Zienkiewicz O.C., Taylor R.L. Vol. 3. The finite - tiera.ru

More documents

Recommendations

Info

(a) (b) (c) Viscous problems in two dimensions 199 Fig. 6.21 Viscous ¯ow past a ¯at plate (Carter problem). 77 Mach 3, Re ˆ 1000 (a) mesh, nodes: 6750, elements: 13, 172 contours of (b) pressure and (c) Mach number.
200 Compressible high-speed gas ¯ow P/P inf (a) Y/L (b) 5.00 4.50 4.00 3.50 3.00 2.50 2.00 1.50 1.00 0.50 0.80 0.60 0.40 0.20 0 0 0.10 0.20 0.30 0.40 0.50 X/L 0.60 0.70 0.80 0.90 1.00 0 0 0.25 0.50 0.75 1.00 1.25 1.50 U/U inf MUSCL CBS Carter MUSCL CBS Carter Fig. 6.22 Viscous ¯ow past a ¯at plate (Carter problem). 77 Mach 3, Re ˆ 1000. (a) Pressure distribution along the plate surface, (b) exit velocity pro®le. and it will be noted that the CBS solution appears to be more consistent, avoiding oscillations near the leading edge. 6.10.2 Adaptive re®nement in both shockand boundary layer In this section we shall pursue mesh generation and adaptivity in precisely the same manner as we have done in Chapter 4 and previously in this chapter, i.e. using elongated ®nite elements in the zones where rapid variation of curvature occurs. An example of this application is given in Fig. 6.23. Here now a problem of the
Page 1 and 2:
The Finite Element Method Fifth edi
Page 3 and 4:
The Finite Element Method Fifth edi
Page 5 and 6:
Dedication This book is dedicated t
Page 7 and 8:
3.7 The performance of two- and sin
Page 9 and 10:
...................................
Page 11 and 12:
Volume 2: Solid and structural mech
Page 13 and 14:
xiv Preface to Volume 3 this algori
Page 15 and 16:
2 Introduction and the equations of
Page 17 and 18:
Page 19 and 20:
Page 21 and 22:
Page 23 and 24:
10 Introduction and the equations o
Page 25 and 26:
12 Introduction and the equations o
Page 27 and 28:
14 Convection dominated problems We
Page 29 and 30:
16 Convection dominated problems wh
Page 31 and 32:
18 Convection dominated problems ch
Page 33 and 34:
20 Convection dominated problems i.
Page 35 and 36:
22 Convection dominated problems 2
Page 37 and 38:
24 Convection dominated problems 2.
Page 39 and 40:
26 Convection dominated problems ar
Page 41 and 42:
28 Convection dominated problems Th
Page 43 and 44:
30 Convection dominated problems co
Page 45 and 46:
32 Convection dominated problems 2.
Page 47 and 48:
34 Convection dominated problems ha
Page 49 and 50:
36 Convection dominated problems an
Page 51 and 52:
38 Convection dominated problems ac
Page 53 and 54:
40 Convection dominated problems An
Page 55 and 56:
42 Convection dominated problems U
Page 57 and 58:
44 Convection dominated problems (a
Page 59 and 60:
46 Convection dominated problems sp
Page 61 and 62:
48 Convection dominated problems ag
Page 63 and 64:
50 Convection dominated problems To
Page 65 and 66:
52 Convection dominated problems C
Page 67 and 68:
Page 69 and 70:
56 Convection dominated problems an
Page 71 and 72:
Page 73 and 74:
60 Convection dominated problems Ma
Page 75 and 76:
62 Convection dominated problems 47
Page 77 and 78:
3 A general algorithm for compressi
Page 79 and 80:
66 A general algorithm for compress
Page 81 and 82:
Page 83 and 84:
Page 85 and 86:
Page 87 and 88:
Page 89 and 90:
Page 91 and 92:
Page 93 and 94:
Page 95 and 96:
Page 97 and 98:
Page 99 and 100:
Page 101 and 102:
Page 103 and 104:
Page 105 and 106:
92 Incompressible laminar ¯ow Cons
Page 107 and 108:
94 Incompressible laminar ¯ow and,
Page 109 and 110:
96 Incompressible laminar ¯ow V/V
Page 111 and 112:
98 Incompressible laminar ¯ow The
Page 113 and 114:
100 Incompressible laminar ¯ow 1.5
Page 115 and 116:
102 Incompressible laminar ¯ow p 1
Page 117 and 118:
104 Incompressible laminar ¯ow �
Page 119 and 120:
106 Incompressible laminar ¯ow x 2
Page 121 and 122:
108 Incompressible laminar ¯ow Thi
Page 123 and 124:
Page 125 and 126:
Page 127 and 128:
114 Incompressible laminar ¯ow (a)
Page 129 and 130:
116 Incompressible laminar ¯ow (b)
Page 131 and 132:
