Orszag Tang Vortex - SFG-CUHK/scorpio-test-cases GitHub Wiki
It is a 2D MHD problem that first studied by Orszag & Tang(1998). It studied the behavior of a rotating conducting fluid under a periodically perturbed magnetic field. We follow the standard setting of the O-T vortex and perform the simulation using Scorpio. The initial setting is shown below (identical to Philip (2004)).
| Parameter | Setting | Parameter | Setting |
|---|---|---|---|
| [0, 1] | [0, 1] | ||
| 401 | 403 | ||
| 5/3 | CFL | 0.4 | |
| Solver | HLLD | Flux-limiter | minmod |
| 10 | |||
Here ,
are the dimension of the simulation domain,
,
are the resolution of the boxes. The HLLD solver is applied for the Riemann problem, and the minmod flux limiter is used to ensure the TVD properties. The test case end at
and the adiabatic fluid is initially uniform with density
and pressure
. The initial velocity and magnetic field are described by the following equations.
Where ,
are the and
,
components of velocity,
,
are the
and
magnetic fields vectors and
is the magnitude the magmatic field.
Result of the Orszag-Tang vortex, simulated with Scorpio
The simulation finished normally, and the result is comparable with other experiments (Philip (2004), Dai & .Woodward (1998)).