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
scite shows how a scientific paper has been cited by providing the context of the citation, a classification describing whether it supports, mentions, or contrasts the cited claim, and a label indicating in which section the citation was made.
Ben Ameur, F., Lani, A., Comput. Phys. Commun., 261, 2021, 107700, 10.1016/j.cpc.2020.107700 https://www.sciencedirect.com/science/article/pii/S0010465520303441.
Cho, M., Jun, S., J. Comput. Phys. 199:1 (2004), 291–316, 10.1016/j.jcp.2004.02.007.
Premasuthan, S., Liang, C., Jameson, A., 48th AIAA Aerospace Sciences Meeting Including the New Horizons Forum and Aerospace Exposition, 2010, 10.2514/6.2010-1449.
Li, Y., Premasuthan, S., Jameson, A., 40th Fluid Dynamics Conference and Exhibit, 2010, 10.2514/6.2010-4435.
Woopen, M., Balan, A., May, G., Schütz, J., Comput. Fluids 98 (2014), 3–16, 10.1016/j.compfluid.2014.03.023.
Balan, A., Woopen, M., May, G., Comput. Fluids 139 (2016), 47–67, 10.1016/j.compfluid.2016.03.029.
Ekelschot, D., Moxey, D., Sherwin, S., Peiró, J., Comput. Struct. 181 (2017), 55–69, 10.1016/j.compstruc.2016.03.004.
Ben Ameur, F., Lani, A., AIAA Scitech 2019 Forum, AIAA 2019-1997, 2019, 10.2514/6.2019-1997.
Kimpe, D., Lani, A., Quintino, T., Poedts, S., Vandewalle, S., Di Martino, B., Kranzlmüller, D., Dongarra, J., (eds.) Recent Advances in Parallel Virtual Machine and Message Passing Interface, 2005, Springer Berlin Heidelberg, Berlin, Heidelberg, 520–527.
Lani, A., Villedie, N., Bensassi, K., Koloszar, L., Vymazal, M., Yalim, S.M., Panesi, M., 21st AIAA Computational Fluid Dynamics Conference, 2013, 2589.
Mena, J.G., Pepe, R., Lani, A., Deconinck, H., Commun. Comput. Phys. 17:3 (2015), 682–702.
Panesi, M., Lani, A., Magin, T., Molnar, J., Chazot, O., Deconinck, H., 18th AIAA Computational Fluid Dynamics Conference, 2007, 4317.
Santos, P.D., Lani, A., Comput. Phys. Commun. 202 (2016), 233–261.
Zhang, W., Lani, A., Panesi, M., Phys. Plasmas, 23(7), 2016, 073512.
Papen, A., Vandenhoeck, R., Development of an Implicit High-Order Flux Reconstruction Solver for Compressible Flows on Unstructured Grids. Master's thesis, 2017, KU Leuven.
This website uses cookies to improve user experience. Read more
Save & Close
Accept all
Decline all
Show detailsHide details
Cookie declaration
About cookies
Strictly necessary
Performance
Strictly necessary cookies allow core website functionality such as user login and account management. The website cannot be used properly without strictly necessary cookies.
This cookie is used by Cookie-Script.com service to remember visitor cookie consent preferences. It is necessary for Cookie-Script.com cookie banner to work properly.
Performance cookies are used to see how visitors use the website, eg. analytics cookies. Those cookies cannot be used to directly identify a certain visitor.
Used to store the attribution information, the referrer initially used to visit the website
Cookies are small text files that are placed on your computer by websites that you visit. Websites use cookies to help users navigate efficiently and perform certain functions. Cookies that are required for the website to operate properly are allowed to be set without your permission. All other cookies need to be approved before they can be set in the browser.
You can change your consent to cookie usage at any time on our Privacy Policy page.