Improved fractional step method for simulating fluid-structure interaction using the PFEM

DOI10.1002/nme.4727zbMath1352.74463OpenAlexW2170795476MaRDI QIDQ2952557

Minjie Zhu, Michael H. Scott

Publication date: 30 December 2016

Published in: International Journal for Numerical Methods in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/nme.4727

zbMATH Keywords

finite element methodsLagrangianincompressible flowfluid-structure interactionparticle methods

Mathematics Subject Classification ID

Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Finite element methods applied to problems in solid mechanics (74S05) Finite element methods applied to problems in fluid mechanics (76M10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Incompressible inviscid fluids (76Bxx)

Related Items (8)

A comparative study of interpolation algorithms on non-matching meshes for PFEM-FEM fluid-structure interactions ⋮ Improving accuracy of the moving grid particle finite element method via a scheme based on Strang splitting ⋮ Extending the particle finite element method for sediment transport simulation ⋮ A unified Lagrangian formulation for solid and fluid dynamics and its possibility for modelling submarine landslides and their consequences ⋮ A fully partitioned Lagrangian framework for FSI problems characterized by free surfaces, large solid deformations and displacements, and strong added-mass effects ⋮ An explicit-implicit finite element model for the numerical solution of incompressible Navier-Stokes equations on moving grids ⋮ Fast fluid-structure interaction simulations using a displacement-based finite element model equipped with an explicit streamline integration prediction ⋮ A unified arbitrary Lagrangian-Eulerian model for fluid-structure interaction problems involving flows in flexible channels

Uses Software

• SuperLU-DIST
• MUMPS
• CSparse

Cites Work

• An SPH projection method for simulating fluid-hypoelastic structure interaction
• A monolithic Lagrangian approach for fluid-structure interaction problems
• A comparison between the mini-element and the Petrov-Galerkin formulations for the generalized Stokes problem
• Fractional step like schemes for free surface problems with thermal coupling using the Lagrangian PFEM
• A stable finite element for the Stokes equations
• Incompressible flow computations with stabilized bilinear and linear equal-order-interpolation velocity-pressure elements
• Multifrontal parallel distributed symmetric and unsymmetric solvers
• Finite calculus formulations for finite element analysis of incompressible flows. Eulerian, ALE and Lagrangian approaches
• Unified Lagrangian formulation for elastic solids and incompressible fluids: application to fluid-structure interaction problems via the PFEM
• The challenge of mass conservation in the solution of free-surface flows with the fractional-step method: Problems and solutions
• Direct Methods for Sparse Linear Systems
• Fluid-structure interaction problems with strong added-mass effect
• Finite Element Methods for Navier-Stokes Equations
• Optimal Selection of the Bubble Function in the Stabilization of the P1-P1 Element for the Stokes Problem
• The fixed‐mesh ALE approach applied to solid mechanics and fluid–structure interaction problems
• SuperLU_DIST
• THE PARTICLE FINITE ELEMENT METHOD — AN OVERVIEW
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