A second-order semi-lagrangian particle finite element method for fluid flows
Rights accessOpen Access
All rights reserved. This work is protected by the corresponding intellectual and industrial property rights. Without prejudice to any existing legal exemptions, reproduction, distribution, public communication or transformation of this work are prohibited without permission of the copyright holder
In this paper, a second-order SL-PFEM scheme for solving the incompressible Navier–Stokes equations is presented. This scheme is based on the second-order velocity Verlet algorithm, which uses an explicit integration for the particle’s trajectory and an implicit integration for the velocity. The algorithm is completed with a predictor–multicorrector scheme for the integration of the velocity correction using the finite element method. A second-order projector based on least squares is used to transfer the intrinsic variable information from the particles to the background mesh, while a second-order interpolation scheme is used to transfer the accelerations from the mesh to the particles. Convergence analyses are carried out to assess the second-order convergence.
CitationColom, J. [et al.]. A second-order semi-lagrangian particle finite element method for fluid flows. "Computational particle mechanics", 1 Gener 2019.