- Page 1: Fluidity�Manual Applied Modelling
- Page 5 and 6: Contents 1 Getting started 1 1.1 In
- Page 7 and 8: CONTENTS vii 7.3 The Gmsh format .
- Page 9 and 10: CONTENTS ix 9.4.3 Stat file diagnos
- Page 11 and 12: List of Figures 2.1 Schematic of co
- Page 13 and 14: LIST OF FIGURES xiii 10.8 Schematic
- Page 15 and 16: Chapter 1 Getting started 1.1 Intro
- Page 17 and 18: 1.2 Obtaining Fluidity 3 The third,
- Page 19 and 20: 1.3 Building Fluidity 5 1.2.3.4 Oth
- Page 21: 1.3 Building Fluidity 7 1.3.2.2 Spe
- Page 25 and 26: Chapter 2 Model equations 2.1 How t
- Page 27 and 28: 2.3 Fluid equations 13 2.2.2.2 Neum
- Page 29 and 30: 2.3 Fluid equations 15 2.3.2.2 Comp
- Page 31 and 32: 2.3 Fluid equations 17 2.3.4 Moment
- Page 33 and 34: 2.4 Extensions, assumptions and der
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- Page 39 and 40: Chapter 3 Numerical discretisation
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- Page 63 and 64: 3.3 The time loop 49 The coupled li
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- Page 67 and 68: 3.6 Pressure equation for incompres
- Page 69 and 70: 3.7 Velocity and pressure element p
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3.10 Linear solvers 59 When reachin
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3.11 Algorithm for detectors (Lagra
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Chapter 4 Parameterisations Althoug
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4.1 Generic length scale turbulence
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4.3 Large-Eddy Simulation (LES) 67
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4.3 Large-Eddy Simulation (LES) 69
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Chapter 5 Embedded models The param
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5.1 Biology 73 where kN is the half
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Chapter 6 Adaptive remeshing 6.1 Mo
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6.4 Metric formation 77 By contrast
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6.6 Related topics 79 There are two
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Chapter 7 Mesh generation This chap
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7.2 The triangle format 83 1 Rema
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7.3 The Gmsh format 85 three parts:
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7.6 Decomposing meshes for parallel
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7.9 Non-Fluidity tools 89 7.7 Pseud
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7.9 Non-Fluidity tools 91 7.9.3 Imp
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Chapter 8 Configuring Fluidity 8.1
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8.3 The options tree 95 Figure 8.2:
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8.3 The options tree 97 8.3.4 IO Th
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8.3 The options tree 99 Checkpoint
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8.3 The options tree 101 8.3.5.3 Fi
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8.4 Meshes 103 if t < 4000.0: omega
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8.5 Material/Phase 105 8.4.2.4 Extr
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8.6 Fields 107 dent field). This is
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8.7 Advected quantities: momentum a
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8.7 Advected quantities: momentum a
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8.9 Solution of linear systems 113
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8.10 Equation of State (EoS) 115 8.
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8.11 Subgridscale Parameterisations
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8.12 Boundary conditions 119 8.12.3
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8.12 Boundary conditions 121 • ..
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8.16 Large scale low aspect ratio o
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8.16 Large scale low aspect ratio o
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8.17 Geophysical fluid dynamics pro
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8.18 Mesh adaptivity 129 An Element
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8.19 Multiple material/phase models
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8.19 Multiple material/phase models
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8.20 Compressible fluid model 135 t
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Chapter 9 Visualisation and Diagnos
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9.2 Online diagnostics 139 Gravitat
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9.2 Online diagnostics 141 Absolute
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9.2 Online diagnostics 143 Figure 9
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9.3 Offline diagnostics 145 Program
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9.3 Offline diagnostics 147 Additio
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9.3 Offline diagnostics 149 9.3.3.1
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9.3 Offline diagnostics 151 Script
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9.3 Offline diagnostics 153 TARGET
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9.3 Offline diagnostics 155 Figure
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9.4 The stat file 157 It is also po
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9.4 The stat file 159 9.4.3 Stat fi
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Temperature min fluid .../stat/incl
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9.4 The stat file 163 9.4.3.1 Surfa
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9.4 The stat file 165 ...
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Chapter 10 Examples 10.1 Introducti
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10.2 One dimensional advection 169
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10.3 The lock-exchange 171 10.2.4 E
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10.3 The lock-exchange 173 basic se
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10.4 Lid-driven cavity 175 domain f
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10.5 Backward facing step 177 Figur
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10.5 Backward facing step 179 No-no
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10.5 Backward facing step 181 Evolu
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10.6 Flow past a sphere: drag calcu
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10.7 Rotating periodic channel 185
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10.8 Water column collapse 187 Exam
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10.8 Water column collapse 189 (a)
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10.8 Water column collapse 191 (a)
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10.9 The restratification following
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10.10 Tides in the Mediterranean Se
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10.10 Tides in the Mediterranean Se
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10.10 Tides in the Mediterranean Se
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Bibliography M. T. Ainsworth and J.
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C. J. Cotter, D. A. Ham, and C. C.
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A. Birol Kara, Harley E. Hurlburt,
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J. R. Shewchuk. An introduction to
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Appendix A About this manual A.1 In
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A.3 Style guide 211 The options pro
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A.3 Style guide 213 A.3.8.3 Derivat
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Appendix B Mathematical notation Th
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Appendix C Useful numbers The table
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Appendix D Dimensional analysis D.1
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D.2 Dimensionless parameters 221 Na
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Appendix E The Fluidity Python stat
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E.6 Debugging with an interactive P
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Appendix F External libraries F.1 I
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F.4 Manual install of external libr
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F.4 Manual install of external libr
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F.4 Manual install of external libr
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F.4 Manual install of external libr
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Appendix G Troubleshooting G.1 Back
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Index absorption term . . . . . . .
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geostrophic balance . . . . . . . .