| | 1 | This page introduces the general EOS Riemann solvers. Specifically, the HLLC EOS Rieman solver and the exact EOS Riemann solver. |
| | 2 | |
| | 3 | The EOS I used in these tests is a mixture of hydrogen and helium (X=0.7, Y=0.3). There are four endothermic processes when this gas absorbs heat. They are the disassociation of molecular hydrogen, the ionization of atomic hydrogen, the first ionization of helium, and the second ionization of helium. I plot some of the EOS tables and list them below. |
| | 4 | |
| | 5 | The table of the specific heat of the gas. The X-axis is the temperature in Kelvin in log10 form and the Y-axis is the density in $g\cdot cm^{-3}$ in log10 form. |
| | 6 | |
| | 7 | [[Image(Gamma.png,width=600)]] |
| | 8 | |
| | 9 | The table of the internal energy per unit volume. |
| | 10 | |
| | 11 | [[Image(eg.png,width=600)]] |
| | 12 | |
| | 13 | The table of the mean atomic weight. |
| | 14 | |
| | 15 | [[Image(mu.png,width=600)]] |
| | 16 | |
| | 17 | The pictures below are some 1D tests of the exact EOS Riemann solver and the HLLC EOS Riemann solver. The left and right condition are listed in the table. |
| | 18 | |
| | 19 | || ID || $\rho_{L}$ || $T_{L}$ || $u_{L}$ || $\rho_{R}$ || $T_{R}$ || $u_{R}$ || |
| | 20 | || 1 || $10^{-10}$ || || || || || || |
| | 21 | |
| | 22 | Test ID = 1. Shock tube test. |
| | 23 | |
