Current-sheet formation in 3D ideal incompressible magnetohydrodynamics

被引：40

作者：

Grauer, R ^{[1
]}

Marliani, C

机构：

[1] Univ Dusseldorf, Inst Theoret Phys 1, D-40225 Dusseldorf, Germany

[2] NYU, Courant Inst Math Sci, New York, NY 10012 USA

来源：

PHYSICAL REVIEW LETTERS | 2000年 / 84卷 / 21期

关键词：

D O I：

10.1103/PhysRevLett.84.4850

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The evolution of current density and vorticity in the ideal, inviscid incompressible magnetohydrodynamic equations in three dimensions is studied numerically. Highly effective resolutions are obtained by adaptive structured mesh refinement techniques. We report on results for three different initial conditions showing similar behavior: in the early stage uf the evolution a fast increase in vorticity and current density is observed. Thereafter, the evolution towards nearly two-dimensional current sheets results in a depletion of nonlinearity.

引用

页码：4850 / 4853

页数：4

共 26 条

[1]

[Anonymous], SOVIET ASTRONOMY

[2] Intermittency of Burgers' turbulence [J].

Balkovsky, E ;

Falkovich, G ;

Kolokolov, I ;

Lebedev, V .

PHYSICAL REVIEW LETTERS, 1997, 78 (08) :1452-1455

[3] REMARKS ON THE BREAKDOWN OF SMOOTH SOLUTIONS FOR THE 3-D EULER EQUATIONS [J].

BEALE, JT ;

KATO, T ;

MAJDA, A .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1984, 94 (01) :61-66

[4] LOCAL ADAPTIVE MESH REFINEMENT FOR SHOCK HYDRODYNAMICS [J].

BERGER, MJ ;

COLELLA, P .

JOURNAL OF COMPUTATIONAL PHYSICS, 1989, 82 (01) :64-84

[5] DIRECT NUMERICAL-SIMULATION OF TRANSITION TO TURBULENCE FROM A HIGH-SYMMETRY INITIAL CONDITION [J].

BORATAV, ON ;

PELZ, RB .

PHYSICS OF FLUIDS, 1994, 6 (08) :2757-2784

[6] Nonexistence of simple hyperbolic blow-up for the quasi-geostrophic equation [J].

Cordoba, D .

ANNALS OF MATHEMATICS, 1998, 148 (03) :1135-1152

[7]

Cordoba D, 2000, COMMUN PUR APPL MATH, V53, P512, DOI 10.1002/(SICI)1097-0312(200004)53:4<512::AID-CPA4>3.3.CO

[8]

2-I

[9]

EIJNDEN EV, CHAODYN9901006

[10] Adaptive mesh refinement for singular current sheets in incompressible magnetohydrodynamic flows [J].

Friedel, H ;

Grauer, R ;

Marliani, C .

JOURNAL OF COMPUTATIONAL PHYSICS, 1997, 134 (01) :190-198

← 1 2 3 →