Partitioned Strong Coupling Algorithms for Fluid-Structure-Interaction

By Hermann G. Matthies, J. Steindorf. 2003

333 citations recorded by the source corpus.

Subfields: Computational Mechanics, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/c6b9cebf5297010e158b7fb3cab46af1e0d30620

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. G. Em Karniadakis
2. H. Baek
3. Ulrich Küttler
4. Iman Borazjani
5. Wolfgang A. Wall
6. Fotis Sotiropoulos
7. Liang Ge
8. Céline Grandmont

In Numerical Analysis

1. G. Em Karniadakis
2. H. Baek
3. Wolfgang A. Wall
4. Ulrich Küttler
5. Céline Grandmont
6. Jean-Frédéric Gerbeau
7. M. Fernández
8. Liang Ge

Citations in the corpus

• Curvilinear Immersed Boundary Method for Simulating Fluid Structure Interaction with Complex 3D Rigid Bodies (2008, background): “Examples of LC-FSI can be found in [24–26] while SC-FSI implementations can be found in [27,28], among others.”
• Fixed-point fluid–structure interaction solvers with dynamic relaxation (2008, methodology): “Other solvers suggested include a block-Newton solver with finite differenced off-diagonal blocks [25] and solvers based on vector extrapolation methods [26,37].”
• A Newton method using exact jacobians for solving fluid-structure coupling (2005, neutral): “…(cid:16)4 5 (cid:13) " (cid:0) (cid:22) %@BA &((cid:17) klv (cid:2)(cid:20) (cid:17) = C (cid:20) klv (cid:18)(cid:17)(cid:20)(cid:19)(cid:22)(cid:21) (cid:24)(cid:23) (cid:26)(cid:25) (cid:27)(cid:17)(cid:20)(cid:19)(cid:22)(cid:21) (cid:1) (cid:28)(cid:23) (cid:29)(cid:25)…”
• Partitioned solver for strongly coupled fluid–structure interaction (2013, methodology): “[63] Stabilized FEM FEM Wall [64] Stabilized FEM FEM Matthies and Steindorf [65] FVM FEM”
• A projection semi‐implicit scheme for the coupling of an elastic structure with an incompressible fluid (2007, methodology): “Inexact Newton methods are addressed in [33, 35, 47, 31] by using finite difference approximations of the Jacobian, in [47, 48, 25, 26, 31] by replacing the coupled tangent operator by a simpler linear operator and, applied to complex geometries in [27].”
• A convergence study of a new partitioned fluid-structure interaction algorithm based on fictitious mass and damping (2012, methodology): “Also, variants of the Newton method that avoid expensive Jacobian calculations have been proposed in [23,24].”