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@article{Ahn:2020:10.1080/10618562.2020.1737680,
author = {Ahn, JS and Bluck, M},
doi = {10.1080/10618562.2020.1737680},
journal = {International Journal of Computational Fluid Dynamics},
pages = {226--248},
title = {Isogeometric analysis of the time-dependent incompressible MHD equations},
url = {http://dx.doi.org/10.1080/10618562.2020.1737680},
volume = {34},
year = {2020}
}

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TY  - JOUR
AB  - This paper presents an isogeometric (IGA) solver for time-dependent, incompressible magnetohydrodynamics (MHD). In this paper, a combination of inf-sup stable mixed discretisations is considered to discretise the hydrodynamic pair (i.e. velocity and pressure) and magnetic pair (i.e. magnetic field and magnetic pressure). The one step θ-method is used for the temporal discretisation. Manufactured and analytical solutions are considered to assess convergence, accuracy and performance of the IGA solver. Moreover, benchmark problems involving a MHD flow over an obstacle and MHD flow under non-uniform magnetic field are considered to examine the effect of the magnetic field on the flow behaviour.
AU  - Ahn,JS
AU  - Bluck,M
DO  - 10.1080/10618562.2020.1737680
EP  - 248
PY  - 2020///
SN  - 1029-0257
SP  - 226
TI  - Isogeometric analysis of the time-dependent incompressible MHD equations
T2  - International Journal of Computational Fluid Dynamics
UR  - http://dx.doi.org/10.1080/10618562.2020.1737680
UR  - https://www.tandfonline.com/doi/full/10.1080/10618562.2020.1737680
UR  - http://hdl.handle.net/10044/1/78215
VL  - 34
ER  -

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