A Stable Added-Mass Partitioned (AMP) Algorithm for Elastic Solids and Incompressible Flow: Model Problem Analysis

DOI10.1137/18M1232358zbMath1482.65198arXiv1812.03192OpenAlexW2966715665MaRDI QIDQ5230656

D. A. Serino, Jeffrey W. Banks, Donald W. Schwendeman, William D. Henshaw

Publication date: 28 August 2019

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1812.03192

zbMATH Keywords

fluid-structure interactionelastic solidsincompressible Navier-Stokespartitioned schemesadded-mass

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Spectral methods applied to problems in fluid mechanics (76M22) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Spectral and related methods applied to problems in solid mechanics (74S25) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)

Related Items (10)

A split-step finite-element method for incompressible Navier-Stokes equations with high-order accuracy up-to the boundary ⋮ Local Compatibility Boundary Conditions for High-Order Accurate Finite-Difference Approximations of PDEs ⋮ Fourth-order accurate fractional-step IMEX schemes for the incompressible Navier-Stokes equations on moving overlapping grids ⋮ Fractional-step finite difference schemes for incompressible elasticity on overset grids ⋮ A stable loosely-coupled scheme for cardiac electro-fluid-structure interaction ⋮ Numerical methods for fourth-order PDEs on overlapping grids with application to Kirchhoff-Love plates ⋮ A stable added-mass partitioned (AMP) algorithm for elastic solids and incompressible flow ⋮ Refactorization of Cauchy's method: a second-order partitioned method for fluid-thick structure interaction problems ⋮ A Stable Added-Mass Partitioned (AMP) Algorithm for Elastic Solids and Incompressible Flow: Model Problem Analysis ⋮ Semi-implicit fluid-structure interaction in biomedical applications

Cites Work

• Unnamed Item
• Unnamed Item
• An analysis of a new stable partitioned algorithm for FSI problems. Part II: Incompressible flow and structural shells
• An analysis of a new stable partitioned algorithm for FSI problems. I: Incompressible flow and elastic solids
• Fully decoupled time-marching schemes for incompressible fluid/thin-walled structure interaction
• Numerical methods for solid mechanics on overlapping grids: linear elasticity
• Deforming composite grids for solving fluid structure problems
• Robin-Robin preconditioned Krylov methods for fluid-structure interaction problems
• Extended ALE method for fluid-structure interaction problems with large structural displacements
• Inexact accurate partitioned algorithms for fluid-structure interaction problems with finite elasticity in haemodynamics
• A stable partitioned FSI algorithm for incompressible flow and deforming beams
• Fixed-point fluid-structure interaction solvers with dynamic relaxation
• Fluid-structure partitioned procedures based on Robin transmission conditions
• A higher-order discontinuous Galerkin/arbitrary Lagrangian Eulerian partitioned approach to solving fluid-structure interaction problems with incompressible, viscous fluids and elastic structures
• A stable partitioned FSI algorithm for rigid bodies and incompressible flow. I: Model problem analysis
• A stable partitioned FSI algorithm for rigid bodies and incompressible flow. II: General formulation
• Parallel coupling numerics for partitioned fluid-structure interaction simulations
• A stable partitioned FSI algorithm for rigid bodies and incompressible flow in three dimensions
• An added-mass partition algorithm for fluid-structure interactions of compressible fluids and nonlinear solids
• Explicit Robin-Neumann schemes for the coupling of incompressible fluids with thin-walled structures
• Generalized Robin-Neumann explicit coupling schemes for incompressible fluid-structure interaction: Stability analysis and numerics
• Analysis and Optimization of Robin–Robin Partitioned Procedures in Fluid-Structure Interaction Problems
• A Stable Added-Mass Partitioned (AMP) Algorithm for Elastic Solids and Incompressible Flow: Model Problem Analysis
• A Normal Mode Stability Analysis of Numerical Interface Conditions for Fluid/Structure Interaction

This page was built for publication: A Stable Added-Mass Partitioned (AMP) Algorithm for Elastic Solids and Incompressible Flow: Model Problem Analysis