An operator splitting strategy for fluid-structure interaction problems with thin elastic structures in an incompressible Newtonian flow

DOI10.1016/j.aml.2018.01.001zbMath1458.74137OpenAlexW2782894978MaRDI QIDQ1749462

Aymen Laadhari

Publication date: 16 May 2018

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2018.01.001

zbMATH Keywords

Navier-Stokes equationsfinite element methodNewton methodMooney-Rivlin materialembedded interface

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Finite element methods applied to problems in solid mechanics (74S05)

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Cites Work

• A short note on Navier-Stokes flows with an incompressible interface and its approximations
• An immersed boundary method for simulating the dynamics of three-dimensional axisymmetric vesicles in Navier-Stokes flows
• A modification of Newton method with third-order convergence
• An immersed interface method for solving incompressible viscous flows with piecewise constant viscosity across a moving elastic membrane
• A numerical method for the simulation of free surface flows with surface tension
• Fully implicit methodology for the dynamics of biomembranes and capillary interfaces by combining the level set and Newton methods
• A level-set formulation of immersed boundary methods for fluid--structure interaction problems
• A numerical model for the trans-membrane voltage of vesicles
• Exact Newton method with third-order convergence to model the dynamics of bubbles in incompressible flow
• An immersed interface method for simulating the interaction of a fluid with moving boundaries
• The time-dependent deformation of a capsule freely suspended in a linear shear flow
• On the Volume Conservation of the Immersed Boundary Method

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