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Summary: A current density conservative scheme for incompressible
MHD flows at a low magnetic Reynolds number.
Part I: On a rectangular collocated grid system
Ming-Jiu Ni a,c,*, Ramakanth Munipalli b
, Neil B. Morley a
,
Peter Huang b
, Mohamed A. Abdou a
a
MAE Department, University of California at Los Angeles, CA 90095, USA
b
HyperComp Inc., Westlake Village, CA 91362, USA
c
Physics Department, Graduate University of Chinese Academy of Sciences, Beijing 100049, China
Received 7 August 2006; received in revised form 16 April 2007; accepted 22 July 2007
Available online 9 August 2007
Abstract
A consistent, conservative and accurate scheme has been designed to calculate the current density and the Lorentz force
by solving the electrical potential equation for magnetohydrodynamics (MHD) at low magnetic Reynolds numbers and
high Hartmann numbers on a finite-volume structured collocated grid. In this collocated grid, velocity (u), pressure (p),
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