A second-order semi-lagrangian particle finite element method for fluid flows
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 alg...
| Authors: | , , , |
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| Format: | article |
| Publication Date: | 2019 |
| Country: | España |
| Institution: | Universitat Politècnica de Catalunya (UPC) |
| Repository: | UPCommons. Portal del coneixement obert de la UPC |
| Language: | English |
| OAI Identifier: | oai:upcommons.upc.edu:2117/179269 |
| Online Access: | https://hdl.handle.net/2117/179269 https://dx.doi.org/10.1007/s40571-019-00258-9 |
| Access Level: | Open access |
| Keyword: | Fluid mechanics Fluid dynamics FEM Particles PFEM Second-order Semi-Lagrangian Elements finits, Mètode dels Mecànica de fluids Dinàmica de fluids fluids Àrees temàtiques de la UPC::Enginyeria mecànica::Mecànica de fluids |
| Summary: | 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. |
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