A Survey of Numerical Methods for Compressible Fluids

Cover A Survey of Numerical Methods for Compressible Fluids
A Survey of Numerical Methods for Compressible Fluids
Gary a Sod
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550 0. 019 2. 217 3 0. 55'i 0. 032 2. 218 i* 0. 550 0. 039 2. 219 5 0. 552 0. 04? 2. 223 6 0. 550 0. 059 2. 222 7 0. 5^19 0. 070 2. 221 8 0. 550 0. 079 2. 224 9 0. 5^5 0. 090 2. 232 10 0. 5^^6 0. 097 2. 247 11 0. 5^18 0. 110 2. 258 12 0. 5^5 0. 119 2. 267 13 0. 5^9 0. 122 2. 266 Ik 0. 552 0. 136 2. 266 15 0. 5'<9 0. 1^13 2. 269 16 0. 553 0. 1il9 2. 275 17 0. 550 0. 158 2. 266 18 0. 5'46 0. 164 2. 267 19 0. 550 0. 178 2. 267 20 0. 5^3 0. 190 2. 272 33 * Table IV SCHEMES WITHOUT ACM 0. 226 WITH ACM Godunov 0. 2il7 Lax-Wendroff 0. 226 - MacCormack 0. 22i< - Rusanov 0. 22^4 0. 2^40 Upwind 0. 225 - Glimm 0. 36'4 - Antidiffusion 0. 242 - Hybrid 0. 258 0. 269 Hyman 0. 276 - Times include computation of exact solution, calls to printing and plotting routines, which were the same for all cases. 3^ Figure 1 35 Region 1 Region 5 Pi I 1P5 ^1=0 I yu '0 Figure 2 36 Region 1 u. Region 5 Figure 3 37 1. 00 1 . 00 Figure H 38 1. 00 L amiiuiMHWWWft LJ o o o Hd-oo . 25 . 50 . 75 1. 00 Figure 4 continued 39 1.

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