Ebook: Interface and Transport Dynamics: Computational Modelling

The workshop on "computational physics of transport and interfacial dynam­ ics" was held in Dresden, Germany from February 25 to March 8,2002. The Max Planck Institute for the Physics of Complex Systems has sponsored the workshop and the preliminary lecture-based seminar. The workshop has closely pursued the recent progress of research in com­ putational physics and materials science, particularly in modelling both traf­ fic fiow phenomena and complex multi-scale solidification. These branches of science have become topics of considerable diversity linking disciplines as different as physics, mathematical and computational modelling, nonlinear dynamics, materials sciences, statistical mechanics and foundry technique. The international workshop brought together experts from different fields in order to enhance the exchange of knowledge, to assess common interests and to provide closer cooperation between different communities of researchers. The workshop intended to create a comprehensive and coherent image of the current research status and to formulate various possible perspectives for joint future activities. Special emphases laid on exchanging experiences concerning numerical tools and on the bridging of the scales as necessary in a variety of scientific and engineering applications. An interesting possibility along this line was the coupling of different computational approaches leading to hybrid simulations. In this sense, we explicitly addressed researchers working with different numerical schemes as diverse as cellular automata, coupled maps, fi­ nite difference and finite element algorithms for partial differential equations (e. g. phase-field computations).

---

The book contains an overview of the recent progress of research in computational physics and materials science. Particular topics are modelling of traffic flow and complex multi-scale solidification phenomena. The sections introduce novel research results of experts from a considerable diversity of disciplines such as physics, mathematical and computational modelling, nonlinear dynamics, materials sciences, statistical mechanics and foundry technique. The book intends to create a comprehensive and coherent image of the current research status and illustrates new simulation results of transport and interface dynamics by high resolution graphics. Various possible perspectives are formulated for future activities. Special emphasis is laid on exchanging experiences concerning numerical tools and on the bridging of the scales as is necessary in a variety of scientific and engineering applications. An interesting possibility along this line was the coupling of different computational approaches leading to hybrid simulations.

---

The book contains an overview of the recent progress of research in computational physics and materials science. Particular topics are modelling of traffic flow and complex multi-scale solidification phenomena. The sections introduce novel research results of experts from a considerable diversity of disciplines such as physics, mathematical and computational modelling, nonlinear dynamics, materials sciences, statistical mechanics and foundry technique. The book intends to create a comprehensive and coherent image of the current research status and illustrates new simulation results of transport and interface dynamics by high resolution graphics. Various possible perspectives are formulated for future activities. Special emphasis is laid on exchanging experiences concerning numerical tools and on the bridging of the scales as is necessary in a variety of scientific and engineering applications. An interesting possibility along this line was the coupling of different computational approaches leading to hybrid simulations.

Content:
Front Matter....Pages I-XVI
Front Matter....Pages 1-1
Melting Kinetics of Prolate Spheroidal Crystals....Pages 3-19
Deterministic Behaviour in Sidebranching Development....Pages 20-25
Growth Dynamics during Solidification of Undercooled Melts....Pages 26-46
Thermodynamics of Diffuse Interfaces....Pages 47-64
Computer Investigation of the Influence of the Internal Structure Topology on the Percolation Process in Two- and Three-Dimensional Inhomogeneous Systems....Pages 65-74
Electron Transport of Nanoperm Alloys....Pages 75-81
Self-Organized Formation of Fractal and Regular Pores in Semiconductors....Pages 82-87
Evolution and Shapes of Dunes....Pages 88-102
Morphogenesis of Growing Amorphous Films....Pages 103-118
Front Matter....Pages 119-119
Density Effects and Fluid Flow in Phase-field Models....Pages 121-135
A Lattice Boltzmann Method for the Mesoscopic Calculation of Anisotropic Crystal Growth....Pages 136-141
A Phase-field Model for the Solidification Process in Multicomponent Alloys....Pages 142-149
Planar Solidification from Undercooled Melt: An Approximation of a Dilute Binary Alloy for a Phase-field Model....Pages 150-159
Initial Transients in the Symmetric Model for Directional Solidification....Pages 160-165
Dynamics of a Faceted Nematic-Smectic B Front in Thin-Sample Directional Solidification....Pages 166-171
Last Stage Solidification of Alloys: A Theoretical Study of Dendrite Arm and Grain Coalescence....Pages 172-181
Phase-field Modeling of Eutectic Solidification: From Oscillations to Invasion....Pages 182-189
Phase-field Theory of Nucleation and Growth in Binary Alloys....Pages 190-195
Modelling of Phase Transformations in Titanium Alloys with a Phase-field Model....Pages 196-201
Spreading of Liquid Monolayers: From Kinetic Monte Carlo Simulations to Continuum Limit....Pages 202-207
Front Matter....Pages 119-119
A Multi-mesh Finite Element Method for Phase-field Simulations....Pages 208-217
Transport of Point Defects in Growing Si Crystals....Pages 218-225
Atomistic Simulation of Transport Phenomena in Simple and Complex Fluids and Fluid Mixtures....Pages 226-248
Unusual Viscosity Feature in Spinodal Decomposition Under Shear Flow....Pages 249-254
Micro-macro Approach to Cluster Formation in Granular Media....Pages 255-266
Front Matter....Pages 267-267
Urban Transport Phenomena in the Street Canyon....Pages 269-274
Walker Behaviour Modelling by Differential Games....Pages 275-294
Investigations of Vibrations in the Complex Dynamical Systems of Transmission Pipelines....Pages 295-300
Information in Intelligent Transportation System....Pages 301-316
Experiments on Route Choice Behaviour....Pages 317-321
Transport Out of a Gravitationally Stable Layer with the Help of a Faster Diffusing Substance: PDE Simulations and Scaling Laws....Pages 322-328
Microscopic Parameters and Macroscopic Features of Traffic Flow....Pages 329-342
An Adaptive Smoothing Method for Traffic State Identification from Incomplete Information....Pages 343-360
Probabilistic Description of Nucleation in Vapours and on Roads....Pages 361-389
Cellular Automata Simulation of Collective Phenomena in Pedestrian Dynamics....Pages 390-405
Modeling, Simulation and Observations for Freeway Traffic and Pedestrian....Pages 406-421
Testing Traffic Flow Models....Pages 422-432
Back Matter....Pages 433-437

