A python framework for solving advection-diffusion problems

Andreas Dedner; Robert Klöfkorn

doi:10.1007/978-3-030-43651-3_66

A python framework for solving advection-diffusion problems

Research output: Chapter in Book/Report/Conference proceeding › Paper in conference proceeding › peer-review

Abstract

This paper discusses a Python interface for the recently published Dune-Fem-DG module which provides highly efficient implementations of the Discontinuous Galerkin (DG) method for solving a wide range of non linear partial differential equations (PDE). Although the C++ interfaces of Dune-Fem-DG are highly flexible and customizable, a solid knowledge of C++ is necessary to make use of this powerful tool. With this work easier user interfaces based on Python and the Unified Form Language are provided to open Dune-Fem-DG for a broader audience. The Python interfaces are demonstrated for both parabolic and first order hyperbolic PDEs.

Original language	English
Title of host publication	Finite Volumes for Complex Applications IX
Subtitle of host publication	Methods, Theoretical Aspects, Examples
Editors	Robert Klöfkorn, Eirik Keilegavlen, Florin A. Radu, Jürgen Fuhrmann
Publisher	Springer Nature
Pages	695-703
Number of pages	9
ISBN (Electronic)	978-3-030-43651-3
ISBN (Print)	9783030436506, 978-3-030-43652-0
DOIs	https://doi.org/10.1007/978-3-030-43651-3_66
Publication status	Published - 2020
Externally published	Yes
Event	9th International Symposium on Finite Volumes for Complex Applications, FVCA 2020 - Bergen, Norway Duration: 2020 Jun 15 → 2020 Jun 19

Publication series

Name	Springer Proceedings in Mathematics and Statistics
Volume	323
ISSN (Print)	2194-1009
ISSN (Electronic)	2194-1017

Conference

Conference	9th International Symposium on Finite Volumes for Complex Applications, FVCA 2020
Country/Territory	Norway
City	Bergen
Period	2020/06/15 → 2020/06/19

Subject classification (UKÄ)

Computational Mathematics

Free keywords

Discontinuous Galerkin
Dune
Dune-Fem
Finite volume
Python

Access to Document

10.1007/978-3-030-43651-3_66

Cite this

Dedner, A., & Klöfkorn, R. (2020). A python framework for solving advection-diffusion problems. In R. Klöfkorn, E. Keilegavlen, F. A. Radu, & J. Fuhrmann (Eds.), Finite Volumes for Complex Applications IX: Methods, Theoretical Aspects, Examples (pp. 695-703). (Springer Proceedings in Mathematics and Statistics; Vol. 323). Springer Nature. https://doi.org/10.1007/978-3-030-43651-3_66

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title = "A python framework for solving advection-diffusion problems",

abstract = "This paper discusses a Python interface for the recently published Dune-Fem-DG module which provides highly efficient implementations of the Discontinuous Galerkin (DG) method for solving a wide range of non linear partial differential equations (PDE). Although the C++ interfaces of Dune-Fem-DG are highly flexible and customizable, a solid knowledge of C++ is necessary to make use of this powerful tool. With this work easier user interfaces based on Python and the Unified Form Language are provided to open Dune-Fem-DG for a broader audience. The Python interfaces are demonstrated for both parabolic and first order hyperbolic PDEs.",

keywords = "Discontinuous Galerkin, Dune, Dune-Fem, Finite volume, Python",

author = "Andreas Dedner and Robert Kl{\"o}fkorn",

year = "2020",

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language = "English",

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series = "Springer Proceedings in Mathematics and Statistics",

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booktitle = "Finite Volumes for Complex Applications IX",

address = "United States",

note = "9th International Symposium on Finite Volumes for Complex Applications, FVCA 2020 ; Conference date: 15-06-2020 Through 19-06-2020",

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Dedner, A & Klöfkorn, R 2020, A python framework for solving advection-diffusion problems. in R Klöfkorn, E Keilegavlen, FA Radu & J Fuhrmann (eds), Finite Volumes for Complex Applications IX: Methods, Theoretical Aspects, Examples. Springer Proceedings in Mathematics and Statistics, vol. 323, Springer Nature, pp. 695-703, 9th International Symposium on Finite Volumes for Complex Applications, FVCA 2020, Bergen, Norway, 2020/06/15. https://doi.org/10.1007/978-3-030-43651-3_66

A python framework for solving advection-diffusion problems. / Dedner, Andreas; Klöfkorn, Robert.
Finite Volumes for Complex Applications IX: Methods, Theoretical Aspects, Examples. ed. / Robert Klöfkorn; Eirik Keilegavlen; Florin A. Radu; Jürgen Fuhrmann. Springer Nature, 2020. p. 695-703 (Springer Proceedings in Mathematics and Statistics; Vol. 323).

Research output: Chapter in Book/Report/Conference proceeding › Paper in conference proceeding › peer-review

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A python framework for solving advection-diffusion problems

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Free keywords

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