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PhD_Thesis_RBC.out
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\BOOKMARK [0][]{Title.0}{Title}{}% 1
\BOOKMARK [0][]{Title.0}{Title}{}% 2
\BOOKMARK [0][]{Acknowledgments.0}{Acknowledgments}{}% 3
\BOOKMARK [0][]{Abstract.0}{Abstract}{}% 4
\BOOKMARK [0][]{Resumo.0}{Resumo}{}% 5
\BOOKMARK [0][]{index.0}{Index}{}% 6
\BOOKMARK [1][]{toc.1}{Contents}{index.0}% 7
\BOOKMARK [1][]{lof.1}{List of Figures}{index.0}% 8
\BOOKMARK [1][]{lot.1}{List of Tables}{index.0}% 9
\BOOKMARK [1][]{loac.1}{List of Acronyms}{index.0}% 10
\BOOKMARK [1][]{los.1}{List of Symbols}{index.0}% 11
\BOOKMARK [0][]{chapter.1}{1 Introduction}{}% 12
\BOOKMARK [1][]{section.1.1}{1.1 Mathematical Modeling of Solid-Fluid Flows, an Overview}{chapter.1}% 13
\BOOKMARK [1][]{section.1.2}{1.2 Objectives and Structure of the Dissertation}{chapter.1}% 14
\BOOKMARK [0][]{chapter.2}{2 Conceptual Models}{}% 15
\BOOKMARK [1][]{section.2.1}{2.1 Governing Equations for a Fluid Model}{chapter.2}% 16
\BOOKMARK [2][]{subsection.2.1.1}{2.1.1 Continuity equation}{section.2.1}% 17
\BOOKMARK [2][]{subsection.2.1.2}{2.1.2 Navier-Stokes equation}{section.2.1}% 18
\BOOKMARK [2][]{subsection.2.1.3}{2.1.3 Newtonian Fluids}{section.2.1}% 19
\BOOKMARK [2][]{subsection.2.1.4}{2.1.4 Boundary conditions}{section.2.1}% 20
\BOOKMARK [1][]{section.2.2}{2.2 Contact Mechanics for Fully Elastic Stiff Solids}{chapter.2}% 21
\BOOKMARK [0][]{chapter.3}{3 Numerical Discretization}{}% 22
\BOOKMARK [1][]{section.3.1}{3.1 Integral Interpolation and the SPH Method}{chapter.3}% 23
\BOOKMARK [2][]{subsection.3.1.1}{3.1.1 Introduction}{section.3.1}% 24
\BOOKMARK [2][]{subsection.3.1.2}{3.1.2 Continuous Interpolation}{section.3.1}% 25
\BOOKMARK [2][]{subsection.3.1.3}{3.1.3 Kernels}{section.3.1}% 26
\BOOKMARK [2][]{subsection.3.1.4}{3.1.4 Discrete Interpolation}{section.3.1}% 27
\BOOKMARK [1][]{section.3.2}{3.2 Fluid discretization}{chapter.3}% 28
\BOOKMARK [2][]{subsection.3.2.1}{3.2.1 Turbulence modeling}{section.3.2}% 29
\BOOKMARK [2][]{subsection.3.2.2}{3.2.2 Density and pressure fields}{section.3.2}% 30
\BOOKMARK [2][]{subsection.3.2.3}{3.2.3 Boundary Conditions}{section.3.2}% 31
\BOOKMARK [1][]{section.3.3}{3.3 Solid discretization: combining SPH and DEM}{chapter.3}% 32
\BOOKMARK [2][]{subsection.3.3.1}{3.3.1 Rigid body discretization}{section.3.3}% 33
\BOOKMARK [2][]{subsection.3.3.2}{3.3.2 Force discretization: the DEM model}{section.3.3}% 34
\BOOKMARK [1][]{section.3.4}{3.4 Time Integration and Stability Region}{chapter.3}% 35
