Examinando por Autor "Herreros, M. I."

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Rigid body motion in viscous flows using the finite element method
(The American Institute of Physics: AIP Publishing, 2020-12-11) Herreros, M. I.; Lingüérzana, S.; Herreros, M. I. [0000-0001-5284-8060]; Lingüérzana, S. [0000-0002-5496-1291]; Unidad de Excelencia Científica Centro de Astrobiología del Instituto Nacional de Técnica Aeroespacial y CSIC, MDM-2017-0737
A new model for the numerical simulation of a rigid body moving in a viscous fluid flow using the finite element method is presented. One of the most interesting features of this approach is the small computational effort required to solve the motion of the rigid body, comparable to a pure fluid solver. The model is based on the idea of extending the fluid velocity inside the rigid body and solving the flow equations with a penalty term to enforce rigid motion inside the solid. In order to get the velocity field in the fluid domain, the Navier–Stokes equations for an incompressible viscous flow are solved using a fractional-step procedure combined with the two-step Taylor–Galerkin algorithm for the fractional linear momentum. Once the velocity field in the fluid domain is computed, calculation of the rigid motion is obtained by averaging translation and angular velocities over the solid. One of the main challenges when dealing with the fluid–solid interaction is the proper modeling of the interface that separates the solid moving mass from the viscous fluid. In this work, the combination of the level set technique and the two-step Taylor–Galerkin algorithm for tracking the fluid–solid interface is proposed. The characteristics exhibited by the two-step Taylor–Galerkin, minimizing oscillations and numerical diffusion, make this method suitable to accurately advect the solid domain, avoiding distortions at its boundaries and, thus, preserving the initial size and shape of the rigid body. The proposed model has been validated against empirical solutions, experimental data, and numerical simulations found in the literature. In all tested cases, the numerical results have shown to be accurate, proving the potential of the proposed model as a valuable tool for the numerical analysis of the fluid–solid interaction.
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Updated Lagrangian Taylor-SPH method for large deformation in dynamic problems
(Elsevier BV, 2020-04-05) Karim Serroukh, H.; Mabssout, M.; Herreros, M. I.; Herreros, M. I. [0000-0001-5284-8060]; Unidad de Excelencia Científica María de Maeztu Centro de Astrobiología del Instituto Nacional de Técnica Aeroespacial y CSIC, MDM-2017-0737
In this paper, the updated Lagrangian Taylor-SPH meshfree method is applied to the numerical analysis of large deformation and failure problems under dynamic conditions. The Taylor-SPH method is a meshfree collocation method developed by the authors over the past years. The governing equations, a set of first-order hyperbolic partial differential equations, are written in mixed form in terms of stress and velocity. This set of equations is first discretized in time by means of a Taylor series expansion in two steps and afterwards in space using a corrected form of the SPH method. Two sets of particles are used for the computation resulting on the elimination of the classical tensile instability. In the paper presented herein the authors propose an updated Lagrangian Taylor-SPH approach to address the large deformations of the solid, and therefore the continuous re-positioning of the particles. In order to illustrate the performance and efficiency of the proposed method, some numerical examples based on elastic and viscoplastic materials involving large deformations under dynamic conditions are solved using the proposed algorithm. Results clearly show that the updated Lagrangian Taylor-SPH method is an accurate tool to model large deformation and failure problems under dynamic loadings.