@inproceedings{3de40427097c4493893a2a71df9571c2,
title = "Optimization Based Particle-Mesh Algorithm for High-Order and Conservative Scalar Transport",
abstract = "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.",
keywords = "Advection equation, Conservation, Hybridized discontinuous Galerkin, Lagrangian-Eulerian, Particle-mesh, PDE-constraints",
author = "Maljaars, {Jakob M.} and Labeur, {Robert Jan} and Trask, {Nathaniel A.} and Sulsky, {Deborah L.}",
note = "Accepted Author Manuscript; 19th International Conference on Finite Elements in Flow Problems, FEF 2017 ; Conference date: 05-04-2017 Through 07-04-2017",
year = "2020",
doi = "10.1007/978-3-030-30705-9_23",
language = "English",
isbn = "9783030307042",
series = "Lecture Notes in Computational Science and Engineering",
publisher = "SpringerOpen",
pages = "265--275",
editor = "{van Brummelen}, Harald and Alessandro Corsini and Simona Perotto and Gianluigi Rozza",
booktitle = "Numerical Methods for Flows - FEF 2017 Selected Contributions",
}