Transport in Transition Regimes

ISBN-13: 9781461265078 / Angielski / Miękka / 2012 / 301 str.

Ben Abdallah Naoufel; Anton Arnold; Pierre Degond

Opis

This volume focuses on modeling processes for which transport is one of the most complicated components, requiring different transport models in each region. The authors apply questions to a wide variety of application areas, such as semiconductors, plasmas, fluids, chemically reactive gases, etc.

Spis treści

BGK-Burnett equations: A new set of second-order hydrodynamic equations for flows in continuum-transition regime.- Steady states for Streater’s energy-transport models of self-gravitating particles.- Towards a hybrid Monte Carlo method for rarefied gas dynamics.- Comparison of Monte Carlo and deterministic simulations of a silicon diode.- Discrete-velocity models for numerical simulations in transition al regime for rarefied flows and radiative transfer.- Some recent results on the kinetie theory of phase transitions.- Fluids with multivalued internal energy: The anisotropic case.- A note on the energy-transport limit of the semiconductor Boltzmann equation.- Generalized hydrodynamics and irreversible thermodynamics.- A steady-state capturing method for hyperbolic systems with geometrical source terms.- Maximum entropy moment problems and extended Euler equations.- Numerical methods for radiative heat transfer in diffusive regimes and applications to glass manufacturing.- Hydrodynamic limits of the Boltzmann equation.- Sobolev norm and carrier transport in semiconductors.- The evolution of a gas in a radiation field from a kinetic point of view.- Hybrid partide-based approach for the simulation of semiconductor devices: The full-band cellular automaton/Monte Carlo method.- Some remarks on the equations of Burnett and Grad.- Boundary conditions and boundary layers for a class of linear relaxation systems in a quarter plane.- Combined list of workshops participants for IMA volumes 135: transport in transition regimes and 136: dispersive transport equations and multiscale models.

O autorze

IMA Volumes 135 and 136 focus on mathematical and computational issues
involved in modeling processes that contain a wide range of length
scales over different spatio-temporal regimes.
The papers in these two volumes address applications such as
semiconductors, plasmas, fluids, chemically reactive gases, etc.