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The Computational Methods in Transport: Granlibakken 2004 book is based on a series of lectures given in Lake Tahoe California in September of 2004. The Granlibakken workshop was devoted to providing a forum where computational transport researchers in a variety of disciplines could communicate across disciplinary boundaries their methods and their methods successes and failures. This book captures both the breadth and depth of computational transport in mathematics, astrophysics, high energy density physics, atmospheric physics, oceanography, plant canopies, and nuclear reactors.




The Computational Methods in Transport: Granlibakken 2004 book is based on a series of lectures given in Lake Tahoe California in September of 2004. The Granlibakken workshop was devoted to providing a forum where computational transport researchers in a variety of disciplines could communicate across disciplinary boundaries their methods and their methods successes and failures. This book captures both the breadth and depth of computational transport in mathematics, astrophysics, high energy density physics, atmospheric physics, oceanography, plant canopies, and nuclear reactors.


Content:
Front Matter....Pages I-XVII
Front Matter....Pages I-XVII
Radiation Hydrodynamics in Astrophysics....Pages 1-14
Radiative Transfer in Astrophysical Applications....Pages 15-33
Neutrino Transport in Core Collapse Supernovae....Pages 35-68
Discrete-Ordinates Methods for Radiative Transfer in the Non-Relativistic Stellar Regime....Pages 69-81
Front Matter....Pages I-XVII
Effective Propagation Kernels in Structured Media with Broad Spatial Correlations, Illustration with Large-Scale Transport of Solar Photons Through Cloudy Atmospheres....Pages 85-140
Mathematical Simulation of the Radiative Transfer in Statistically Inhomogeneous Clouds....Pages 141-149
Transport Theory for Optical Oceanography....Pages 151-163
Perturbation Technique in 3D Cloud Optics: Theory and Results....Pages 165-171
Vegetation Canopy Reflectance Modeling with Turbid Medium Radiative Transfer....Pages 173-210
Rayspread: A Virtual Laboratory for Rapid BRF Simulations Over 3-D Plant Canopies....Pages 211-231
Front Matter....Pages I-XVII
Use of the Space Adaptive Algorithm to Solve 2D Problems of Photon Transport and Interaction with Medium....Pages 235-254
Accurate and Efficient Radiation Transport in Optically Thick Media – by Means of the Symbolic Implicit Monte Carlo Method in the Difference Formulation....Pages 255-282
An Evaluation of the Difference Formulation for Photon Transport in a Two Level System....Pages 283-306
Non-LTE Radiation Transport in High Radiation Plasmas....Pages 307-325
Finite-Difference Methods Implemented in SATURN Complex to Solve Multidimensional Time-Dependent Transport Problems....Pages 327-352
Implicit Solution of Non-Equilibrium Radiation Diffusion Including Reactive Heating Source in Material Energy Equation....Pages 353-370
Front Matter....Pages I-XVII
Transport Approximations in Partially Diffusive Media....Pages 373-400
High Order Finite Volume Nonlinear Schemes for the Boltzmann Transport Equation....Pages 401-422
Obtaining Identical Results on Varying Numbers of Processors in Domain Decomposed Particle Monte Carlo Simulations....Pages 423-433
KM-Method of Iteration Convergence Acceleration for Solving a 2D Time-Dependent Multiple-Group Transport Equation and its Modifications....Pages 435-443
Front Matter....Pages I-XVII
A Regularized Boltzmann Scattering Operator for Highly Forward Peaked Scattering....Pages 445-455
Implicit Riemann Solvers for the Pn Equations....Pages 457-467
The Solution of the Time–Dependent SN Equations on Parallel Architectures....Pages 469-486
Different Algorithms of 2D Transport Equation Parallelization on Random Non-Orthogonal Grids....Pages 487-496
Front Matter....Pages I-XVII
Parallel Deterministic Neutron Transport with AMR....Pages 499-512
An Overview of Neutron Transport Problems and Simulation Techniques....Pages 513-534
Back Matter....Pages 535-539


The Computational Methods in Transport: Granlibakken 2004 book is based on a series of lectures given in Lake Tahoe California in September of 2004. The Granlibakken workshop was devoted to providing a forum where computational transport researchers in a variety of disciplines could communicate across disciplinary boundaries their methods and their methods successes and failures. This book captures both the breadth and depth of computational transport in mathematics, astrophysics, high energy density physics, atmospheric physics, oceanography, plant canopies, and nuclear reactors.


Content:
Front Matter....Pages I-XVII
Front Matter....Pages I-XVII
Radiation Hydrodynamics in Astrophysics....Pages 1-14
Radiative Transfer in Astrophysical Applications....Pages 15-33
Neutrino Transport in Core Collapse Supernovae....Pages 35-68
Discrete-Ordinates Methods for Radiative Transfer in the Non-Relativistic Stellar Regime....Pages 69-81
Front Matter....Pages I-XVII
Effective Propagation Kernels in Structured Media with Broad Spatial Correlations, Illustration with Large-Scale Transport of Solar Photons Through Cloudy Atmospheres....Pages 85-140
Mathematical Simulation of the Radiative Transfer in Statistically Inhomogeneous Clouds....Pages 141-149
Transport Theory for Optical Oceanography....Pages 151-163
Perturbation Technique in 3D Cloud Optics: Theory and Results....Pages 165-171
Vegetation Canopy Reflectance Modeling with Turbid Medium Radiative Transfer....Pages 173-210
Rayspread: A Virtual Laboratory for Rapid BRF Simulations Over 3-D Plant Canopies....Pages 211-231
Front Matter....Pages I-XVII
Use of the Space Adaptive Algorithm to Solve 2D Problems of Photon Transport and Interaction with Medium....Pages 235-254
Accurate and Efficient Radiation Transport in Optically Thick Media – by Means of the Symbolic Implicit Monte Carlo Method in the Difference Formulation....Pages 255-282
An Evaluation of the Difference Formulation for Photon Transport in a Two Level System....Pages 283-306
Non-LTE Radiation Transport in High Radiation Plasmas....Pages 307-325
Finite-Difference Methods Implemented in SATURN Complex to Solve Multidimensional Time-Dependent Transport Problems....Pages 327-352
Implicit Solution of Non-Equilibrium Radiation Diffusion Including Reactive Heating Source in Material Energy Equation....Pages 353-370
Front Matter....Pages I-XVII
Transport Approximations in Partially Diffusive Media....Pages 373-400
High Order Finite Volume Nonlinear Schemes for the Boltzmann Transport Equation....Pages 401-422
Obtaining Identical Results on Varying Numbers of Processors in Domain Decomposed Particle Monte Carlo Simulations....Pages 423-433
KM-Method of Iteration Convergence Acceleration for Solving a 2D Time-Dependent Multiple-Group Transport Equation and its Modifications....Pages 435-443
Front Matter....Pages I-XVII
A Regularized Boltzmann Scattering Operator for Highly Forward Peaked Scattering....Pages 445-455
Implicit Riemann Solvers for the Pn Equations....Pages 457-467
The Solution of the Time–Dependent SN Equations on Parallel Architectures....Pages 469-486
Different Algorithms of 2D Transport Equation Parallelization on Random Non-Orthogonal Grids....Pages 487-496
Front Matter....Pages I-XVII
Parallel Deterministic Neutron Transport with AMR....Pages 499-512
An Overview of Neutron Transport Problems and Simulation Techniques....Pages 513-534
Back Matter....Pages 535-539
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