Numerical and analytical estimates for the structure functions in two-dimensional magnetohydrodynamic flows
- Institut fuer Theoretische Physik I, Heinrich-Heine-Universitaet Duesseldorf, D-40225 Duesseldorf (Germany)
In two-dimensional magnetohydrodynamic turbulence, the Kraichnan--Iroshnikov dimensional analysis suggests a linear scaling law for the exponents {zeta}{sub {ital p}}={ital p}/4 of the structure functions for the Elsaesser variables z{sup {plus_minus}}=u{plus_minus}B. Numerical simulations are presented and higher order structure functions are calculated using the extended self-similarity hypothesis of Benzi {ital et} {ital al}. [Phys. Rev. E {bold 48}, R29 (1993)]. In addition, an estimate for the first structure function {zeta}{sub 1}{ge}1/4 is derived using a geometric technique introduced by Constantin and Procaccia [Phys. Rev. E {bold 47}, 3307 (1993)] in the the context of the transport of a passive scalar in three-dimensional Navier--Stokes turbulence. {copyright} {ital 1995} {ital American} {ital Institute} {ital of} {ital Physics}.
- OSTI ID:
- 164961
- Journal Information:
- Physics of Plasmas, Journal Name: Physics of Plasmas Journal Issue: 1 Vol. 2; ISSN PHPAEN; ISSN 1070-664X
- Country of Publication:
- United States
- Language:
- English
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