracking characterize the FSI phenomenon in an UNDEX, so the embedded boundary method (EBM) is more appealing for this application in comparison to dynamic mesh methods such as the arbitrary Lagrangian-Eulerian (ALE) method to enable the fluid-structure coupling algorithm in the fluid. Its limitation requiring a closed interface that is fully submerged in the fluid domain is relaxed by an adjustment described in this paper so that its applicability is extended. Two methods of implementing the fluid-structure wall boundary condition are also compared. The first solves a local 1D fluid-structure Riemann problem at each intersecting point between the wetted elements and fluid mesh. In this method, iterations are required when the Tait equation of state is utilized. A second method that does not require the Riemann solution and iterations is also implemented and the results are compared.


Author(s):  
Jianming Yang ◽  
Frederick Stern

In this paper, a direct forcing immersed boundary method is presented for the simple and efficient simulation of strongly coupled fluid-structure interaction. The previous formulation by Yang and Balaras (An embedded-boundary formulation for large-eddy simulation of turbulent flows interacting with moving boundaries, J. Comput. Phys. 215 (2006) 12–40) is greatly simplified without sacrificing the overall accuracy. The fluid-structure coupling scheme of Yang et al. (A strongly-coupled, embedded-boundary method for fluid-structure interactions of elastically mounted rigid bodies, J. Fluids Struct. 24 (2008) 167–182) is also significantly expedited without altering the strong coupling property. Several cases are examined and compared with the results from the previous formulations to demonstrate the accuracy, simplicity and efficiency of the new method.


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