Screen LibraryIntroduction to modeling convection in planets and stars : magnetic field, density stratification, rotation /
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 o...
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| Main Authors: | |
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| Corporate Authors: | |
| Published: |
Princeton University Press,
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| Publisher Address: | Princeton, N.J. : |
| Publication Dates: |
[2013] ©2013 |
| Literature type: | eBook |
| Language: | English |
| Series: |
Princeton series in astrophysics
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| Subjects: | |
| Online Access: |
http://dx.doi.org/10.1515/9781400848904 http://www.degruyter.com/doc/cover/9781400848904.jpg |
| Summary: |
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. |
| Carrier Form: | 1 online resource(328pages) : illustrations. |
| ISBN: | 9781400848904 |
| Index Number: | QB462 |
| CLC: | P142 |
| Contents: |
Frontmatter -- Contents -- Preface -- Chapter One. A Model of Rayleigh-B nard 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 -- Chapter Eight. Time Integration Schemes -- Chapter Nine. Spatial Discretizations -- Chapter Ten. Boundaries and Geometries -- 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. |