Introduction to Modeling Convection in Planets and Stars : : Magnetic Field, Density Stratification, Rotation / / Gary A. Glatzmaier.

• Superior document: Title is part of eBook package: De Gruyter Princeton University Press Complete eBook-Package 2014-2015
• VerfasserIn: Glatzmaier, Gary A.,
• Place / Publishing House: Princeton, NJ : : Princeton University Press, , [2013]; ©2014
• Year of Publication: 2013
• Edition: Course Book
• Language: English
• Series: Princeton Series in Astrophysics ; 24
• Physical Description: 1 online resource (328 p.) :; 16 color illus. 19 halftones. 23 line illus. 2 tables.

This book provides readers with the skills they need to write computer codes that simulate convection, internal gravity waves, and magnetic field generation in the interiors and atmospheres of rotating planets and stars. Using a teaching method perfected in the classroom, Gary Glatzmaier begins by offering a step-by-step guide on how to design codes for simulating nonlinear time-dependent thermal convection in a two-dimensional box using Fourier expansions in the horizontal direction and finite differences in the vertical direction. He then describes how to implement more efficient and accurate numerical methods and more realistic geometries in two and three dimensions. In the third part of the book, Glatzmaier demonstrates how to incorporate more sophisticated physics, including the effects of magnetic field, density stratification, and rotation. Featuring numerous exercises throughout, this is an ideal textbook for students and an essential resource for researchers. Describes how to create codes that simulate the internal dynamics of planets and stars Builds on basic concepts and simple methods Shows how to improve the efficiency and accuracy of the numerical methods Describes more relevant geometries and boundary conditions Demonstrates how to incorporate more sophisticated physics

Table of Contents

Frontmatter -- Contents -- Preface -- PART 1. The Fundamentals -- Chapter One. A Model of Rayleigh-Bénard Convection -- Chapter Two. Numerical Method -- Chapter Three. Linear Stability Analysis -- Chapter Four. Nonlinear Finite-Amplitude Dynamics -- Chapter Five. Postprocessing -- Chapter Six. Internal Gravity Waves -- Chapter Seven. Double-Diffusive Convection -- PART 2. Additional Numerical Methods -- Chapter Eight. Time Integration Schemes -- Chapter Nine. Spatial Discretizations -- Chapter Ten. Boundaries and Geometries -- PART 3. Additional Physics -- Chapter Eleven. Magnetic Field -- Chapter Twelve. Density Stratification -- Chapter Thirteen. Rotation -- Appendix A. A Tridiagonal Matrix Solver -- Appendix B. Making Computer-Graphical Movies -- Appendix C. Legendre Functions and the Gaussian Quadrature -- Appendix D. Parallel Processing: OpenMP -- Appendix E. Parallel Processing: MPI -- Bibliography -- Index