Comptes Rendus Mathématique · 2013 · 14 citations · 8 references
EngineeringMechanical EngineeringPhysicsComputational Fluid DynamicsFluid DynamicsFluid MechanicsBoundary Layer EffectsBoundary-layer TheoryCompressible FlowFluid-structure InteractionIncompressible FlowMoving Boundary ProblemsComputational Fluid-structure InteractionCoupled Fluid-structure DynamicsCoupled Fluid-structure InteractionIncompressible Computational Fluid DynamicsIncompressible Navier-stokes EquationsReduced-order Modeling For Fluid-structure InteractionThin-walled Structures
In this note we propose a class of fully decoupled schemes (velocity–pressure–displacement splitting) for the coupling of an incompressible fluid with a thin-walled structure. The time splitting is achieved by combining an overall fractional-step time-marching of the system with a specific Robin–Neumann treatment of the interface coupling. The two variants considered yield unconditional stability. Numerical experiments in a benchmark show that, for one of them, the splitting does not compromises the optimal convergence rate.
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Miguel A. Fernández, Jean-Frédéric Gerbeau, Céline Grandmont · International Journal for Numerical Methods in Engineering · 2006 · 273 citations · Full text