Universität zu Köln

Krais, Nico, Beck, Andrea, Bolemann, Thomas, Frank, Hannes, Flad, David ORCID: 0000-0003-1155-9355, Gassner, Gregor ORCID: 0000-0002-1752-1158, Hindenlang, Florian, Hoffmann, Malte, Kuhn, Thomas, Sonntag, Matthias and Munz, Claus-Dieter (2021). FLEXI: A high order discontinuous Galerkin framework for hyperbolic-parabolic conservation laws. Comput. Math. Appl., 81. S. 186 - 220. OXFORD: PERGAMON-ELSEVIER SCIENCE LTD. ISSN 1873-7668

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Abstract

High order (HO) schemes are attractive candidates for the numerical solution of multiscale problems occurring in fluid dynamics and related disciplines. Among the HO discretization variants, discontinuous Galerkin schemes offer a collection of advantageous features which have lead to a strong increase in interest in them and related formulations in the last decade. The methods have matured sufficiently to be of practical use for a range of problems, for example in direct numerical and large eddy simulation of turbulence. However, in order to take full advantage of the potential benefits of these methods, all steps in the simulation chain must be designed and executed with HO in mind. Especially in this area, many commercially available closed-source solutions fall short. In this work, we therefore present the FLEXI framework, a HO consistent, open-source simulation tool chain for solving the compressible Navier-Stokes equations on CPU clusters. We describe the numerical algorithms and implementation details and give an overview of the features and capabilities of all parts of the framework. Beyond these technical details, we also discuss the important but often overlooked issues of code stability, reproducibility and user-friendliness. The benefits gained by developing an open-source framework are discussed, with a particular focus on usability for the open-source community. We close with sample applications that demonstrate the wide range of use cases and the expandability of FLEXI and an overview of current and future developments. (C) 2020 Elsevier Ltd. All rights reserved.

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Krais, Nico UNSPECIFIED UNSPECIFIED UNSPECIFIED Beck, Andrea UNSPECIFIED UNSPECIFIED UNSPECIFIED Bolemann, Thomas UNSPECIFIED UNSPECIFIED UNSPECIFIED Frank, Hannes UNSPECIFIED UNSPECIFIED UNSPECIFIED Flad, David UNSPECIFIED orcid.org/0000-0003-1155-9355 UNSPECIFIED Gassner, Gregor UNSPECIFIED orcid.org/0000-0002-1752-1158 UNSPECIFIED Hindenlang, Florian UNSPECIFIED UNSPECIFIED UNSPECIFIED Hoffmann, Malte UNSPECIFIED UNSPECIFIED UNSPECIFIED Kuhn, Thomas UNSPECIFIED UNSPECIFIED UNSPECIFIED Sonntag, Matthias UNSPECIFIED UNSPECIFIED UNSPECIFIED Munz, Claus-Dieter UNSPECIFIED UNSPECIFIED UNSPECIFIED
URN:	urn:nbn:de:hbz:38-579854
DOI:	10.1016/j.camwa.2020.05.004
Journal or Publication Title:	Comput. Math. Appl.
Volume:	81
Page Range:	S. 186 - 220
Date:	2021
Publisher:	PERGAMON-ELSEVIER SCIENCE LTD
Place of Publication:	OXFORD
ISSN:	1873-7668
Language:	English
Faculty:	Unspecified
Divisions:	Unspecified
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language NAVIER-STOKES EQUATIONS; LARGE-EDDY SIMULATION; FINITE-ELEMENT-METHOD; HIGH-RESOLUTION; WENO SCHEMES; FLOW; DIFFERENCE; ENTROPY; FORMULATION; VISCOSITY Multiple languages Mathematics, Applied Multiple languages
URI:	http://kups.ub.uni-koeln.de/id/eprint/57985