---

The book contains an overview of the recent progress of research in computational physics and materials science. Particular topics are modelling of traffic flow and complex multi-scale solidification phenomena. The sections introduce novel research results of experts from a considerable diversity of disciplines such as physics, mathematical and computational modelling, nonlinear dynamics, materials sciences, statistical mechanics and foundry technique. The book intends to create a comprehensive and coherent image of the current research status and illustrates new simulation results of transport and interface dynamics by high resolution graphics. Various possible perspectives are formulated for future activities. Special emphasis is laid on exchanging experiences concerning numerical tools and on the bridging of the scales as is necessary in a variety of scientific and engineering applications. An interesting possibility along this line was the coupling of different computational approaches leading to hybrid simulations.

Content:
Front Matter....Pages I-XVI
Front Matter....Pages 1-1
Melting Kinetics of Prolate Spheroidal Crystals....Pages 3-19
Deterministic Behaviour in Sidebranching Development....Pages 20-25
Growth Dynamics during Solidification of Undercooled Melts....Pages 26-46
Thermodynamics of Diffuse Interfaces....Pages 47-64
Computer Investigation of the Influence of the Internal Structure Topology on the Percolation Process in Two- and Three-Dimensional Inhomogeneous Systems....Pages 65-74
Electron Transport of Nanoperm Alloys....Pages 75-81
Self-Organized Formation of Fractal and Regular Pores in Semiconductors....Pages 82-87
Evolution and Shapes of Dunes....Pages 88-102
Morphogenesis of Growing Amorphous Films....Pages 103-118
Front Matter....Pages 119-119
Density Effects and Fluid Flow in Phase-field Models....Pages 121-135
A Lattice Boltzmann Method for the Mesoscopic Calculation of Anisotropic Crystal Growth....Pages 136-141
A Phase-field Model for the Solidification Process in Multicomponent Alloys....Pages 142-149
Planar Solidification from Undercooled Melt: An Approximation of a Dilute Binary Alloy for a Phase-field Model....Pages 150-159
Initial Transients in the Symmetric Model for Directional Solidification....Pages 160-165
Dynamics of a Faceted Nematic-Smectic B Front in Thin-Sample Directional Solidification....Pages 166-171
Last Stage Solidification of Alloys: A Theoretical Study of Dendrite Arm and Grain Coalescence....Pages 172-181
Phase-field Modeling of Eutectic Solidification: From Oscillations to Invasion....Pages 182-189
Phase-field Theory of Nucleation and Growth in Binary Alloys....Pages 190-195
Modelling of Phase Transformations in Titanium Alloys with a Phase-field Model....Pages 196-201
Spreading of Liquid Monolayers: From Kinetic Monte Carlo Simulations to Continuum Limit....Pages 202-207
Front Matter....Pages 119-119
A Multi-mesh Finite Element Method for Phase-field Simulations....Pages 208-217
Transport of Point Defects in Growing Si Crystals....Pages 218-225
Atomistic Simulation of Transport Phenomena in Simple and Complex Fluids and Fluid Mixtures....Pages 226-248
Unusual Viscosity Feature in Spinodal Decomposition Under Shear Flow....Pages 249-254
Micro-macro Approach to Cluster Formation in Granular Media....Pages 255-266
Front Matter....Pages 267-267
Urban Transport Phenomena in the Street Canyon....Pages 269-274
Walker Behaviour Modelling by Differential Games....Pages 275-294
Investigations of Vibrations in the Complex Dynamical Systems of Transmission Pipelines....Pages 295-300
Information in Intelligent Transportation System....Pages 301-316
Experiments on Route Choice Behaviour....Pages 317-321
Transport Out of a Gravitationally Stable Layer with the Help of a Faster Diffusing Substance: PDE Simulations and Scaling Laws....Pages 322-328
Microscopic Parameters and Macroscopic Features of Traffic Flow....Pages 329-342
An Adaptive Smoothing Method for Traffic State Identification from Incomplete Information....Pages 343-360
Probabilistic Description of Nucleation in Vapours and on Roads....Pages 361-389
Cellular Automata Simulation of Collective Phenomena in Pedestrian Dynamics....Pages 390-405
Modeling, Simulation and Observations for Freeway Traffic and Pedestrian....Pages 406-421
Testing Traffic Flow Models....Pages 422-432
Back Matter....Pages 433-437
....