Added-mass effect in the design of partitioned algorithms for fluid-structure problems

By Paola Causin, Jean-Frédéric Gerbeau, Fabio Nobile. 2005

996 citations recorded by the source corpus.

Subfields: Computational Mechanics, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/9ff5c5022ecbb64cf2297bf7d455af5425cd6139

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In Computational Mechanics

In Numerical Analysis

Citations in the corpus

Stabilization of explicit coupling in fluid-structure interaction involving fluid incompressibility (2009, background): “Accordingly, let Wh ×Qh denote a conforming, inf-sup stable, finite element approximation of [H1(Ωf)]d × L2(Ωf), and Xh a conforming finite element approximation of [H1Γd(Ωs)] d.”
Partitioned solver for strongly coupled fluid–structure interaction (2013, background): “Many studies [14–15,18,20,23, 24,26–28] have shown that, the use of a fixed-point method with dynamic under-relaxation is highly efficient and easy to implement in partitioned approaches.”
Fixed-point fluid–structure interaction solvers with dynamic relaxation (2008, background): “However, as has been shown in [3,13], a weak coupling Dirichlet–Neumann scheme that couples a flexible structure to an incompressible fluid without subiteration will never be unconditionally stable.”
Truly monolithic algebraic multigrid for fluid–structure interaction (2011, positive): “The cause of this instability is the well-known artificial added mass effect, as shown in [2, 3].”
A convergence study of a new partitioned fluid-structure interaction algorithm based on fictitious mass and damping (2012, methodology): “In order to show the effect of fictitious mass and damping on the convergence of sub-iterations, we employ the mathematical analysis in [1,29], where a simplified equation describing mass-spring or string motion under external forces from fluid domains is used instead of the elastodynamic equations.”
Curvilinear Immersed Boundary Method for Simulating Fluid Structure Interaction with Complex 3D Rigid Bodies (2008, background): “(37) is similar to the stability condition found in [33,35] for an internal FSI problem of flow inside a domain with compliant walls.”
Modular vs. non-modular preconditioners for fluid-structure systems with large added-mass effect (2008, methodology): “To fulfill it, we consider the simplified fluid-structure model proposed in [9].”
Fluid-structure partitioned procedures based on Robin transmission conditions (2008, methodology): “In order to simplify the analysis, we consider the meaningful fluid–structure interaction (FSI) test problem suggested in [3] for the analysis of Dirichlet–Neumann and Neumann–Dirichlet algorithms, based on the simplified fluid model reported in Section 3.”
Stability of a coupling technique for partitioned solvers in FSI applications (2008, positive): “In section 5 and section 7, it is demonstrated that when the time step is decreased in a partitioned fluid-structure interaction simulation with black box solvers where the mass of the structure is negligible and the fluid is incompressible, the number of coupling iterations in a time step will incr”
Performance of a new partitioned procedure versus a monolithic procedure in fluid-structure interaction (2009, background): “the structure is strong due to a high fluid/structure density ratio or an incompressible fluid [23, 24].”
Stability of two IMEX methods, CNLF and BDF2-AB2, for uncoupling systems of evolution equations (2012, methodology): “Examples of partitioned methods include ones designed for fluid-structure interaction [3,4,7], Maxwell’s equations [23] and atmosphere-ocean coupling [8,10,9].”
A projection semi‐implicit scheme for the coupling of an elastic structure with an incompressible fluid (2007, background): “As mentioned in Section 2, this property is not featured by explicit coupling schemes, see [3].”
Performance of partitioned procedures in fluid-structure interaction (2010, background): “However, the iterations converge slow ly if at all, especially when the interaction between the fluid and the structure is st rong due to a high fluid/structure density ratio or the incompressibility of t he fluid [7].”