\BOOKMARK [0][]{chapter.4}{4 HPC Implementation}{}% 36
\BOOKMARK [1][]{section.4.1}{4.1 CPU-GPU Implementation}{chapter.4}% 37
\BOOKMARK [2][]{subsection.4.1.1}{4.1.1 CPU Implementation}{section.4.1}% 38
\BOOKMARK [2][]{subsection.4.1.2}{4.1.2 GPU Implementation}{section.4.1}% 39
\BOOKMARK [2][]{subsection.4.1.3}{4.1.3 Multi-GPU MPI Implementation}{section.4.1}% 40
\BOOKMARK [3][]{subsubsection.4.1.3.1}{4.1.3.A Rigid Body MPI Chalenges}{subsection.4.1.3}% 41
\BOOKMARK [0][]{chapter.5}{5 Validations and Tests}{}% 42
\BOOKMARK [1][]{section.5.1}{5.1 Fluid Flow}{chapter.5}% 43
\BOOKMARK [2][]{subsection.5.1.1}{5.1.1 Hagen-Poiseuille Flow}{section.5.1}% 44
\BOOKMARK [2][]{subsection.5.1.2}{5.1.2 Couette Flow}{section.5.1}% 45
\BOOKMARK [2][]{subsection.5.1.3}{5.1.3 Dam Break Flow}{section.5.1}% 46
\BOOKMARK [1][]{section.5.2}{5.2 Rigid Bodies: Fluid-Structure Interaction}{chapter.5}% 47
\BOOKMARK [2][]{subsection.5.2.1}{5.2.1 Free stream consistency}{section.5.2}% 48
\BOOKMARK [2][]{subsection.5.2.2}{5.2.2 Buoyancy and Fluid/Solid Interfaces}{section.5.2}% 49
\BOOKMARK [3][]{subsubsection.5.2.2.1}{5.2.2.A Fluid/Solid Interfaces}{subsection.5.2.2}% 50
\BOOKMARK [3][]{subsubsection.5.2.2.2}{5.2.2.B Buoyancy: analytical and numerical solutions}{subsection.5.2.2}% 51
\BOOKMARK [3][]{subsubsection.5.2.2.3}{5.2.2.C Buoyancy: experimental solutions}{subsection.5.2.2}% 52
\BOOKMARK [3][]{subsubsection.5.2.2.4}{5.2.2.D Equilibrium position of floating bodies}{subsection.5.2.2}% 53
\BOOKMARK [2][]{subsection.5.2.3}{5.2.3 Normal Dry Collisions}{section.5.2}% 54
\BOOKMARK [2][]{subsection.5.2.4}{5.2.4 Experimental Validation: Dam-break with moving obstacles}{section.5.2}% 55
\BOOKMARK [3][]{subsubsection.5.2.4.1}{5.2.4.A Configuration I}{subsection.5.2.4}% 56
\BOOKMARK [3][]{subsubsection.5.2.4.2}{5.2.4.B Configuration II}{subsection.5.2.4}% 57
\BOOKMARK [3][]{subsubsection.5.2.4.3}{5.2.4.C Configuration III}{subsection.5.2.4}% 58
\BOOKMARK [2][]{subsection.5.2.5}{5.2.5 Flow field at impact locus}{section.5.2}% 59
\BOOKMARK [0][]{chapter.6}{6 Applications}{}% 60
\BOOKMARK [1][]{section.6.1}{6.1 Coastal Geomorphology}{chapter.6}% 61
\BOOKMARK [1][]{section.6.2}{6.2 Sines Port}{chapter.6}% 62
\BOOKMARK [1][]{section.6.3}{6.3 Debris Flow}{chapter.6}% 63
\BOOKMARK [0][]{chapter.7}{7 Conclusions and Recommendations}{}% 64
\BOOKMARK [1][]{section.7.1}{7.1 Conclusions}{chapter.7}% 65
\BOOKMARK [1][]{section.7.2}{7.2 Recommendations for Future Developments}{chapter.7}% 66
\BOOKMARK [0][]{section.7.2}{Bibliography}{}% 67