A mixed finite element method for a time-dependent incompressible MHD problem (Q2869181)
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scientific article; zbMATH DE number 6242474
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A mixed finite element method for a time-dependent incompressible MHD problem |
scientific article; zbMATH DE number 6242474 |
Statements
A mixed finite element method for a time-dependent incompressible MHD problem (English)
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3 January 2014
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Couette channel flow
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divergence-free velocity
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divergence-free magnetic field
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energy conservation
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The magnetohydrodynamics of incompressible flow of a resistive viscous fluid is studied in view of the application of a mixed version of the finite element method. The proposed procedure combines the spatial discretization method shown by \textit{C. Greif}, \textit{D. Li} and the authors [Comput. Methods Appl. Mech. Eng. 199, No. 45--48, 2840--2855 (2010; Zbl 1231.76146)] with an implicit time-stepping. The result is a scheme that produces exactly divergence-free velocities and discretely divergence-free magnetic fields and conserves the energy. As numerical test, the Couette channel flow is presented. This is based on the subject of the Ph.D. thesis of the second author.NEWLINENEWLINEFor the entire collection see [Zbl 1264.65002].
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