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

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6.8 Three-dimensional inviscid examples in .......... steady state 6.9 Transient two and three-dimensional ................... problems 6.10 Viscous ................................. problems in two dimensions 6.11 Three-dimensional ................................. viscous problems 6.12 Boundary layer-inviscid Euler ................. solution coupling ....................................................... 6.13 Concluding remarks ............................................. 7 Shallow-water problems ....................................... 7.1 Introduction 7.2 The basis of the ............................ shallow-water equations ...................................................... 7.3 Numerical approximation ....................................................... 7.4 Examples of application ......................................... 7.5 Drying areas ........................................................ 7.6 Shallow-water transport ...................... 8 Waves ................................................... 8.1 Introduction and equations 8.2 Waves in closed domains - finite ............... element models 8.3 Difficulties ................................. in modelling surface waves ................................................ 8.4 Bed friction and other effects ....................................................... 8.5 The short-wave problem 8.6 Waves in unbounded domains (exterior surface wave ............................... problems) ....................................................... 8.7 Unbounded problems ................................................... 8.8 Boundary dampers .................................................. 8.9 Linking to exterior solutions ................................................. 8.10 Infinite elements 8.11 Mapped ...................................... periodic infinite elements 8.12 Ellipsoidal type infinite elements of Burnnet and ... Holford 8.13 ........................................ Wave envelope infinite elements .............................................. 8.14 Accuracy of infinite elements 8.15 Transient problems 8.16 Three-dimensional effects ...................... in surface waves 9 Computer implementation of the CBS algorithm .....
....................................... 9.1 Introduction ........................................................ 9.2 The data input module .............................................. 9.3 Solution module ............................................ 9.4 Output module 9.5 ........................................... Possible extensions to CBSflow Appendix A Non-conservative form of ................................................ Navier-Stokes equations Appendix B Discontinuous Galerkin methods in the solution of the convection-diffusion ...... equation Appendix C Edge-based finite element forumlation ... Appendix ...................................... D Multigrid methods Appendix E Boundary layer-inviscid flow coupling .... .............................. Author index ............................... Subject index
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: 3.7 The performance of two- and sin
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Page 13 and 14: xiv Preface to Volume 3 this algori
Page 15 and 16: 2 Introduction and the equations of
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46 Convection dominated problems sp
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48 Convection dominated problems ag
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50 Convection dominated problems To
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52 Convection dominated problems C
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54 Convection dominated problems Th
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56 Convection dominated problems an
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58 Convection dominated problems Th
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60 Convection dominated problems Ma
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62 Convection dominated problems 47
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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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122 Incompressible laminar ¯ow Fig
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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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144 Free surfaces, buoyancy and tur
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170 Compressible high-speed gas ¯o
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7 Shallow-water problems 7.1 Introd
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220 Shallow-water problems reduced
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222 Shallow-water problems Approxim
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224 Shallow-water problems These si
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226 Shallow-water problems h = 2 η
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228 Shallow-water problems Surface
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230 Shallow-water problems FL: 578
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232 Shallow-water problems B Fig. 7
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234 Shallow-water problems Time = 0
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236 Shallow-water problems Fig. 7.1
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238 Shallow-water problems where no
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240 Shallow-water problems 14. T.D.
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8 Waves Peter Bettess 8.1 Introduct
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244 Waves the familiar form where
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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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