A Meshfree Weak-Strong-Form Method for Magnetohydrodynamic Flow in a Pipe

Abstract:

In this paper, a meshfree weak-strong form method is presented to compute the fully developed magnetohydrodynmic flow in a pipe. The radial basis function point interpolation approximation is adopted to construct the shape functions. For the nodes whose local quadrature domain is intersect with the natural boundaries, a local weak form of radial point interpolation method is applied. Otherwise, a strong form of meshfree point collocation method is employed. Numerical simulations are carried out for fully developed magnetohydrodynmic flow in a rectangular pipe with arbitrary electrical conductivity.

• Periodical: Advanced Materials Research (Volumes 490-495)
• Pages: 1883-1887
• DOI: https://doi.org/10.4028/www.scientific.net/AMR.490-495.1883
• Online since: March 2012
• Authors: Xing Hui Cai, Cheng Ying Shi, Peng Xu, Man Lin Zhu, Guo Liang Wang
• Keywords: Magnetohydrodynamic Flow, Meshfree Weak-Strong-Form Method, Numerical Simulation

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