The element-free Galerkin method for the unsteady magnetohydrodynamic (MHD) flow in duct with arbitrary wall conductivity
In this paper, a meshless global element free Galerkin (EFG) method is given to obtain the numerical solutions of the coupled equations in the velocity and magnetic field for the unsteady magnetohydrodynamic (MHD) flow through a straight duct with arbitrary electrical conductivity, that is, from perfectly conducting to insulated duct walls. The moving least square (MLS) approximation scheme is employed to construct shape functions. A time stepping method is employed to deal with the time derivative. Non-uniform background grids and nodes are applied for numerical simulations. Computations are performed for different Hartmann numbers and wall conductivities at different time. The numerical results show that the EFG method may compute MHD problems not only at low values (Ha=5) but also at moderate high (Ha=1000) values of the Hartmann number with good accuracy and convergence.
The element-free Galerkin method unsteady magetohydrodynamic flow
Xinghui Cai G. H. Su Suizheng Qiu Wenxi Tian
State Key Laboratory of Multiphase Flow in Power Engineering, Department of Nuclear Science and Tech State Key Laboratory of Multiphase Flow in Power Engineering, Department of Nuclear Science and Tech
国际会议
上海
英文
1687-1698
2010-10-10（万方平台首次上网日期，不代表论文的发表时间）