Parameter Identification in MHD Duct Flow Cauchy Problem using the DRBEM

2018-08-31
In this study, the Hartmann number (Ha) is identified through the inverse formulation of Cauchy problem for magnetohydrodynamic (MHD) flow in a duct with insulated but no-slip or variably slipping walls. The solutions for direct and inverse problems are obtained using the dual reciprocity boundary element method (DRBEM), and Tikhonov regularization with L-curve method is used for solving ill-conditioned linear system of equations resulted from the inverse problem. The velocity and the induced magnetic field profiles are simulated from the direct solution depicting the well-known MHD characteristics. The Hartmann number is reconstructed from the inverse problem with an accuracy of 10−4 to 10−6. The DRBEM provides overdetermined information needed in the inverse MHD flow problem since it gives both the solution and its normal derivatives on the boundary points.

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Citation Formats
M. Tezer, “Parameter Identification in MHD Duct Flow Cauchy Problem using the DRBEM,” 2018, vol. 1141, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/35754.