Graziani F. Computational Methods in Transport 2008

Textbook in PDF format

In a wide variety of applications, accurate simulation of particle transport
is necessary whether those particles be photons, neutrinos, or charged particles. For inertial confinement fusion, where one is dealing with either direct drive through photon or ion beams or indirect drive via thermal photons in a hohlraum, the accurate transport of energy around and into tiny capsules requires high-order transport solutions for photons and electrons. In astrophysics, the life cycle of the stars, their formation, evolution, and death all require transport of photons and neutrinos. In planetary atmospheres, cloud variability and radiative transfer play a key role in understanding climate.
These few examples are just a small subset of the applications where an accurate and fast determination of particle transport is required.
Verification (Mostly) for High Energy Density Radiation Transport: Five Case Studies
A General Strategy for Physics-Based Model Validation Illustrated with Earthquake Phenomenology, Atmospheric Radiative Transfer, and Computational Fluid Dynamics
Spectral Solvers to Non-Conservative Transport for Non-Linear Interactive Systems of Boltzmann Type
The Art of Analytical Benchmarking
Implicit Monte Carlo Radiation Transport Simulations of Four Test Problems
The Prompt Spectrum of a Radiating Sphere: Benchmark Solutions for Diffusion and Transport
Some Verification Problems with Possible Transport Applications
Canopy Reflectance Model Benchmarking: RAMI and the ROMC
Uncertainty and Sensitivity Analysis for Models of Complex Systems
A Brief Overview of the State-of-the-Practice and Current Challenges of Solution Verification
Expert Panel Opinion and Global Sensitivity Analysis for Composite Indicators
A Practical Global Sensitivity Analysis Methodology for Multi-Physics Applications