Modeling of fluid–structure interactions with the space–time finite elements: contact problems

2008 ◽  
Vol 43 (1) ◽  
pp. 51-60 ◽  
Author(s):  
Sunil Sathe ◽  
Tayfun E. Tezduyar
Keyword(s):  
Finite Elements ◽  
Contact Problems ◽  
Space Time ◽  
Fluid Structure Interactions ◽  
Fluid Structure

Modelling of fluid–structure interactions with the space–time finite elements: Arterial fluid mechanics

2007 ◽  
Vol 54 (6-8) ◽  
pp. 901-922 ◽  
Author(s):  
Tayfun E. Tezduyar ◽  
Sunil Sathe ◽  
Timothy Cragin ◽  
Bryan Nanna ◽  
Brian S. Conklin ◽  
...  
Keyword(s):  
Finite Elements ◽  
Fluid Mechanics ◽  
Space Time ◽  
Fluid Structure Interactions ◽  
Fluid Structure

Wall shear stress calculations in space–time finite element computation of arterial fluid–structure interactions

2009 ◽  
Vol 46 (1) ◽  
pp. 31-41 ◽  
Author(s):  
Kenji Takizawa ◽  
Creighton Moorman ◽  
Samuel Wright ◽  
Jason Christopher ◽  
Tayfun E. Tezduyar
Keyword(s):  
Finite Element ◽  
Shear Stress ◽  
Wall Shear Stress ◽  
Space Time ◽  
Fluid Structure Interactions ◽  
Fluid Structure ◽  
Element Computation ◽  
Wall Shear ◽  
Finite Element Computation

scholarly journals A Nitsche-based formulation for fluid-structure interactions with contact

2020 ◽  
Vol 54 (2) ◽  
pp. 531-564
Author(s):  
Erik Burman ◽  
Miguel A. Fernández ◽  
Stefan Frei
Keyword(s):  
Contact Surface ◽  
Solid Mechanics ◽  
Contact Problems ◽  
Joint Interface ◽  
Fluid Structure Interactions ◽  
Contact Conditions ◽  
Fluid Structure ◽  
Interface Contact ◽  
Numer Anal ◽  
Fully Eulerian Approach

We derive a Nitsche-based formulation for fluid-structure interaction (FSI) problems with contact. The approach is based on the work of Chouly and Hild (SIAM J. Numer. Anal. 51 (2013) 1295–1307) for contact problems in solid mechanics. We present two numerical approaches, both of them formulating the FSI interface and the contact conditions simultaneously in equation form on a joint interface-contact surface Γ(t). The first approach uses a relaxation of the contact conditions to allow for a small mesh-dependent gap between solid and wall. The second alternative introduces an artificial fluid below the contact surface. The resulting systems of equations can be included in a consistent fashion within a monolithic variational formulation, which prevents the so-called “chattering” phenomenon. To deal with the topology changes in the fluid domain at the time of impact, we use a fully Eulerian approach for the FSI problem. We compare the effect of slip and no-slip interface conditions and study the performance of the method by means of numerical examples.

Space-time finite element computation of complex fluid-structure interactions

2010 ◽  
Vol 64 (10-12) ◽  
pp. 1201-1218 ◽  
Author(s):  
Tayfun E. Tezduyar ◽  
Kenji Takizawa ◽  
Creighton Moorman ◽  
Samuel Wright ◽  
Jason Christopher
Keyword(s):  
Finite Element ◽  
Space Time ◽  
Fluid Structure Interactions ◽  
Fluid Structure ◽  
Element Computation ◽  
Complex Fluid ◽  
Finite Element Computation
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