| 38 | [[BR]] |
| 39 | == Test Results == |
| 40 | Five different tests were run in accordance with the tests in Ch. 6 of Toro's aforementioned book. All tests were run with a domain length of 1.0 and 100 computing cells. For the first five time steps a CFL of 0.18 was used to give the various waves time to develop. For the time steps following, a more natural CFL of 0.9 was used to obtain more accurate results. Here is a table of all the input data: |
| 41 | |
| 42 | ||= Discontinuity Position =||= Output Time =||= [[latex($ \rho_L$)]] =||= [[latex($v_L$)]] =||= [[latex($p_L$)]] =||= [[latex($\rho_R$)]] =||= [[latex($v_R$)]] =||= [[latex($p_R$)]] =|| |
| 43 | ||= 0.3 =||= 0.2 =||= 1.0 =||= 0.75 =||= 1.0 =||= 0.125 =||= 0.0 =||= 0.1 =|| |
| 44 | ||= 0.5 =||= 0.15 =||= 1.0 =||= -2.0 =||= 0.4 =||= 1.0 =||= 2.0 =||= 0.4 =|| |
| 45 | ||= 0.5 =||= 0.012 =||= 1.0 =||= 0.0 =||= 1000.0 =||= 1.0 =||= 0.0 =||= 0.01 =|| |
| 46 | ||= 0.4 =||= 0.035 =||= 5.99924 =||= 19.5975 =||= 460.894 =||= 5.99242 =||= -6.19633 =||= 46.0950 =|| |
| 47 | ||= 0.8 =||= 0.012 =||= 1.0 =||= -19.59745 =||= 1000.0 =||= 1.0 =||= -19.59745 =||= 0.01 =|| |
| 48 | |
| 49 | Density, velocity, pressure, and internal energy were plotted for every test. The following images show the numerical results (points) alongside the exact solution (line). |
| 50 | All plots appear to be the same as those presented by Toro. Therefore, the codes SEEQUOD and SEEQUODexact must be correct. |
| 51 | |
| 52 | === Test 1 === |
| 53 | || [[Image(test1_density.png)]] || [[Image(test1_velocity.png)]] || |
| 54 | || [[Image(test1_pressure.png)]] || [[Image(test1_intenergy.png)]] || |
| 55 | |
| 56 | === Test 2 === |
| 57 | || [[Image(test2_density.png)]] || [[Image(test2_velocity.png)]] || |
| 58 | || [[Image(test2_pressure.png)]] || [[Image(test2_intenergy.png)]] || |
| 59 | |
| 60 | === Test 3 === |
| 61 | || [[Image(test3_density.png)]] || [[Image(test3_velocity.png)]] || |
| 62 | || [[Image(test3_pressure.png)]] || [[Image(test3_intenergy.png)]] || |
| 63 | |
| 64 | === Test 4 === |
| 65 | || [[Image(test4_density.png)]] || [[Image(test4_velocity.png)]] || |
| 66 | || [[Image(test4_pressure.png)]] || [[Image(test4_intenergy.png)]] || |
| 67 | |
| 68 | === Test 5 === |
| 69 | || [[Image(test5_density.png)]] || [[Image(test5_velocity.png)]] || |
| 70 | || [[Image(test5_pressure.png)]] || [[Image(test5_intenergy.png)]] || |