Multiple Time Scales

Jeremiah U. Brackbill, Bruce I. Cohen

• Publisher: Academic Press
• Year: 2014
• ISBN:
  9781483257563
• Topic: Mathematics
• Subtopic: Calculus
• Index: Mathematics

Multiple Time Scales presents various numerical methods for solving multiple-time-scale problems. The selection first elaborates on considerations on solving problems with multiple scales; problems with different time scales; and nonlinear normal-mode initialization of numerical weather prediction models. Discussions focus on analysis of observations, nonlinear analysis, systems of ordinary differential equations, and numerical methods for problems with multiple scales. The text then examines the diffusion-synthetic acceleration of transport iterations, with application to a radiation hydrodynamics problem and implicit methods in combustion and chemical kinetics modeling. The publication ponders on molecular dynamics and Monte Carlo simulations of rare events; direct implicit plasma simulation; orbit averaging and subcycling in particle simulation of plasmas; and hybrid and collisional implicit plasma simulation models. Topics include basic moment method, electron subcycling, gyroaveraged particle simulation, and the electromagnetic direct implicit method. The selection is a valuable reference for researchers interested in pursuing further research on the use of numerical methods in solving multiple-time-scale problems.

Table of contents

• Front Cover
• Multiple Time Scales
• Copyright Page
• Table of Contents
• Contributors
• Preface
• Chapter 1. Considerations on Solving Problems with Multiple Scales
• Chapter 2. Problems with Different Time Scales
• Chapter 3. Nonlinear Normal-Mode Initialization of Numerical Weather Prediction Models
• Chapter 4. The Diffusion-Synthetic Accelerationof Transport Iterations,with Application to a Radiation Hydrodynamics Problem
• Chapter 5. Implicit Methods in Combustionand Chemical Kinetics Modeling
• Chapter 6. Implicit Adaptive-Grid Radiation Hydrodynamics
• Chapter 7. Multiple Time-Scale Methods in Tokamak Magnetohydrodynamics
• Chapter 8. Hybrid and Collisional Implicit Plasma Simulation Models
• Chapter 9. Simulation of Low-Frequency,Electromagnetic Phenomenain Plasmas
• Chapter 10. Orbit Averaging and Subcycling in Particle Simulation of Plasmas
• Chapter 11. Direct Implicit Plasma Simulation
• Chapter 12. Direct Methods for N-Body Simulations
• Chapter 13. Molecular Dynamics and Monte Carlo Simulations of Rare Events
• Index