A global spectral-Galerkin investigation of a Rayleigh–Taylor instability in plasma using an MHD–Boussinesq model
This paper presents a new efficient algorithm based on the spectral-Galerkin numerical approximations complemented by a magnetohydrodynamics–Boussinesq model and a new solver for studying the development of a Rayleigh–Taylor (RT) instability. We use the Shenfun computational framework in the Cartesi...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
AIP Publishing LLC
2023-10-01
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| Series: | AIP Advances |
| Online Access: | http://dx.doi.org/10.1063/5.0155976 |
| _version_ | 1827767809088684032 |
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| author | A. Piterskaya W. J. Miloch M. Mortensen |
| author_facet | A. Piterskaya W. J. Miloch M. Mortensen |
| author_sort | A. Piterskaya |
| collection | DOAJ |
| description | This paper presents a new efficient algorithm based on the spectral-Galerkin numerical approximations complemented by a magnetohydrodynamics–Boussinesq model and a new solver for studying the development of a Rayleigh–Taylor (RT) instability. We use the Shenfun computational framework in the Cartesian coordinates, which gives the spectral order and accuracy for the considered model based on the magnetohydrodynamics equations and the Boussinesq conjecture. The numerical simulations were conducted for each two- and three-dimensional case, both with and without an external static magnetic field. The validity of the numerical results was examined by comparing the calculated squared L2-norm of the density parameter with the linear stability analysis. We also examined the effects of a uniform tangential magnetic field on the onset and growth of an RT instability at different magnetic field strengths. The analysis of the effectiveness of the presented method suggests that it can be modified for further research on two-component plasma. |
| first_indexed | 2024-03-11T12:04:09Z |
| format | Article |
| id | doaj.art-ea7a6e1752824efdb3b850d812e4b9c6 |
| institution | Directory Open Access Journal |
| issn | 2158-3226 |
| language | English |
| last_indexed | 2024-03-11T12:04:09Z |
| publishDate | 2023-10-01 |
| publisher | AIP Publishing LLC |
| record_format | Article |
| series | AIP Advances |
| spelling | doaj.art-ea7a6e1752824efdb3b850d812e4b9c62023-11-07T17:47:01ZengAIP Publishing LLCAIP Advances2158-32262023-10-011310105319105319-2010.1063/5.0155976A global spectral-Galerkin investigation of a Rayleigh–Taylor instability in plasma using an MHD–Boussinesq modelA. Piterskaya0W. J. Miloch1M. Mortensen2Department of Mathematics, University of Oslo, Oslo 0851, NorwayDepartment of Physics, University of Oslo, Oslo 0371, NorwayDepartment of Mathematics, University of Oslo, Oslo 0851, NorwayThis paper presents a new efficient algorithm based on the spectral-Galerkin numerical approximations complemented by a magnetohydrodynamics–Boussinesq model and a new solver for studying the development of a Rayleigh–Taylor (RT) instability. We use the Shenfun computational framework in the Cartesian coordinates, which gives the spectral order and accuracy for the considered model based on the magnetohydrodynamics equations and the Boussinesq conjecture. The numerical simulations were conducted for each two- and three-dimensional case, both with and without an external static magnetic field. The validity of the numerical results was examined by comparing the calculated squared L2-norm of the density parameter with the linear stability analysis. We also examined the effects of a uniform tangential magnetic field on the onset and growth of an RT instability at different magnetic field strengths. The analysis of the effectiveness of the presented method suggests that it can be modified for further research on two-component plasma.http://dx.doi.org/10.1063/5.0155976 |
| spellingShingle | A. Piterskaya W. J. Miloch M. Mortensen A global spectral-Galerkin investigation of a Rayleigh–Taylor instability in plasma using an MHD–Boussinesq model AIP Advances |
| title | A global spectral-Galerkin investigation of a Rayleigh–Taylor instability in plasma using an MHD–Boussinesq model |
| title_full | A global spectral-Galerkin investigation of a Rayleigh–Taylor instability in plasma using an MHD–Boussinesq model |
| title_fullStr | A global spectral-Galerkin investigation of a Rayleigh–Taylor instability in plasma using an MHD–Boussinesq model |
| title_full_unstemmed | A global spectral-Galerkin investigation of a Rayleigh–Taylor instability in plasma using an MHD–Boussinesq model |
| title_short | A global spectral-Galerkin investigation of a Rayleigh–Taylor instability in plasma using an MHD–Boussinesq model |
| title_sort | global spectral galerkin investigation of a rayleigh taylor instability in plasma using an mhd boussinesq model |
| url | http://dx.doi.org/10.1063/5.0155976 |
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