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A higher order pressure segregation scheme for the time-dependent magnetohydrodynamics equations

Yun-Bo YangYao-Lin JiangQiong-Xiang Kong — 2019

Applications of Mathematics

A higher order pressure segregation scheme for the time-dependent incompressible magnetohydrodynamics (MHD) equations is presented. This scheme allows us to decouple the MHD system into two sub-problems at each time step. First, a coupled linear elliptic system is solved for the velocity and the magnetic field. And then, a Poisson-Neumann problem is treated for the pressure. The stability is analyzed and the error analysis is accomplished by interpreting this segregated scheme as a higher order...

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