On the similarity between Dirichlet-Neumann with interface artificial compressibility and Robin-Neumann schemes for the solution of fluid-structure interaction problems

DOI10.1016/j.jcp.2011.05.012zbMath1280.74012OpenAlexW2080882410MaRDI QIDQ654963

Joris Degroote

Publication date: 28 December 2011

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2011.05.012

zbMATH Keywords

finite volumefluid-structure interactionpartitionedDirichlet-Neumann schemeinterface artificial compressibilityRobin-Neumann scheme

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Finite volume methods applied to problems in fluid mechanics (76M12) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)

Related Items (12)

Wave-heat coupling in one-dimensional unbounded domains: artificial boundary conditions and an optimized Schwarz method ⋮ Generalized fictitious methods for fluid-structure interactions: analysis and simulations ⋮ Extending the robustness and efficiency of artificial compressibility for partitioned fluid-structure interactions ⋮ Partitioned algorithms for fluid-structure interaction problems in haemodynamics ⋮ A non‐iterative domain decomposition method for the interaction between a fluid and a thick structure ⋮ The cardiovascular system: Mathematical modelling, numerical algorithms and clinical applications ⋮ A Robin‐Neumann scheme with quasi‐Newton acceleration for partitioned fluid‐structure interaction ⋮ A stable added-mass partitioned (AMP) algorithm for elastic solids and incompressible flow ⋮ Partitioned simulation of fluid-structure interaction. Coupling black-box solvers with quasi-Newton techniques ⋮ A complementary study of analytical and computational fluid-structure interaction ⋮ Refactorization of Cauchy's method: a second-order partitioned method for fluid-thick structure interaction problems ⋮ Stability and Convergence Analysis of the Extensions of the Kinematically Coupled Scheme for the Fluid-Structure Interaction

Cites Work

• Fluid-structure partitioned procedures based on Robin transmission conditions
• An arbitrary Lagrangian-Eulerian finite volume method for the simulation of rotary displacement pump flow
• Analysis and Optimization of Robin–Robin Partitioned Procedures in Fluid-Structure Interaction Problems
• An Effective Fluid-Structure Interaction Formulation for Vascular Dynamics by Generalized Robin Conditions
• Simulation of fluid–structure interaction with the interface artificial compressibility method

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