• LSCSE_2018

    Accepted author manuscript, 239 KB, PDF document


A particle-mesh strategy is presented for scalar transport problems which provides diffusion-free advection, conserves mass locally (i.e. cellwise) and exhibits optimal convergence on arbitrary polyhedral meshes. This is achieved by expressing the convective field naturally located on the Lagrangian particles as a mesh quantity by formulating a dedicated particle-mesh projection based via a PDE-constrained optimization problem. Optimal convergence and local conservation are demonstrated for a benchmark test, and the application of the scheme to mass conservative density tracking is illustrated for the Rayleigh–Taylor instability.
Original languageEnglish
Title of host publicationNumerical Methods for Flows - FEF 2017 Selected Contributions
EditorsHarald van Brummelen, Alessandro Corsini, Simona Perotto, Gianluigi Rozza
PublisherSpringer Open
Number of pages11
ISBN (Print)9783030307042
Publication statusPublished - 2020
Event19th International Conference on Finite Elements in Flow Problems, FEF 2017 - Rome, Italy
Duration: 5 Apr 20177 Apr 2017

Publication series

NameLecture Notes in Computational Science and Engineering
ISSN (Print)1439-7358
ISSN (Electronic)2197-7100


Conference19th International Conference on Finite Elements in Flow Problems, FEF 2017

    Research areas

  • Advection equation, Conservation, Hybridized discontinuous Galerkin, Lagrangian-Eulerian, Particle-mesh, PDE-constraints

ID: 71720602