A second-order semi-lagrangian particle finite element method for fluid flows
| Autor: | Prashanth Nadukandi, Julio García-Espinosa, Borja Servan-Camas, Jonathan Colom-Cobb |
|---|---|
| Přispěvatelé: | Universitat Politècnica de Catalunya. Departament de Ciència i Enginyeria Nàutiques, Universitat Politècnica de Catalunya. GMNE - Grup de Mètodes Numèrics en Enginyeria |
| Jazyk: | angličtina |
| Rok vydání: | 2019 |
| Předmět: |
0211 other engineering and technologies
Computational Mechanics Elements finits Mètode dels 02 engineering and technology 01 natural sciences Least squares law.invention PFEM Fluid dynamics law Convergence (routing) Mecànica de fluids Applied mathematics Fluid mechanics Second-order 0101 mathematics Trajectory (fluid mechanics) 021101 geological & geomatics engineering Civil and Structural Engineering Mathematics ComputingMethodologies_COMPUTERGRAPHICS Fluid Flow and Transfer Processes Numerical Analysis FEM Finite element method 010101 applied mathematics Computational Mathematics Particles Projector Modeling and Simulation Dinàmica de fluids Compressibility Verlet integration fluids Interpolation Semi-Lagrangian Enginyeria mecànica::Mecànica de fluids [Àrees temàtiques de la UPC] |
| Zdroj: | UPCommons. Portal del coneixement obert de la UPC Universitat Politècnica de Catalunya (UPC) |
| Popis: | 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. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|