# A NEW NUMERICAL SCHEME FOR RESISTIVE RELATIVISTIC MAGNETOHYDRODYNAMICS USING METHOD OF CHARACTERISTICS

## Abstract

We present a new numerical method of special relativistic resistive magnetohydrodynamics with scalar resistivity that can treat a range of phenomena, from non-relativistic to relativistic (shock, contact discontinuity, and Alfven wave). The present scheme calculates the numerical flux of fluid by using an approximate Riemann solver and electromagnetic field by using the method of characteristics. Since this scheme uses appropriate characteristic velocities, it is capable of accurately solving problems that cannot be approximated as ideal magnetohydrodynamics and whose characteristic velocity is much lower than the velocity of light. The numerical results show that our scheme can solve the above problems as well as nearly ideal MHD problems. Our new scheme is particularly well suited to systems with initially weak magnetic field and mixed phenomena of relativistic and non-relativistic velocity, for example magnetorotational instability in an accretion disk and super Alfvenic turbulence.

- Authors:

- Theoretical Astrophysics Group, Department of Physics, Kyoto University, Kyoto 606-8502 (Japan)
- Division of Theoretical Astronomy, National Astronomical Observatory of Japan, Mitaka, Tokyo 181-8588 (Japan)

- Publication Date:

- OSTI Identifier:
- 21578384

- Resource Type:
- Journal Article

- Journal Name:
- Astrophysical Journal

- Additional Journal Information:
- Journal Volume: 735; Journal Issue: 2; Other Information: DOI: 10.1088/0004-637X/735/2/113; Journal ID: ISSN 0004-637X

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 79 ASTROPHYSICS, COSMOLOGY AND ASTRONOMY; ACCRETION DISKS; ALFVEN WAVES; ELECTROMAGNETIC FIELDS; INSTABILITY; MAGNETIC FIELDS; MAGNETOHYDRODYNAMICS; PLASMA; VELOCITY; FLUID MECHANICS; HYDRODYNAMICS; HYDROMAGNETIC WAVES; MECHANICS

### Citation Formats

```
Takamoto, Makoto, and Inoue, Tsuyoshi.
```*A NEW NUMERICAL SCHEME FOR RESISTIVE RELATIVISTIC MAGNETOHYDRODYNAMICS USING METHOD OF CHARACTERISTICS*. United States: N. p., 2011.
Web. doi:10.1088/0004-637X/735/2/113.

```
Takamoto, Makoto, & Inoue, Tsuyoshi.
```*A NEW NUMERICAL SCHEME FOR RESISTIVE RELATIVISTIC MAGNETOHYDRODYNAMICS USING METHOD OF CHARACTERISTICS*. United States. doi:10.1088/0004-637X/735/2/113.

```
Takamoto, Makoto, and Inoue, Tsuyoshi. Sun .
"A NEW NUMERICAL SCHEME FOR RESISTIVE RELATIVISTIC MAGNETOHYDRODYNAMICS USING METHOD OF CHARACTERISTICS". United States. doi:10.1088/0004-637X/735/2/113.
```

```
@article{osti_21578384,
```

title = {A NEW NUMERICAL SCHEME FOR RESISTIVE RELATIVISTIC MAGNETOHYDRODYNAMICS USING METHOD OF CHARACTERISTICS},

author = {Takamoto, Makoto and Inoue, Tsuyoshi},

abstractNote = {We present a new numerical method of special relativistic resistive magnetohydrodynamics with scalar resistivity that can treat a range of phenomena, from non-relativistic to relativistic (shock, contact discontinuity, and Alfven wave). The present scheme calculates the numerical flux of fluid by using an approximate Riemann solver and electromagnetic field by using the method of characteristics. Since this scheme uses appropriate characteristic velocities, it is capable of accurately solving problems that cannot be approximated as ideal magnetohydrodynamics and whose characteristic velocity is much lower than the velocity of light. The numerical results show that our scheme can solve the above problems as well as nearly ideal MHD problems. Our new scheme is particularly well suited to systems with initially weak magnetic field and mixed phenomena of relativistic and non-relativistic velocity, for example magnetorotational instability in an accretion disk and super Alfvenic turbulence.},

doi = {10.1088/0004-637X/735/2/113},

journal = {Astrophysical Journal},

issn = {0004-637X},

number = 2,

volume = 735,

place = {United States},

year = {2011},

month = {7}

}