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| 1 | +# Exact solution for the Sod problem at t = 0.2 s, using Toro's exact Riemann |
| 2 | +# solver (Ch. 4) and gamma = 1.4 |
| 3 | + x rho u p e |
| 4 | + 0.003906 1.000000 0.000000 1.000000 2.500000 |
| 5 | + 0.011719 1.000000 0.000000 1.000000 2.500000 |
| 6 | + 0.019531 1.000000 0.000000 1.000000 2.500000 |
| 7 | + 0.027344 1.000000 0.000000 1.000000 2.500000 |
| 8 | + 0.035156 1.000000 0.000000 1.000000 2.500000 |
| 9 | + 0.042969 1.000000 0.000000 1.000000 2.500000 |
| 10 | + 0.050781 1.000000 0.000000 1.000000 2.500000 |
| 11 | + 0.058594 1.000000 0.000000 1.000000 2.500000 |
| 12 | + 0.066406 1.000000 0.000000 1.000000 2.500000 |
| 13 | + 0.074219 1.000000 0.000000 1.000000 2.500000 |
| 14 | + 0.082031 1.000000 0.000000 1.000000 2.500000 |
| 15 | + 0.089844 1.000000 0.000000 1.000000 2.500000 |
| 16 | + 0.097656 1.000000 0.000000 1.000000 2.500000 |
| 17 | + 0.105469 1.000000 0.000000 1.000000 2.500000 |
| 18 | + 0.113281 1.000000 0.000000 1.000000 2.500000 |
| 19 | + 0.121094 1.000000 0.000000 1.000000 2.500000 |
| 20 | + 0.128906 1.000000 0.000000 1.000000 2.500000 |
| 21 | + 0.136719 1.000000 0.000000 1.000000 2.500000 |
| 22 | + 0.144531 1.000000 0.000000 1.000000 2.500000 |
| 23 | + 0.152344 1.000000 0.000000 1.000000 2.500000 |
| 24 | + 0.160156 1.000000 0.000000 1.000000 2.500000 |
| 25 | + 0.167969 1.000000 0.000000 1.000000 2.500000 |
| 26 | + 0.175781 1.000000 0.000000 1.000000 2.500000 |
| 27 | + 0.183594 1.000000 0.000000 1.000000 2.500000 |
| 28 | + 0.191406 1.000000 0.000000 1.000000 2.500000 |
| 29 | + 0.199219 1.000000 0.000000 1.000000 2.500000 |
| 30 | + 0.207031 1.000000 0.000000 1.000000 2.500000 |
| 31 | + 0.214844 1.000000 0.000000 1.000000 2.500000 |
| 32 | + 0.222656 1.000000 0.000000 1.000000 2.500000 |
| 33 | + 0.230469 1.000000 0.000000 1.000000 2.500000 |
| 34 | + 0.238281 1.000000 0.000000 1.000000 2.500000 |
| 35 | + 0.246094 1.000000 0.000000 1.000000 2.500000 |
| 36 | + 0.253906 1.000000 0.000000 1.000000 2.500000 |
| 37 | + 0.261719 1.000000 0.000000 1.000000 2.500000 |
| 38 | + 0.269531 0.978445 0.025727 0.969954 2.478304 |
| 39 | + 0.277344 0.951706 0.058279 0.933048 2.450988 |
| 40 | + 0.285156 0.925555 0.090831 0.897353 2.423823 |
| 41 | + 0.292969 0.899982 0.123383 0.862834 2.396810 |
| 42 | + 0.300781 0.874977 0.155935 0.829460 2.369948 |
| 43 | + 0.308594 0.850532 0.188487 0.797199 2.343237 |
| 44 | + 0.316406 0.826635 0.221039 0.766019 2.316678 |
| 45 | + 0.324219 0.803279 0.253591 0.735890 2.290270 |
| 46 | + 0.332031 0.780454 0.286144 0.706783 2.264013 |
| 47 | + 0.339844 0.758151 0.318696 0.678668 2.237908 |
| 48 | + 0.347656 0.736360 0.351248 0.651518 2.211954 |
| 49 | + 0.355469 0.715073 0.383800 0.625304 2.186152 |
| 50 | + 0.363281 0.694282 0.416352 0.599999 2.160501 |
| 51 | + 0.371094 0.673977 0.448904 0.575577 2.135001 |
| 52 | + 0.378906 0.654150 0.481456 0.552012 2.109653 |
| 53 | + 0.386719 0.634792 0.514008 0.529278 2.084456 |
| 54 | + 0.394531 0.615896 0.546560 0.507353 2.059410 |
| 55 | + 0.402344 0.597452 0.579112 0.486210 2.034516 |
| 56 | + 0.410156 0.579452 0.611664 0.465827 2.009773 |
| 57 | + 0.417969 0.561889 0.644216 0.446181 1.985182 |
| 58 | + 0.425781 0.544755 0.676769 0.427249 1.960742 |
| 59 | + 0.433594 0.528041 0.709321 0.409010 1.936453 |
| 60 | + 0.441406 0.511739 0.741873 0.391443 1.912316 |
| 61 | + 0.449219 0.495843 0.774425 0.374526 1.888330 |
| 62 | + 0.457031 0.480345 0.806977 0.358240 1.864495 |
| 63 | + 0.464844 0.465236 0.839529 0.342565 1.840812 |
| 64 | + 0.472656 0.450510 0.872081 0.327481 1.817280 |
| 65 | + 0.480469 0.436160 0.904633 0.312971 1.793900 |
| 66 | + 0.488281 0.426319 0.927453 0.303130 1.777600 |
