A novel approach to fluid-structure interaction simulations involving large translation and contact. (English) Zbl 1501.65072
van Brummelen, Harald (ed.) et al., Isogeometric analysis and applications 2018. Selected papers based on the presentations at the third conference, IGAA 2018, Delft, The Netherlands, April 23–26, 2018. Cham: Springer. Lect. Notes Comput. Sci. Eng. 133, 39-56 (2021).
Summary: In this work, we present a novel method for the mesh update in flow problems with moving boundaries, the phantom domain deformation mesh update method (PD-DMUM). The PD-DMUM is designed to avoid remeshing; even in the event of large, unidirectional displacements of boundaries. The method combines the concept of two mesh adaptation approaches: (1) The virtual ring shear-slip mesh update method (VR-SSMUM); and (2) the elastic mesh update method (EMUM). As in the VR-SSMUM, the PD-DMUM extends the fluid domain by a phantom domain; the PD-DMUM can thus locally adapt the element density. Combined with the EMUM, the PD-DMUM allows the consideration of arbitrary boundary movements. In this work, we apply the PD-DMUM in two test cases. Within the first test case, we validate the PD-DMUM in a 2D Poiseuille flow on a moving background mesh. Subsequently the fluid-structure interaction (FSI) problem serves as a proof of concept. Within the FSI problem, isogeometric analysis and NURBS-enhanced finite elements are employed to ensure an accurate description of the moving boundaries and a consistent coupling along the FSI boundary. Moreover, we stress the advantages of the novel method as compared to conventional mesh update approaches.
For the entire collection see [Zbl 1467.65001].
For the entire collection see [Zbl 1467.65001].
MSC:
| 65M60 | Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs |
| 65N50 | Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs |
| 65D07 | Numerical computation using splines |
| 74F10 | Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) |
| 74M15 | Contact in solid mechanics |
| 76D05 | Navier-Stokes equations for incompressible viscous fluids |
| 74S05 | Finite element methods applied to problems in solid mechanics |
| 76M10 | Finite element methods applied to problems in fluid mechanics |
| 35Q74 | PDEs in connection with mechanics of deformable solids |
| 35Q35 | PDEs in connection with fluid mechanics |
| 35R37 | Moving boundary problems for PDEs |
Keywords:
fluid-structure interaction; phantom domain deformation; moving boundaries; Poiseuille flow; contactReferences:
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