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FLEXI: A high order discontinuous Galerkin framework for hyperbolic–parabolic conservation laws
FLEXI: یک چارچوب بالا و ناپیوسته گالرکین برای قوانین مربوط به حفاظت بیش از حد-پارابولیک-2020 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, opensource
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. Keywords: Discontinuous Galerkin | High order | Large eddy simulation | Computational fluid dynamics | Open-source software | Shock capturing |
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