R-adaptive algorithms for supersonic flows with high-order Flux Reconstruction methods

Adaptive mesh refinement; Cartesian meshes; Flux Reconstruction; Hypersonic flows; r-AMR; Spring analogy; Adaptive mesh refinement algorithms; Cartesian mesh; Flux reconstruction; High-order; Higher-order; R-adaptive mesh refinement; Reconstruction method; Spring analogies; Hardware and Architecture; Physics and Astronomy (all); General Physics and Astronomy

Abstract :

[en] The present paper addresses the development and implementation of the first r-adaptive mesh refinement (r-AMR) algorithm for a high-order Flux Reconstruction solver. The r-refinement consists on nodal re-positioning while keeping the number of mesh nodes and their connectivity frozen. The developed algorithm is based on physics-driven spring-analogies, where the mesh can be seen as a network of fictitious springs. While AMR increases the local mesh density, the high-order Flux Reconstruction method potentially provides a more accurate detection of complex flow features over relatively coarser mesh, when compared to low-order methods. In this work, a concise overview of the Flux Reconstruction method and spring-based AMR techniques will be given, followed by some promising results of r-AMR applied to benchmark high-order steady-state supersonic flow simulations.

Disciplines :

Aerospace & aeronautics engineering

Author, co-author :

Ben Ameur, Firas ; Von Karman Institute for Fluid Dynamics, Sint-Genesius-Rode, Belgium ; Centre for Mathematical Plasma-Astrophysics, KU Leuven, Leuven, Belgium

Balis, Joachim ; Université de Liège - ULiège > Unités de recherche interfacultaires > Space sciences, Technologies and Astrophysics Research (STAR) ; Von Karman Institute for Fluid Dynamics, Sint-Genesius-Rode, Belgium

Vandenhoeck, Ray ; Von Karman Institute for Fluid Dynamics, Sint-Genesius-Rode, Belgium ; Department of Mechanical Engineering, KU Leuven, Leuven, Belgium

Lani, Andrea; Von Karman Institute for Fluid Dynamics, Sint-Genesius-Rode, Belgium ; Centre for Mathematical Plasma-Astrophysics, KU Leuven, Leuven, Belgium

Poedts, Stefaan; Centre for Mathematical Plasma-Astrophysics, KU Leuven, Leuven, Belgium ; Institute of Physics, University of Maria Curie-Skłodowska, Lublin, Poland

Language :

English

Title :

R-adaptive algorithms for supersonic flows with high-order Flux Reconstruction methods

Publication date :

2022

Journal title :

Computer Physics Communications

ISSN :

0010-4655

eISSN :

1879-2944

Publisher :

Elsevier B.V.

Volume :

276

Pages :

108373

Peer reviewed :

Peer Reviewed verified by ORBi

Additional URL :

https://www.sciencedirect.com/science/article/abs/pii/S0010465522000923?via%3Dihub

Funders :

FWO - Fonds Wetenschappelijk Onderzoek Vlaanderen

Funding text :

The research of Firas Ben Ameur and Ray Vandenhoeck is supported by SB PhD fellowship 1SC3519N and 1S19918N , respectively, of the FWO .

Available on ORBi :

since 20 November 2023

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