DG Method And Numerical Simulation Of Magnetic Fluid

As a branch of the interdiscipline, research of the magnetohydrodynamical has been applied in many branches of physics and emerging technologies, and gradually permeated various fields of national economy, and ferromagnetic fluid both liquid flow and solid material performance of magnetization, has been widely used in many different fields.Discontinuous Galerkin method has the advantages of finite element method,but also can effectively deal with intermittent, and simply construct any precision format. In this paper, we first describe the DG method, and use this method to do the numerical simulation of one dimensional inviscid Burgers equation, one di-mensional Burgers equation with viscous term, Rayleigh-Taylor instability problem,ideal magnetic fluid model. The numerical results verify the effectiveness and practi-cability of the method, and also show that the method can deal with the intermittent and can solve the problem of complex structure. Due to the difficulty of experiment,the study of ferromagnetic fluid model needs to be further realized.