A rotational pressure-correction projection methods for unsteady incompressible Magnetohydrodynamics equations

Xiaojuan Shen, Yunxia Wang and Zhiyong Si

Applied Mathematics and Computation, 2020, vol. 387, issue C

Abstract: In this report, a pressure-correction projection scheme in rotational form for the unsteady incompressible magnetohydrodynamics(MHD) equations is given. This method uses the relations of the fluid velocity variable u, the magnetic field variable B and the electrical field variable E, the electrical field variable E were preserved. The theory analysis proves that the rotation form of the algorithm provides optimal error estimates in terms of the H1-norm of the velocity and of the L2-norm of the pressure. The numerical analysis shows that our method is stable and has an optimal convergence rate.

Keywords: The unsteady incompressible MHD equations; The pressure-correction projection scheme in rotational form; Projection method; Finite element method; Stability analysis; Convergence analysis (search for similar items in EconPapers)
Date: 2020
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:387:y:2020:i:c:s0096300319304679

DOI: 10.1016/j.amc.2019.06.002

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