# Relativistic MHD Tests

* Introduction*

This page will serve to catalogue all of the YouTube videos for the relativistic MHD tests. The tests that were run are all from Beckwith (2011)^{[1]}, the relavant section of the paper will be cited along with the test problem.

**2d Tests**

*Field Loop Advection*

This is the test in section 4.2. In this test a field loop is advected across the grid at 0.1c. The movie resolution is 800x400 and it goes till t=40. The CFL=0.2 with eps=0.1 for all the waves.

*Current Sheet*

This is the test in section 4.3. In this test a current sheet is established by creating a shear layer in the velocity along with a magnetic field sign reversal at 0.5 and 1.5. The resolution is 512x512 and it goes until t=10. The CFL=0.4 and eps=0.1.

*Orszag Tang Vortex*

This is the test in section 4.4. This is the relativistic version of the Orszag Tang Vortex. The resolution is 512x512 and goes until t=1. The CFL=0.4 and eps=0.1.

*Cylindrical Blast Waves*

This is the test in section 4.6. All the blast waves here have a resolution of 512x512 and go until t=4. Unless otherwise noted the CFL=0.1 and eps=0.1.

The first test has the magnetic field aligned with the x-axis with B=0.1 and P=5x10^{-4}.

The second test has the field at 45^{o} to the x-axis but with the same strength and ambient gas pressure. The eps in this case is 0.15.

The third test has the field aligned with the x-axis again but now raises the ambient gas pressure to 5x10^{-3}.

The fourth test is the same as the third test but with B=0.5.

Finally the fifth test is the same as the previous two but with B=1.0. The CFL in this case is 0.05.

*Kelvin-Helmholtz*

This test is from section 4.7. This is a Kelvin-Helmholtz instability with the high density flow going right at 0.5c and the low density flow going left at 0.5c. This simulation is 512x1024 and goes to t=10. The CFL=0.4 and the eps=0.1. First we will show the density.

Next the passive tracer.

That is it for the 2-d Tests.

^{[1]}Beckwith, K. & Stone, J. M. 2011, ApJS, 193, 6 (ADS Link)

Attachment | Size |
---|---|

bloop.mpeg | 1.25 MB |

cbw-0.mpeg | 988 KB |

cbw-5.mpeg | 894 KB |

cbw-10.mpeg | 844 KB |

cbwi-0.mpeg | 1.03 MB |

cbwi-45.mpeg | 1.01 MB |

csh.mpeg | 1.7 MB |

kh-ps0.mpeg | 2.21 MB |

kh-rho.mpeg | 1.88 MB |

otv.mpeg | 2.06 MB |