The Element-Free Galerkin Method for the Unsteady Magnetohydrodynamic Flow in a Duct

Abstract:

In this paper, a meshless global element-free Galerkin method is given to obtain the numerical solutions of the coupled equations in the velocity and magnetic field for the unsteady magnetohydrodynamic flow through a straight duct with arbitrary electrical conductivity, that is, from perfectly conducting to insulated duct walls. The moving least-square approximation scheme is employed to construct shape functions. A time stepping method is employed to deal with the time derivatives. Non-uniform background grids and nodes are applied for numerical simulations. Computations are performed for different Hartmann numbers and wall conductivities at different time.

• Periodical: Applied Mechanics and Materials (Volume 723)
• Pages: 181-185
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.723.181
• Online since: January 2015
• Authors: Xing Hui Cai*, Hong Fu Qiang, Jiang Ren Lu, Guo Liang Wang
• Keywords: Element-Free Galerkin Method, Unsteady Magetohydrodynamic Flow

References

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