Print Email Facebook Twitter LEOPART Title LEOPART: A particle library for FENICS Author Maljaars, J.M. (TU Delft Rivers, Ports, Waterways and Dredging Engineering; CRUX ENGINEERING) Richardson, Chris N. (University of Cambridge) Sime, Nathan (Carnegie Institution for Science) Date 2021 Abstract This paper introduces LEOPART, an add-on for the open-source finite element software library FENICS to seamlessly integrate Lagrangian particle functionality with (Eulerian) mesh-based finite element (FE) approaches. LEOPART- which is so much as to say: ‘Lagrangian–Eulerian on Particles’ - contains tools for efficient, accurate and scalable advection of Lagrangian particles on simplicial meshes. In addition, LEOPART comes with several projection operators for exchanging information between the scattered particles and the mesh and vice versa. These projection operators are based on a variational framework, which allows extension to high-order accuracy. In particular, by implementing a dedicated PDE-constrained particle–mesh projection operator, LEOPART provides all the tools for diffusion-free advection, while simultaneously achieving optimal convergence and ensuring conservation of the projected particle quantities on the underlying mesh. A range of numerical examples that are prototypical to passive and active tracer methods highlight the properties and the parallel performance of the different tools in LEOPART. Lastly, future developments are identified. The source code for LEOPART is actively maintained and available under an open-source license at https://bitbucket.org/jakob_maljaars/leopart. Subject FENICSFinite elementsOpen-source softwareParticle trackingParticle-in-cellPDE-constrained optimization To reference this document use: http://resolver.tudelft.nl/uuid:2d417720-d9fc-4979-913a-67edc75239bd DOI https://doi.org/10.1016/j.camwa.2020.04.023 ISSN 0898-1221 Source Computers & Mathematics with Applications, 81, 289-315 Part of collection Institutional Repository Document type journal article Rights © 2021 J.M. Maljaars, Chris N. Richardson, Nathan Sime Files PDF 1_s2.0_S089812212030170X_main.pdf 3.04 MB Close viewer /islandora/object/uuid:2d417720-d9fc-4979-913a-67edc75239bd/datastream/OBJ/view