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A multi time-step partitioned approach for the coupling of SPH and FE methods for nonlinear FSI problems

Abstract : A method to couple smoothed particle hydrodynamics and finite elements methods for nonlinear transient fluid–structure interaction simulations by adopting different time-steps depending on the fluid or solid sub-domains is proposed. These developments were motivated by the need to simulate highly non-linear and sudden phenomena that take into acount solid impacts and hence require the use of explicit time integrators on both sub-domains (explicit Newmark for the solid and Runge–Kutta 2 for the fluid). However, due to critical time-step required for the stability of the explicit time integrators in, it becomes important to be able to integrate each sub-domain with a different time-step while respecting the features that a previously developed mono time-step coupling algorithm offered. For this matter, a dual-Schur decomposition method originally proposed for structural dynamics was considered, allowing to couple time integrators of the Newmark family with different time-steps with the use of Lagrange multipliers.
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Jorge Nunez Ramirez. A multi time-step partitioned approach for the coupling of SPH and FE methods for nonlinear FSI problems. Mechanics [physics.med-ph]. Université de Lyon, 2017. English. ⟨NNT : 2017LYSEI040⟩. ⟨tel-01977755⟩

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