Fluid-structure partitioned procedures based on Robin transmission conditions
Journal of Computational Physics
Coupling Biot and Navier-Stokes equations for modelling fluid-poroelastic media interaction
Journal of Computational Physics
Stable loosely-coupled-type algorithm for fluid-structure interaction in blood flow
Journal of Computational Physics
Journal of Computational Physics
Robin Based Semi-Implicit Coupling in Fluid-Structure Interaction: Stability Analysis and Numerics
SIAM Journal on Scientific Computing
SIAM Journal on Scientific Computing
Two-Level Newton and Hybrid Schwarz Preconditioners for Fluid-Structure Interaction
SIAM Journal on Scientific Computing
Fluid-structure interactions using different mesh motion techniques
Computers and Structures
SIAM Journal on Numerical Analysis
Parallel Algorithms for Fluid-Structure Interaction Problems in Haemodynamics
SIAM Journal on Scientific Computing
Fluid-structure interaction in blood flow capturing non-zero longitudinal structure displacement
Journal of Computational Physics
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We discuss in this paper the numerical approximation of fluid-structure interaction (FSI) problems dealing with strong added-mass effect. We propose new semi-implicit algorithms based on inexact block-$LU$ factorization of the linear system obtained after the space-time discretization and linearization of the FSI problem. As a result, the fluid velocity is computed separately from the coupled pressure-structure velocity system at each iteration, reducing the computational cost. We investigate explicit-implicit decomposition through algebraic splitting techniques originally designed for the FSI problem. This approach leads to two different families of methods which extend to FSI the algebraic pressure correction method and the Yosida method, two schemes that were previously adopted for pure fluid problems. Furthermore, we have considered the inexact factorization of the fluid-structure system as a preconditioner. The numerical properties of these methods have been tested on a model problem representing a blood-vessel system.