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| Introduction | |
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| Disperse multiphase flows | |
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| Two example systems | |
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| Mesoscale modeling approach | |
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| Closure methods for moment transport equations | |
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| A road map | |
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| Mesoscale Description of Polydisperse Systems: | |
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| Number Density Functions (NDF) | |
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| NDF transport equation | |
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| Moment transport equations | |
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| Flow regimes for the PBE | |
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| The moment closure problem | |
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| Quadrature-based Moment Methods: | |
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| Univariate distributions | |
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| Multivariate distributions | |
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| Extended quadrature method of moments (EQMOM) | |
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| Direct quadrature method of moments (DQMOM) | |
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| The Generalized Population Balance Equation: | |
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| Particle-based definition of the NDF | |
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| From the multi-particle-fluid joint PDF to the GPBE | |
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| Moment transport equations | |
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| Moment closures for the GPBE | |
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| Mesoscale Models for Physical and Chemical Processes: | |
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| An overview of mesoscale modeling | |
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| Phase-space advection: mass and heat transfer | |
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| Phase-space advection: momentum transfer | |
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| Real-space advection | |
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| Diffusion processes | |
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| Zero-order point processes | |
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| First-order point processes | |
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| Second-order point processes | |
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| Hard-Sphere Collision Models: | |
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| Monodispere hard-sphere collisions | |
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| Polydispere hard-sphere collisions | |
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| Kinetic models | |
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| Moment transport equations | |
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| Application of quadrature to collision terms | |
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| Solution Methods for Homogeneous Systems: | |
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| Overview of methods | |
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| Class and sectional methods | |
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| Method of moments | |
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| Quadrature-based moment methods | |
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| Monte Carlo methods | |
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| Example homogeneous PBEs | |
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| Moment Methods for Inhomogeneous Systems: | |
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| Overview of spatial modeling issues | |
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| Kinetic-based finite-volume methods | |
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| Inhomogeneous PBE | |
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| Inhomogeneous KE | |
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| Inhomogeneous GPBE | |
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| Concluding remarks | |
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| Appendices | |
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| Moment-inversion algorithms | |
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| Kinetic-based finite-volume methods | |
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| Moment methods with hyperbolic equations | |
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| Direct quadrature method of moments fully conservative | |