Second-order rotational velocity correction projection finite element method for unsteady MHD coupled heat equation.

In this paper, second-order rotational velocity correction (RVC) finite element method is designed for solving the two-dimensional/three-dimensional (2D/3D) incompressible thermally coupled magnetohydrodynamics (MHD) system. This format not only reduces the complexity of solving the model, i.e. the strongly coupled nonlinear saddle-point problem is transformed into a series of small elliptic equations, but also the limitation of artificial Neumann numerical boundary layer of pressure is overcome and the precision of pressure is improved. Then, we use the Gauge-Uzawa formula to convert the rotation term into a telescopic symmetrical form to establish and prove the stability of the second-order RVC algorithm in a linear case. Finally, the numerical results demonstrate the effectiveness and stability of second order rotational velocity corrected projection finite elements in solving the problem. [ABSTRACT FROM AUTHOR]