Finite element developments for general fluid flows with structural interactions

By Klaus-Jürgen Bathe, Hou Zhang. 2004

300 citations recorded by the source corpus.

Subfields: Computational Mechanics, Control and Systems Engineering

View Paper: https://www.semanticscholar.org/paper/09e9350a50536e2d00186530c5c1e932c5f6bed5

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In Computational Mechanics

In Control and Systems Engineering

Citations in the corpus

Stabilization of explicit coupling in fluid-structure interaction involving fluid incompressibility (2009, background): “The fluid is described by the Stokes equations, in a fixed domain Ωf ⊂ Rd, d = 2, 3, and the structure by the classical linear elasticity equations, in the solid domain Ωs ⊂ Rd.”
Modelling and simulation of porous immersed boundaries (2009, background): “Direct comparisons to other more standard numerical methods for fluid structure interaction such as [3] will also be undertaken, and benchmark problems such as those reported in [2] will be instrumental in demonstrating the practical value of our approach.”
Effect of baffles on a partially filled cubic tank: Numerical simulation and experimental validation (2009, methodology): “Fluid model is simulated as an incompressible and inviscid fluid using 3D fluid elements [22–25].”
On a composite implicit time integration procedure for nonlinear dynamics (2005, background): “We note that F depends on the displacements and time, whereas we assume M and C to be constant (an assumption that can be removed) [1].”
Performance of partitioned procedures in fluid-structure interaction (2010, methodology): “The former signifies that both the flow equations and structural equations are solved simultaneously [12, 13] while the latter means that they are solved separately.”
Stability of a coupling technique for partitioned solvers in FSI applications (2008, unknown): “On the other hand, the monolithic approach nowadays requires the use of a dedicated code [7], whereas the partitioned approach allows the reuse of existing codes as long as the solvers for flow and structure are treated as black boxes.”
Performance of a new partitioned procedure versus a monolithic procedure in fluid-structure interaction (2009, background): “When the flow problem and the structural probl em are not discretized in the same way on the fluid-structure interf ace, the ’consistent’ transfer of variables between both discretizations is requ i d [14, 33].”