Artificial added mass instabilities in sequential staggered coupling of nonlinear structures and incompressible viscous flows

By C. Förster, Wolfgang A. Wall, Ekkehard Ramm. 2007

509 citations recorded by the source corpus.

Subfields: Computational Mechanics, Control and Systems Engineering

View Paper: https://www.semanticscholar.org/paper/15bee7693572fc4a7d5699c72eeb475523f2a743

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Computational Mechanics

1. Wolfgang A. Wall
2. G. Em Karniadakis
3. H. Baek
4. Michael W. Gee
5. Ulrich Küttler
6. Andrew L. Hazel
7. Iman Borazjani
8. Liang Ge

In Control and Systems Engineering

1. Axel Gerstenberger
2. Wolfgang A. Wall
3. Michael W. Gee
4. J. Boyle
5. G. Em Karniadakis
6. Ulrich Küttler
7. Matthias Heil
8. Andrew L. Hazel

Citations in the corpus

• An eXtended Finite Element Method/Lagrange multiplier based approach for fluid-structure interaction (2008, background): “In [15] it has been shown that such strong coupling schemes are necessary for such cases.”
• Stabilization of explicit coupling in fluid-structure interaction involving fluid incompressibility (2009, unknown): “…2 ttη −∇ · σs(η) = 0, in Ωs, η = 0, on Γd, σs(η)ns = 0, on Γn, (2) INRIA Stabilized explicit coupling in FSI with fluid incompressibility 5 satisfying the interface coupling conditions{ u = ∂tη, on Σ, σs(η)ns = −σ(u, p)n, on Σ, (3) and the initial conditions u(0) = u0, η(0) = η0 and ∂tη(0) = v0.”
• 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.”
• A convergence study of a new partitioned fluid-structure interaction algorithm based on fictitious mass and damping (2012, background): “However, when the density of the solid is comparable to that of the fluid as in hemodynamics, weak coupling may lead to instabilities unless special stabilization procedures are introduced [1,2,19,20].”
• Fixed-point fluid–structure interaction solvers with dynamic relaxation (2008, background): “[13,27].”
• Solvers for large-displacement fluid–structure interaction problems: segregated versus monolithic approaches (2008, background): “The alleged superiority of the latter approach is generally attributed to the fact that in a segregated scheme “smaller and better conditioned subsystems are solved instead of one overall problem” [ 1 ].”
• Truly monolithic algebraic multigrid for fluid–structure interaction (2011, background): “The cause of this instability is the well-known artificial added mass effect, as shown in [2, 3].”