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

Author

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  • Shen, Xiaojuan
  • Wang, Yunxia
  • Si, Zhiyong

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.

Suggested Citation

  • Shen, Xiaojuan & Wang, Yunxia & Si, Zhiyong, 2020. "A rotational pressure-correction projection methods for unsteady incompressible Magnetohydrodynamics equations," Applied Mathematics and Computation, Elsevier, vol. 387(C).
  • Handle: RePEc:eee:apmaco:v:387:y:2020:i:c:s0096300319304679
    DOI: 10.1016/j.amc.2019.06.002
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    References listed on IDEAS

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    1. Si, Zhiyong & Jing, Shujie & Wang, Yunxia, 2016. "Defect correction finite element method for the stationary incompressible Magnetohydrodynamics equation," Applied Mathematics and Computation, Elsevier, vol. 285(C), pages 184-194.
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    Cited by:

    1. Si, Zhiyong & Wang, Mingyi & Wang, Yunxia, 2022. "A projection method for the non-stationary incompressible MHD coupled with the heat equations," Applied Mathematics and Computation, Elsevier, vol. 428(C).

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    1. Si, Zhiyong & Wang, Mingyi & Wang, Yunxia, 2022. "A projection method for the non-stationary incompressible MHD coupled with the heat equations," Applied Mathematics and Computation, Elsevier, vol. 428(C).

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