Localized Meshless Numerical Methods for MHD Duct Flows at High Hartmann Number
Date Issued
2010
Date
2010
Author(s)
Wang, Tzu-Cheng
Abstract
Abstract
In this paper, a localized integrated radial basis function-based differential quadrature (iRBF-DQ) method for solving steady magnetohydrodynamic (MHD) duct flow is presented. Local iRBF-DQ method is a truly meshless and computationally efficient method, which discretizes any derivative at a knot by weighted linear sum of functional
values at its nearby nodes. The integrated RBFs make the approximations of governing equations more stable than conventional RBFs. The high Hartmann numbers (high magnetic field) MHD problem apply to the design of cooling systems with liquid metals for a thermal nuclear fusion blanket. We present results for Hartmann number up to 10 5 with fully insulating or partly insulating and partly conducting walls, having rectangular, circular and arbitrary cross section. The evidence shows that local iRBF-DQ method has the ability to produce accurate and stable approximations for the velocity and induced magnetic field at the range of Hartmann number≤10 5.
Subjects
integrated radial basis function-based (iRBF) collocation method
localized integrated radial basis function-based differential quadrature (iRBF-DQ) method
Thin Plate Splines (TPS)
meshless
magnetohydrodynamic (MHD)
Navier-Stokes equations
Hartmann number
Hartmann effect
self-cooled liquid metal blankets
Type
thesis
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