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

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6.9 Transient two and three-dimensional problems In all of the previous problems the time stepping was used simply as an iterative device for reaching the steady-state solutions. However this can be used in real time and the transient situation can be studied e€ectively. Many such transient problems have been Con®ning walls Transient two and three-dimensional problems 195 Fig. 6.17 A transient problem with adaptive remeshing. 73 Simulation of a sudden failure of a pressure vessel. Progression of re®nement and velocity patterns shown. Initial mesh 518 nodes.
196 Compressible high-speed gas ¯ow dealt with from time to time and here we illustrate the process on three examples. <strong>The</strong> ®rst one concerns an exploding pressure vessel 73 as a two-dimensional model as shown in Fig. 6.17. Here of course adaptivity had to be used and the mesh is regenerated every few steps to reproduce the transient motion of the shock front. A similar computation is shown in Fig. 6.18 where a diagrammatic form of a shuttle launch is modelled again as a two-dimensional problem. 73 Of course this twodimensional model is purely imaginary but it is useful for showing the general NE = 7870 NP = 4130 NE = 7377 NP = 3867 NE = 6847 NP = 3580 NE = 8459 NP = 4379 Fig. 6.18 A transient problem with adaptive remeshing. 73 Model of the separation of shuttle and rocket. Mach 2, angle of attack ÿ48, initial mesh 4130 nodes.
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The Finite Element Method Fifth edi
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The Finite Element Method Fifth edi
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Dedication This book is dedicated t
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3.7 The performance of two- and sin
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Volume 2: Solid and structural mech
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xiv Preface to Volume 3 this algori
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2 Introduction and the equations of
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10 Introduction and the equations o
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12 Introduction and the equations o
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14 Convection dominated problems We
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20 Convection dominated problems i.
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22 Convection dominated problems 2
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32 Convection dominated problems 2.
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60 Convection dominated problems Ma
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3 A general algorithm for compressi
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66 A general algorithm for compress
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92 Incompressible laminar ¯ow Cons
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94 Incompressible laminar ¯ow and,
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96 Incompressible laminar ¯ow V/V
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98 Incompressible laminar ¯ow The
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100 Incompressible laminar ¯ow 1.5
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102 Incompressible laminar ¯ow p 1
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104 Incompressible laminar ¯ow �
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106 Incompressible laminar ¯ow x 2
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108 Incompressible laminar ¯ow Thi
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114 Incompressible laminar ¯ow (a)
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116 Incompressible laminar ¯ow (b)
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118 Incompressible laminar ¯ow wit
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120 Incompressible laminar ¯ow The
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122 Incompressible laminar ¯ow Fig
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124 Incompressible laminar ¯ow and
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126 Incompressible laminar ¯ow U U
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128 Incompressible laminar ¯ow C L
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130 Incompressible laminar ¯ow are
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132 Incompressible laminar ¯ow sha
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134 Incompressible laminar ¯ow Fig
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136 Incompressible laminar ¯ow 28.
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138 Incompressible laminar ¯ow 71.
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140 Incompressible laminar ¯ow 114
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142 Incompressible laminar ¯ow 153
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Page 231 and 232: 7 Shallow-water problems 7.1 Introd
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Page 255 and 256: 8 Waves Peter Bettess 8.1 Introduct
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246 Waves of 10 nodes or thereabout
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248 Waves and the Astley wave envel
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250 Waves agreement with the analyt
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252 Waves Fig. 8.3 General wave dom
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254 Waves Relative errors (%) 10 8
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256 Waves (The indirect boundary in
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258 Waves where m is the number of
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260 Waves Fig. 17.6 of Volume 1. La
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262 Waves to using such coordinate
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264 Waves r/a 5 4 3 2 1 0 0 2 4 6 8
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266 Waves 8.16 Three-dimensional ef
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268 Waves wave elevations in shallo
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270 Waves integrals. Preliminary re
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272 Waves 39. R.J. Astley. FE mode
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9 Computer implementation of the CB
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276 Computer implementation of the
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292 Appendix A Again substituting t
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294 Appendix B As usual the domain
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296 Appendix B 5. While the piecewi
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Appendix C Edge-based ®nite elemen
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Appendix D Multigrid methods It is
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Appendix E Boundary layer±inviscid
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304 Appendix E In Fig. E.2, Cp is t
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Author index Page numbers in bold r
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Gerdes, K. 259, 264, 265, 272 Ghia,
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Nakos, D.E. 146, 165 Narayana, P.A.
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Wu, J. 67, 90; 102, 108, 112, 137;
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316 Subject index Blurring of the s
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318 Subject index Convected coordin
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320 Subject index Elements ± cont.
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322 Subject index Flows: buoyancy d
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324 Subject index Incompressible St
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326 Subject index Metals: hot, 120
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328 Subject index Prescribed tracti
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330 Subject index Shock interaction
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332 Subject index Theorem ± cont.
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334 Subject index Wave ± cont. ste
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Zienkiewicz O.C., Taylor R.L. Vol. 3. The finite - tiera.ru

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