| 67 | + 0.496094 0.426319 0.927453 0.303130 1.777600 |
| 68 | + 0.503906 0.426319 0.927453 0.303130 1.777600 |
| 69 | + 0.511719 0.426319 0.927453 0.303130 1.777600 |
| 70 | + 0.519531 0.426319 0.927453 0.303130 1.777600 |
| 71 | + 0.527344 0.426319 0.927453 0.303130 1.777600 |
| 72 | + 0.535156 0.426319 0.927453 0.303130 1.777600 |
| 73 | + 0.542969 0.426319 0.927453 0.303130 1.777600 |
| 74 | + 0.550781 0.426319 0.927453 0.303130 1.777600 |
| 75 | + 0.558594 0.426319 0.927453 0.303130 1.777600 |
| 76 | + 0.566406 0.426319 0.927453 0.303130 1.777600 |
| 77 | + 0.574219 0.426319 0.927453 0.303130 1.777600 |
| 78 | + 0.582031 0.426319 0.927453 0.303130 1.777600 |
| 79 | + 0.589844 0.426319 0.927453 0.303130 1.777600 |
| 80 | + 0.597656 0.426319 0.927453 0.303130 1.777600 |
| 81 | + 0.605469 0.426319 0.927453 0.303130 1.777600 |
| 82 | + 0.613281 0.426319 0.927453 0.303130 1.777600 |
| 83 | + 0.621094 0.426319 0.927453 0.303130 1.777600 |
| 84 | + 0.628906 0.426319 0.927453 0.303130 1.777600 |
| 85 | + 0.636719 0.426319 0.927453 0.303130 1.777600 |
| 86 | + 0.644531 0.426319 0.927453 0.303130 1.777600 |
| 87 | + 0.652344 0.426319 0.927453 0.303130 1.777600 |
| 88 | + 0.660156 0.426319 0.927453 0.303130 1.777600 |
| 89 | + 0.667969 0.426319 0.927453 0.303130 1.777600 |
| 90 | + 0.675781 0.426319 0.927453 0.303130 1.777600 |
| 91 | + 0.683594 0.426319 0.927453 0.303130 1.777600 |
| 92 | + 0.691406 0.265574 0.927453 0.303130 2.853541 |
| 93 | + 0.699219 0.265574 0.927453 0.303130 2.853541 |
| 94 | + 0.707031 0.265574 0.927453 0.303130 2.853541 |
| 95 | + 0.714844 0.265574 0.927453 0.303130 2.853541 |
| 96 | + 0.722656 0.265574 0.927453 0.303130 2.853541 |
| 97 | + 0.730469 0.265574 0.927453 0.303130 2.853541 |
| 98 | + 0.738281 0.265574 0.927453 0.303130 2.853541 |
| 99 | + 0.746094 0.265574 0.927453 0.303130 2.853541 |
| 100 | + 0.753906 0.265574 0.927453 0.303130 2.853541 |
| 101 | + 0.761719 0.265574 0.927453 0.303130 2.853541 |
| 102 | + 0.769531 0.265574 0.927453 0.303130 2.853541 |
| 103 | + 0.777344 0.265574 0.927453 0.303130 2.853541 |
| 104 | + 0.785156 0.265574 0.927453 0.303130 2.853541 |
| 105 | + 0.792969 0.265574 0.927453 0.303130 2.853541 |
| 106 | + 0.800781 0.265574 0.927453 0.303130 2.853541 |
| 107 | + 0.808594 0.265574 0.927453 0.303130 2.853541 |
| 108 | + 0.816406 0.265574 0.927453 0.303130 2.853541 |
| 109 | + 0.824219 0.265574 0.927453 0.303130 2.853541 |
| 110 | + 0.832031 0.265574 0.927453 0.303130 2.853541 |
| 111 | + 0.839844 0.265574 0.927453 0.303130 2.853541 |
| 112 | + 0.847656 0.265574 0.927453 0.303130 2.853541 |
| 113 | + 0.855469 0.125000 0.000000 0.100000 2.000000 |
| 114 | + 0.863281 0.125000 0.000000 0.100000 2.000000 |
| 115 | + 0.871094 0.125000 0.000000 0.100000 2.000000 |
| 116 | + 0.878906 0.125000 0.000000 0.100000 2.000000 |
| 117 | + 0.886719 0.125000 0.000000 0.100000 2.000000 |
| 118 | + 0.894531 0.125000 0.000000 0.100000 2.000000 |
| 119 | + 0.902344 0.125000 0.000000 0.100000 2.000000 |
| 120 | + 0.910156 0.125000 0.000000 0.100000 2.000000 |
| 121 | + 0.917969 0.125000 0.000000 0.100000 2.000000 |
| 122 | + 0.925781 0.125000 0.000000 0.100000 2.000000 |
| 123 | + 0.933594 0.125000 0.000000 0.100000 2.000000 |
| 124 | + 0.941406 0.125000 0.000000 0.100000 2.000000 |
| 125 | + 0.949219 0.125000 0.000000 0.100000 2.000000 |
| 126 | + 0.957031 0.125000 0.000000 0.100000 2.000000 |
| 127 | + 0.964844 0.125000 0.000000 0.100000 2.000000 |
| 128 | + 0.972656 0.125000 0.000000 0.100000 2.000000 |
| 129 | + 0.980469 0.125000 0.000000 0.100000 2.000000 |
| 130 | + 0.988281 0.125000 0.000000 0.100000 2.000000 |
| 131 | + 0.996094 0.125000 0.000000 0.100000 2.000000 |
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