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GPU‐accelerated simulation of a non‐local conservation law
Author(s) -
Göttlich Simone,
Müller Jann,
Weissen Jennifer
Publication year - 2021
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.202000114
Subject(s) - haskell , conservation law , computation , computer science , finite volume method , flow (mathematics) , mathematical optimization , computational science , parallel computing , theoretical computer science , algorithm , mathematics , functional programming , physics , mechanics , mathematical analysis
The model under consideration is a non‐local conservation law in two space dimensions that might be used to model material or pedestrian flow. We accelerate the simulation of the non‐local model using parallelization of the non‐local terms in the programming language Haskell. The implementation allows for the computation of the solution to the conservation law with a finite volume method at reasonable computational cost even for large domains and fine discretizations.