| Description |
1 online resource (x, 324 pages) : illustrations, color plates |
| Contents |
Machine generated contents note: 1. Introduction -- 1.1. Examples of multiphase flows -- 1.2. Computational modeling -- 1.3. Looking ahead -- 2. Fluid mechanics with interfaces -- 2.1. General principles -- 2.2. Basic equations -- 2.3. Interfaces: description and definitions -- 2.4. Fluid mechanics with interfaces -- 2.5. Fluid mechanics with interfaces: the one-fluid formulation -- 2.6. Nondimensional numbers -- 2.7. Thin films, intermolecular forces, and contact lines -- 2.8. Notes -- 3. Numerical solutions of the Navier -- Stokes equations -- 3.1. Time integration -- 3.2. Spatial discretization -- 3.3. Discretization of the advection terms -- 3.4. The viscous terms -- 3.5. The pressure equation -- 3.6. Velocity boundary conditions |
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3.7. Outflow boundary conditions -- 3.8. Adaptive mesh refinement -- 3.9. Summary -- 3.10. Postscript: conservative versus non-conservative form -- 4. Advecting a fluid interface -- 4.1. Notations -- 4.2. Advecting the color function -- 4.3. The volume-of-fluid (VOF) method -- 4.4. Front tracking -- 4.5. The level-set method -- 4.6. Phase-field methods -- 4.7. The CIP method -- 4.8. Summary -- 5. The volume-of-fluid method -- 5.1. Basic properties -- 5.2. Interface reconstruction -- 5.3. Tests of reconstruction methods -- 5.4. Interface advection -- 5.5. Tests of reconstruction and advection methods -- 5.6. Hybrid methods -- 6. Advecting marker points: front tracking -- 6.1. The structure of the front -- 6.2. Restructuring the fronts -- 6.3. The front-grid communications -- 6.4. Advection of the front |
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6.5. Constructing the marker function -- 6.6. Changes in the front topology -- 6.7. Notes -- 7. Surface tension -- 7.1. Computing surface tension from marker functions -- 7.2. Computing the surface tension of a tracked front -- 7.3. Testing the surface tension methods -- 7.4. More sophisticated surface tension methods -- 7.5. Conclusion on numerical methods -- 8. Disperse bubbly flows -- 8.1. Introduction -- 8.2. Homogeneous bubbly flows -- 8.3. Bubbly flows in vertical channels -- 8.4. Discussion -- 9. Atomization and breakup -- 9.1. Introduction -- 9.2. Thread, sheet, and rim breakup -- 9.3. High-speed jets -- 9.4. Atomization simulations -- 10. Droplet collision, impact, and splashing -- 10.1. Introduction -- 10.2. Early simulations -- 10.3. Low-velocity impacts and collisions -- 10.4. More complex slow impacts |
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10.5. Corolla, crowns, and splashing impacts -- 11. Extensions -- 11.1. Additional fields and surface physics -- 11.2. Imbedded boundaries -- 11.3. Multiscale issues -- 11.4. Summary -- Appendix A Interfaces: description and definitions -- A.1. Two-dimensional geometry -- A.2. Three-dimensional geometry -- A.3. Axisymmetric geometry -- A.4. Differentiation and integration on surfaces -- Appendix B Distributions concentrated on the interface -- B.1. A simple example -- Appendix C Cube-chopping algorithm -- C.1. Two-dimensional problem -- C.2. Three-dimensional problem -- Appendix D The dynamics of liquid sheets: linearized theory -- D.1. Flow configuration -- D.2. Inviscid results -- D.3. Viscous theory for the Kelvin -- Helmholtz instability |
| Summary |
A comprehensive introduction to direct numerical simulations of multiphase flows for researchers and graduate students in various fields |
| Bibliography |
Includes bibliographical references (pages 295-321) and index |
| Notes |
English |
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Print version record |
| Subject |
Multiphase flow -- Mathematical models
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Gas-liquid interfaces.
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SCIENCE -- Mechanics -- Hydrodynamics.
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Gas-liquid interfaces
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Multiphase flow -- Mathematical models
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| Form |
Electronic book
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| Author |
Scardovelli, Ruben, author
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Zaleski, S., author
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| ISBN |
9781139160780 |
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1139160788 |
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9780511975264 |
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0511975260 |
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9781139158732 |
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1139158732 |
|
1283342146 |
|
9781283342148 |
|
1139156977 |
|
9781139156974 |
|
1107218071 |
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9781107218079 |
|
9786613342140 |
|
6613342149 |
|
1139155229 |
|
9781139155229 |
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9780521787505 |
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0521787505 |
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