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Adaptive Mesh Refinement - Theory and Applications
Advanced numerical simulations that use adaptive mesh refinement (AMR) methods have now become routine in engineering and science. Originally developed for computational fluid dynamics applications these methods have propagated to fields as diverse as astrophysics, climate modeling, combustion, biophysics and many others. The underlying physical models and equations used in these disciplines are rather different, yet algorithmic and implementation issues facing practitioners are often remarkably similar. Unfortunately, there has been little effort to review the advances and outstanding issues of adaptive mesh refinement methods across such a variety of fields. This book attempts to bridge this gap. The book presents a collection of papers by experts in the field of AMR who analyze past advances in the field and evaluate the current state of adaptive mesh refinement methods in scientific computing.
Numerical Methods in Astrophysics
Numerical Methods in Astrophysics: An Introduction outlines various fundamental numerical methods that can solve gravitational dynamics, hydrodynamics, and radiation transport equations. This resource indicates which methods are most suitable for particular problems, demonstrates what the accuracy requirements are in numerical simulations, and suggests ways to test for and reduce the inevitable negative effects. After an introduction to the basic equations and derivations, the book focuses on practical applications of the numerical methods. It explores hydrodynamic problems in one dimension, N-body particle dynamics, smoothed particle hydrodynamics, and stellar structure and evolution. The a...
Analytical And Numerical Methods For Wave Propagation In Fluid Media
This book surveys analytical and numerical techniques appropriate to the description of fluid motion with an emphasis on the most widely used techniques exhibiting the best performance.Analytical and numerical solutions to hyperbolic systems of wave equations are the primary focus of the book. In addition, many interesting wave phenomena in fluids are considered using examples such as acoustic waves, the emission of air pollutants, magnetohydrodynamic waves in the solar corona, solar wind interaction with the planet venus, and ion-acoustic solitons.
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High Energy Density Laboratory Astrophysics
This work will be of interest to a wide range of academics. It provides a comprehensive round-up of the proceedings and papers delivered at the 2006 Conference on High Energy Density Laboratory Astrophysics, held at Rice University in Houston, Texas, USA. The contributions come from scientists interested in this emerging field. They discuss the progress in topics covering everything from stellar evolution and envelopes, to opacities, radiation transport and x-ray photoionized plasmas.
Cool Discs, Hot Flows
All papers have been peer-reviewed. These proceedings contain research papers from the participants of the astrophysics conference “Cool discs, hot flows”. The main focus of the conference was on physical processes of accreting compact objects. Topics covered include wind-fed accretion, neutron stars and white dwarfs, ultraluminous X-ray sources and temporal variability.
3D Stellar Evolution
Proceedings of the 3D Stellar Evolution Workshop held at the University of California, Davis Department of Applied Sciences in Livermore, CA in July 2002.
