Abstract
New one-dimensional model equations of magnetohydrodynamic turbulence depending on the position x and the time t are proposed considering the x component of the velocity u(x,t) and the y and z components of the magnetic field by(x,t) and bz(x,t). It is found that the model equations conserve the total energy and the quantity similar to the cross helicity, and that they have a similarity solution, u(x,t)∼x/t and by(x,t), bz(x,t)∼C/t in the inviscid limit. A shock type solution is obtained where both the velocity and the magnetic fields have a jump in a narrow viscous or diffusive region. Numerical simulations are also carried out and the results show that the k-2 energy spectrum develops both for the velocity and the magnetic fields.
| Original language | English |
|---|---|
| Pages (from-to) | 1010-1017 |
| Number of pages | 8 |
| Journal | Physics of Plasmas |
| Volume | 4 |
| Issue number | 4 |
| Publication status | Published - Apr 1997 |
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ASJC Scopus subject areas
- Physics and Astronomy(all)
- Condensed Matter Physics
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New one-dimensional model equations of magnetohydrodynamic turbulence. / Yanase, Shinichiro.
In: Physics of Plasmas, Vol. 4, No. 4, 04.1997, p. 1010-1017.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - New one-dimensional model equations of magnetohydrodynamic turbulence
AU - Yanase, Shinichiro
PY - 1997/4
Y1 - 1997/4
N2 - New one-dimensional model equations of magnetohydrodynamic turbulence depending on the position x and the time t are proposed considering the x component of the velocity u(x,t) and the y and z components of the magnetic field by(x,t) and bz(x,t). It is found that the model equations conserve the total energy and the quantity similar to the cross helicity, and that they have a similarity solution, u(x,t)∼x/t and by(x,t), bz(x,t)∼C/t in the inviscid limit. A shock type solution is obtained where both the velocity and the magnetic fields have a jump in a narrow viscous or diffusive region. Numerical simulations are also carried out and the results show that the k-2 energy spectrum develops both for the velocity and the magnetic fields.
AB - New one-dimensional model equations of magnetohydrodynamic turbulence depending on the position x and the time t are proposed considering the x component of the velocity u(x,t) and the y and z components of the magnetic field by(x,t) and bz(x,t). It is found that the model equations conserve the total energy and the quantity similar to the cross helicity, and that they have a similarity solution, u(x,t)∼x/t and by(x,t), bz(x,t)∼C/t in the inviscid limit. A shock type solution is obtained where both the velocity and the magnetic fields have a jump in a narrow viscous or diffusive region. Numerical simulations are also carried out and the results show that the k-2 energy spectrum develops both for the velocity and the magnetic fields.
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UR - http://www.scopus.com/inward/citedby.url?scp=0031125809&partnerID=8YFLogxK
M3 - Article
AN - SCOPUS:0031125809
VL - 4
SP - 1010
EP - 1017
JO - Physics of Plasmas
JF - Physics of Plasmas
SN - 1070-664X
IS - 4
ER -