TY - JOUR
T1 - A conserved local cross helicity for non-barotropic MHD
AU - Yahalom, Asher
N1 - Publisher Copyright:
© 2017 Informa UK Limited, trading as Taylor & Francis Group.
PY - 2017/3/4
Y1 - 2017/3/4
N2 - Cross helicity is not conserved in non-barotropic magnetohydro-dynamics (MHD) (as opposed to barotropic or incompressible MHD). Here we show that variational analysis suggests a new kind of local cross helicity which is conserved in the non-barotropic case. This local cross helicity can be integrated to a global non-barotropic cross helicity which was suggested in the work of Webb et al. (2014a,b). The non-barotropic cross helicity reduces to the standard cross helicity under barotropic assumptions. The new local cross helicity is conserved even for topologies for which the variational principle does not apply.
AB - Cross helicity is not conserved in non-barotropic magnetohydro-dynamics (MHD) (as opposed to barotropic or incompressible MHD). Here we show that variational analysis suggests a new kind of local cross helicity which is conserved in the non-barotropic case. This local cross helicity can be integrated to a global non-barotropic cross helicity which was suggested in the work of Webb et al. (2014a,b). The non-barotropic cross helicity reduces to the standard cross helicity under barotropic assumptions. The new local cross helicity is conserved even for topologies for which the variational principle does not apply.
KW - Magnetohydrodynamics
KW - topological conservation laws
KW - variational analysis
UR - http://www.scopus.com/inward/record.url?scp=85010702869&partnerID=8YFLogxK
U2 - 10.1080/03091929.2017.1281410
DO - 10.1080/03091929.2017.1281410
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AN - SCOPUS:85010702869
SN - 0309-1929
VL - 111
SP - 131
EP - 137
JO - Geophysical and Astrophysical Fluid Dynamics
JF - Geophysical and Astrophysical Fluid Dynamics
IS - 2
ER -