PLUTO Test Problems  4.4-patch2
init.c File Reference

Relativistic shock tube problems. More...

Detailed Description

Sets up a one-dimensional static radiative shock tube problem.

Initial conditions are set as

\[ \left(\rho,\, u^x,\, p_g, E_r, F^x_r \right) = \left\{\begin{array}{ll} \left(\rho,\, u^x,\, p_g, E_r, F^x_r \right)_L & \quad\mathrm{for}\quad x < 0 \\ \noalign{\medskip} \left(\rho,\, u^x,\, p_g, E_r, F^x_r \right)_R & \quad\mathrm{otherwise} \end{array}\right. \]

The four available configurations correspond to Problems 1-4 of Melon Fuksman & Mignone (2019), extracted from Farris et al. (2008):

  1. Configurations #01, #02, and #03 correspond to Problem 1 (nonrelativistic strong shock), in which a gas-pressure–dominated shock moves at a nonrelativistic speed in a cold gas $(p_g\ll\rho)$.
  2. Configurations #04, #05, and #06 correspond to Problem 2 (mildly relativistic strong shock), which is similar to Problem 1 with the main difference that now a maximum proper velocity $u^x=0.25$ is chosen.
  3. Configurations #07, #08, and #09 correspond to Problem 3 (highly relativistic wave), in which a highly relativistic gas-pressure-dominated wave is set up with $u^x\leq10$ and $\rho\ll\tilde{P}^{xx}_r<p_g$.
  4. Configurations #10, #11, and #12 correspond to Problem 4 (radiation-pressure-dominated wave), where the radiation pressure is much higher than the gas pressure in a shock that propagates at a mildly relativistic velocity ( $u^x\leq0.69$).
Author
J. D. Melon Fuksman (fuksm.nosp@m.an@m.nosp@m.pia.d.nosp@m.e)
Date
Dec 12, 2019

References