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@article{Ni2007ACD, title={A current density conservative scheme for incompressible MHD flows at a low magnetic Reynolds number. Part II: On an arbitrary collocated mesh}, author={Ming-Jiu Ni and Ramakanth Munipalli and Peter Huang and Neil B. Morley and Mohamed A. Abdou}, journal={J. Comput. Physics}, year={2007}, volume={227}, pages={205-228} }

- Published 2007 in J. Comput. Physics
DOI:10.1016/j.jcp.2007.07.023

A conservative formulation of the Lorentz force is given here for magnetohydrodynamic (MHD) flows at a low magnetic Reynolds number with the current density calculated based on Ohm’s law and the electrical potential formula. This conservative formula shows that the total momentum contributed from the Lorentz force is conservative when the applied magnetic field is constant. For the case with a non-constant applied magnetic field, the Lorentz force has been divided into two parts: a strong… CONTINUE READING

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