Fontana, Mauro and Mininni, Pablo D. and Bruno, Oscar P. and Dmitruk, Pablo (2022) Vector potential-based MHD solver for non-periodic flows using Fourier continuation expansions. Computer Physics Communications, 275 . Art. No. 108304. ISSN 0010-4655. doi:10.1016/j.cpc.2022.108304. https://resolver.caltech.edu/CaltechAUTHORS:20220209-266110000
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Abstract
A high-order method to evolve in time electromagnetic and velocity fields in conducting fluids with non-periodic boundaries is presented. The method has a small overhead compared with fast FFT-based pseudospectral methods in periodic domains. It uses the magnetic vector potential formulation for accurately enforcing the null divergence of the magnetic field, and allowing for different boundary conditions including perfectly conducting walls or vacuum surroundings, two cases relevant for many astrophysical, geophysical, and industrial flows. A spectral Fourier continuation method is used to accurately represent all fields and their spatial derivatives, allowing also for efficient solution of Poisson equations with different boundaries. A study of conducting flows at different Reynolds and Hartmann numbers, and with different boundary conditions, is presented to study convergence of the method and the accuracy of the solenoidal and boundary conditions.
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| Additional Information: | © 2022 Elsevier. Received 15 July 2021, Revised 11 November 2021, Accepted 2 February 2022, Available online 8 February 2022. The review of this paper was arranged by Prof. David W. Walker. The authors acknowledge support from CONICET and ANPCyT through PIP, Argentina Grant No. 11220150100324CO, and PICT, Argentina Grant No. 2018-4298. This work was also supported by National Science Foundation, USA through contract DMS-1714169, and by the NSSEFF Vannevar Bush Fellowship, USA under contract number N0001416-1-2808. We also thank the Physics Department at the University of Buenos Aires for providing computing time on its Dirac cluster. The authors declare that they have no known competing financial interests or personal relationships that could have appeared to influence the work reported in this paper. | ||||||||||||||
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| Subject Keywords: | MHD; Non-periodic boundary conditions; Fourier continuation; Magnetic vector potential; Direct numerical simulations | ||||||||||||||
| DOI: | 10.1016/j.cpc.2022.108304 | ||||||||||||||
| Record Number: | CaltechAUTHORS:20220209-266110000 | ||||||||||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20220209-266110000 | ||||||||||||||
| Official Citation: | Mauro Fontana, Pablo D. Mininni, Oscar P. Bruno, Pablo Dmitruk, Vector potential-based MHD solver for non-periodic flows using Fourier continuation expansions, Computer Physics Communications, Volume 275, 2022, 108304, ISSN 0010-4655, https://doi.org/10.1016/j.cpc.2022.108304. | ||||||||||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | ||||||||||||||
| ID Code: | 113347 | ||||||||||||||
| Collection: | CaltechAUTHORS | ||||||||||||||
| Deposited By: | George Porter | ||||||||||||||
| Deposited On: | 09 Feb 2022 23:25 | ||||||||||||||
| Last Modified: | 10 Mar 2022 20:34 |
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