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1 | (27) |
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1 | (1) |
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Nature and major qualitative universal features of turbulent flows |
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2 | (17) |
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Representative examples of turbulent flows |
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2 | (13) |
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In lieu of definition: major qualitative universal features of turbulent flows |
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15 | (4) |
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Why turbulence is so impossibly difficult? The three N's |
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19 | (6) |
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On the Navier-Stokes equations |
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19 | (2) |
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On the nature of the problem |
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21 | (1) |
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22 | (1) |
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22 | (1) |
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23 | (1) |
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24 | (1) |
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24 | (1) |
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Outline of the following material |
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25 | (1) |
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26 | (1) |
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27 | (6) |
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27 | (2) |
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Transition to turbulence versus routes to chaos |
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29 | (2) |
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Many ways of creating turbulent flows |
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31 | (1) |
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32 | (1) |
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Methods of Describing of Turbulent Flows |
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33 | (14) |
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Deterministic versus random/stochastic or how `statistical' is turbulence? |
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34 | (3) |
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On statistical theories, reduced (low dimensional) representations and related matters |
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37 | (3) |
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Turbulence versus deterministic chaos |
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40 | (1) |
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Statistical methods of looking at the data only? Or what kind of statistics one needs? |
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41 | (2) |
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Decompositions/representations |
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43 | (2) |
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45 | (2) |
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47 | (18) |
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Passive objects in random fluid flows |
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47 | (9) |
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53 | (3) |
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Kinematic/Lagrangian chaos/advection |
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56 | (3) |
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On the relation between Eulerian and Lagrangian fields |
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59 | (1) |
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On analogies and relations between passive and active fields |
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60 | (2) |
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62 | (3) |
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65 | (18) |
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65 | (1) |
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Kolmogorov phenomenology and related subjects |
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66 | (7) |
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73 | (4) |
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73 | (1) |
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Is there cascade in physical space? |
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74 | (3) |
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What are the `small scales' in turbulent flows? |
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77 | (3) |
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Cascade of passive objects? |
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80 | (1) |
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81 | (2) |
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83 | (68) |
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83 | (2) |
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Why velocity derivatives? |
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85 | (7) |
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Vortex stretching and enstrophy production |
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86 | (3) |
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89 | (3) |
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Self-amplification of the field of velocity derivatives |
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92 | (6) |
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98 | (15) |
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100 | (1) |
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The geometry of vortex stretching |
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101 | (12) |
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Depression of nonlinearity |
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113 | (5) |
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Relative depression of nonlinearity in regions with concentrated vorticity |
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114 | (1) |
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Are regions of concentrated vorticity quasionedimensional? |
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115 | (3) |
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118 | (12) |
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Introduction and simple examples |
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118 | (3) |
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Different aspects of nonlocality |
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121 | (9) |
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Acceleration and related matters |
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130 | (10) |
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The relation between the total acceleration and its local and convective components |
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131 | (4) |
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The relation between the total acceleration and its irrotational and solenoidal components |
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135 | (2) |
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137 | (2) |
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Kinematical versus dynamical effects |
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139 | (1) |
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Non-Gaussian nature of turbulence |
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140 | (11) |
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141 | (2) |
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Quasi-Gaussian manifestations |
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143 | (4) |
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Irreversibility of turbulence |
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147 | (1) |
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148 | (3) |
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Structure(S) of Turbulent Flows |
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151 | (30) |
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151 | (1) |
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152 | (13) |
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What is small scale intermittency? |
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153 | (1) |
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Measures/manifestations of intermittency |
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154 | (8) |
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On possible origins of small scale intermittency |
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162 | (3) |
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What is(are) structure(s) of turbulent flows? |
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165 | (11) |
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On the origins of structure(s) of/in turbulence |
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165 | (3) |
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How does the structure of turbulence `look'? |
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168 | (2) |
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Structure versus statistics |
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170 | (3) |
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Examples of statistics weakly sensitive to structure(s) |
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173 | (1) |
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Structure sensitive statistics |
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174 | (2) |
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Which quantities possess structure in turbulence and how to `dig' them out? |
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176 | (5) |
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Structure(s) versus scales and decompositions |
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177 | (1) |
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178 | (3) |
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Turbulence Under Various Influences and Physical Circumstances |
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181 | (46) |
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181 | (2) |
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183 | (9) |
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Partly turbulent flows - entrainment |
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192 | (4) |
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196 | (7) |
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196 | (3) |
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199 | (4) |
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203 | (1) |
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203 | (3) |
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206 | (1) |
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Negative eddy viscosity phenomena |
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206 | (5) |
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207 | (3) |
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210 | (1) |
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211 | (1) |
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Magnetohydrodynamic flows |
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211 | (3) |
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Two-dimensional turbulence |
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214 | (6) |
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Pure two-dimensional versus quasi-two-dimensional |
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216 | (2) |
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Some additional differences between two-dimensional and three-dimensional turbulence |
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218 | (2) |
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220 | (7) |
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227 | (10) |
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227 | (6) |
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On universal aspects of turbulence structure |
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228 | (2) |
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Reynolds number dependence |
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230 | (2) |
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Self-amplification of velocity derivatives |
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232 | (1) |
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Depression of nonlinearity |
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233 | (1) |
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Some mathematical and related aspects |
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233 | (2) |
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On the goals of basic research in turbulence |
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235 | (2) |
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Appendix A. What is Turbulence? |
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237 | (6) |
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Appendix B. About the 'Snags' of the Problem |
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243 | (4) |
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Appendix C. Glossary of Essential Fluid Mechanics |
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247 | (22) |
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247 | (1) |
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248 | (9) |
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Basic equations and their consequences |
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248 | (6) |
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Some additional consequences from the NSE and invariant quantities |
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254 | (2) |
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Symmetries of Euler and Navier-Stokes equations |
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256 | (1) |
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257 | (2) |
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257 | (1) |
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257 | (2) |
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Some basic relations for the statistical description of turbulent flows |
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259 | (10) |
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Scaling, scales and related matters |
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260 | (3) |
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Reynolds averaged Navier-Stokes equations and related |
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263 | (3) |
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266 | (1) |
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Equations governing the dynamics of `error' |
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267 | (2) |
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Appendix D. It is a Misconception That |
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269 | (2) |
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Appendix E. On Methods of Studing Turbulent Flows |
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271 | (4) |
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Direct numerical simulations of the Navier-Stokes equations |
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271 | (1) |
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272 | (3) |
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Appendix F. Glossary of Some Terms |
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275 | (2) |
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277 | (36) |
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313 | (8) |
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321 | |