118 Incompressible laminar ¯ow wit
Page 133 and 134:
120 Incompressible laminar ¯ow The
Page 135 and 136:
122 Incompressible laminar ¯ow Fig
Page 137 and 138:
124 Incompressible laminar ¯ow and
Page 139 and 140:
126 Incompressible laminar ¯ow U U
Page 141 and 142:
128 Incompressible laminar ¯ow C L
Page 143 and 144:
130 Incompressible laminar ¯ow are
Page 145 and 146:
132 Incompressible laminar ¯ow sha
Page 147 and 148:
134 Incompressible laminar ¯ow Fig
Page 149 and 150:
136 Incompressible laminar ¯ow 28.
Page 151 and 152:
138 Incompressible laminar ¯ow 71.
Page 153 and 154:
140 Incompressible laminar ¯ow 114
Page 155 and 156:
142 Incompressible laminar ¯ow 153
Page 157 and 158:
144 Free surfaces, buoyancy and tur
Page 159 and 160:
146 Free surfaces, buoyancy and tur
Page 161 and 162: 148 Free surfaces, buoyancy and tur
Page 183 and 184: 170 Compressible high-speed gas ¯o
Page 211: 198 Compressible high-speed gas ¯o
Page 231 and 232: 7 Shallow-water problems 7.1 Introd
Page 233 and 234: 220 Shallow-water problems reduced
Page 235 and 236: 222 Shallow-water problems Approxim
Page 237 and 238: 224 Shallow-water problems These si
Page 239 and 240: 226 Shallow-water problems h = 2 η
Page 241 and 242: 228 Shallow-water problems Surface
Page 243 and 244: 230 Shallow-water problems FL: 578
Page 245 and 246: 232 Shallow-water problems B Fig. 7
Page 247 and 248: 234 Shallow-water problems Time = 0
Page 249 and 250: 236 Shallow-water problems Fig. 7.1
Page 251 and 252: 238 Shallow-water problems where no
Page 253 and 254: 240 Shallow-water problems 14. T.D.
Page 255 and 256: 8 Waves Peter Bettess 8.1 Introduct
Page 257 and 258: 244 Waves the familiar form where
Page 259 and 260: 246 Waves of 10 nodes or thereabout
Page 261 and 262: 248 Waves and the Astley wave envel
Page 263 and 264:
250 Waves agreement with the analyt
Page 265 and 266:
252 Waves Fig. 8.3 General wave dom
Page 267 and 268:
254 Waves Relative errors (%) 10 8
Page 269 and 270:
256 Waves (The indirect boundary in
Page 271 and 272:
258 Waves where m is the number of
Page 273 and 274:
260 Waves Fig. 17.6 of Volume 1. La
Page 275 and 276:
262 Waves to using such coordinate
Page 277 and 278:
264 Waves r/a 5 4 3 2 1 0 0 2 4 6 8
Page 279 and 280:
266 Waves 8.16 Three-dimensional ef
Page 281 and 282:
268 Waves wave elevations in shallo
Page 283 and 284:
270 Waves integrals. Preliminary re
Page 285 and 286:
272 Waves 39. R.J. Astley. FE mode
Page 287 and 288:
9 Computer implementation of the CB
Page 289 and 290:
276 Computer implementation of the
Page 291 and 292:
Page 293 and 294:
Page 295 and 296:
Page 297 and 298:
Page 299 and 300:
Page 301 and 302:
Page 303 and 304:
Page 305 and 306:
292 Appendix A Again substituting t
Page 307 and 308:
294 Appendix B As usual the domain
Page 309 and 310:
296 Appendix B 5. While the piecewi
Page 311 and 312:
Appendix C Edge-based ®nite elemen
Page 313 and 314:
Appendix D Multigrid methods It is
Page 315 and 316:
Appendix E Boundary layer±inviscid
Page 317 and 318:
304 Appendix E In Fig. E.2, Cp is t
Page 320 and 321:
Author index Page numbers in bold r
Page 322 and 323:
Gerdes, K. 259, 264, 265, 272 Ghia,
Page 324 and 325:
Nakos, D.E. 146, 165 Narayana, P.A.
Page 326:
Wu, J. 67, 90; 102, 108, 112, 137;
Page 329 and 330:
316 Subject index Blurring of the s
Page 331 and 332:
318 Subject index Convected coordin
Page 333 and 334:
320 Subject index Elements ± cont.
Page 335 and 336:
322 Subject index Flows: buoyancy d
Page 337 and 338:
324 Subject index Incompressible St
Page 339 and 340:
326 Subject index Metals: hot, 120
Page 341 and 342:
328 Subject index Prescribed tracti
Page 343 and 344:
330 Subject index Shock interaction
Page 345 and 346:
332 Subject index Theorem ± cont.
Page 347:
334 Subject index Wave ± cont. ste
show all

Zienkiewicz O.C., Taylor R.L. Vol. 3. The finite - tiera.ru

You also want an ePaper? Increase the reach of your titles

Delete template?

Save as template?