Monolithic finite element formulation for magnetohydrodynamics Involving a Compressible Fluid
Material type: BookLanguage: en Publication details: Bangalore : IISc , 2023 .Description: vii, 46p. col. ill. ; 29.1 cm * 20.5 cm e-Thesis 2.771MbDissertation: MTech (Res); 2023; Mechanical engineeringSubject(s): DDC classification:- 621 ADH
Item type | Current library | Call number | Status | Date due | Barcode |
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E-BOOKS | JRD Tata Memorial Library | 621 ADH (Browse shelf(Opens below)) | Available | ET00201 |
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MTech (Res); 2023; Mechanical engineering
This work develops a new monolithic finite-element-based strategy for Magnetohydrodynamics (MHD) involving a compressible fluid based on a continuous velocity-pressure formulation. The entire formula- tion is within a nodal finite element framework, and is directly in terms of physical variables. The exact linearization of the variational formulation ensures a quadratic rate of convergence in the vicinity of the solution. Both steady-state and transient formulations are presented for two- and three-dimensional flows. Several benchmark problems are presented, and comparisons are carried out against analytical solutions, experimental data, or against other numerical schemes for MHD. We show a good coarse-mesh accuracy and robustness of the proposed strategy, even at high Hartmann numbers.
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