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

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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Superior document:Title is part of eBook package: De Gruyter Princeton University Press Complete eBook-Package 2014-2015
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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
Online Access:
Physical Description:1 online resource (328 p.) :; 16 color illus. 19 halftones. 23 line illus. 2 tables.
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100 1 |a Glatzmaier, Gary A.,   |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
245 1 0 |a Introduction to Modeling Convection in Planets and Stars :  |b Magnetic Field, Density Stratification, Rotation /  |c Gary A. Glatzmaier. 
250 |a Course Book 
264 1 |a Princeton, NJ :   |b Princeton University Press,   |c [2013] 
264 4 |c ©2014 
300 |a 1 online resource (328 p.) :  |b 16 color illus. 19 halftones. 23 line illus. 2 tables. 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
347 |a text file  |b PDF  |2 rda 
490 0 |a Princeton Series in Astrophysics ;  |v 24 
505 0 0 |t Frontmatter --   |t Contents --   |t Preface --   |t PART 1. The Fundamentals --   |t Chapter One. A Model of Rayleigh-Bénard Convection --   |t Chapter Two. Numerical Method --   |t Chapter Three. Linear Stability Analysis --   |t Chapter Four. Nonlinear Finite-Amplitude Dynamics --   |t Chapter Five. Postprocessing --   |t Chapter Six. Internal Gravity Waves --   |t Chapter Seven. Double-Diffusive Convection --   |t PART 2. Additional Numerical Methods --   |t Chapter Eight. Time Integration Schemes --   |t Chapter Nine. Spatial Discretizations --   |t Chapter Ten. Boundaries and Geometries --   |t PART 3. Additional Physics --   |t Chapter Eleven. Magnetic Field --   |t Chapter Twelve. Density Stratification --   |t Chapter Thirteen. Rotation --   |t Appendix A. A Tridiagonal Matrix Solver --   |t Appendix B. Making Computer-Graphical Movies --   |t Appendix C. Legendre Functions and the Gaussian Quadrature --   |t Appendix D. Parallel Processing: OpenMP --   |t Appendix E. Parallel Processing: MPI --   |t Bibliography --   |t Index 
506 0 |a restricted access  |u http://purl.org/coar/access_right/c_16ec  |f online access with authorization  |2 star 
520 |a 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 
530 |a Issued also in print. 
538 |a Mode of access: Internet via World Wide Web. 
546 |a In English. 
588 0 |a Description based on online resource; title from PDF title page (publisher's Web site, viewed 30. Aug 2021) 
650 0 |a Convection (Astrophysics)  |x Computer simulation. 
650 0 |a Convection (Astrophysics)  |x Mathematical models. 
650 0 |a Planets  |x Atmospheres. 
650 0 |a Stars  |x Atmospheres. 
650 7 |a SCIENCE / Physics / Astrophysics.  |2 bisacsh 
653 |a 2.5D spherical-shell. 
653 |a 3D cartesian box. 
653 |a 3D spherical-shell. 
653 |a Adams-Bashforth time integration scheme. 
653 |a Boussinesq approximation. 
653 |a ChebyshevІourier method. 
653 |a CrankЎicolson scheme. 
653 |a Fourier expansions. 
653 |a Fourier mode. 
653 |a Fourier transforms. 
653 |a Galerkin method. 
653 |a Nusselt number. 
653 |a Poisson equation. 
653 |a Prandtl number. 
653 |a Rayleigh number. 
653 |a RayleighЂnard convection. 
653 |a Reynolds number. 
653 |a RungeЋutta scheme. 
653 |a advection. 
653 |a anelastic approximation. 
653 |a anelastic model. 
653 |a arbitrary background field. 
653 |a aspect ratio. 
653 |a boundary conditions. 
653 |a boundary layers. 
653 |a cartesian box geometry. 
653 |a computer analysis. 
653 |a computer code. 
653 |a computer graphics. 
653 |a computer simulations. 
653 |a conservation equations. 
653 |a convection. 
653 |a coordinate mapping. 
653 |a critical Rayleigh number. 
653 |a density stratification. 
653 |a diffusion. 
653 |a dispersion relation. 
653 |a double-diffusive convection. 
653 |a energy. 
653 |a entropy. 
653 |a finite-amplitude simulations. 
653 |a finite-difference method. 
653 |a fluid dynamics. 
653 |a fluid flow. 
653 |a fluid velocity. 
653 |a horizontal background field. 
653 |a infinite Prandtl number. 
653 |a internal gravity waves. 
653 |a kinetic energy spectrum. 
653 |a linear code. 
653 |a linear dispersion relation. 
653 |a linear equations. 
653 |a linear model. 
653 |a linear stability analysis. 
653 |a linear stability problem. 
653 |a magnetic field generation. 
653 |a magnetic field. 
653 |a magneto-gravity waves. 
653 |a magnetoconvection. 
653 |a magnetohydrodynamic equations. 
653 |a magnetohydrodynamics. 
653 |a mantle convection. 
653 |a marginal stability. 
653 |a mass. 
653 |a momentum. 
653 |a nonlinear code. 
653 |a nonlinear convection. 
653 |a nonlinear evolution. 
653 |a nonlinear simulations. 
653 |a nonlinear terms. 
653 |a nonuniform grid. 
653 |a numerical code. 
653 |a numerical method. 
653 |a numerical model. 
653 |a oscillating instability. 
653 |a parallel code. 
653 |a parallel processing. 
653 |a postprocessing code. 
653 |a predictor-corrector scheme. 
653 |a pressure. 
653 |a rotation. 
653 |a salt-fingering instability. 
653 |a semi-implicit scheme. 
653 |a semiconvection instability. 
653 |a spatial discretization. 
653 |a spatial resolution. 
653 |a spectral method. 
653 |a spectral space. 
653 |a spherical harmonic expansions. 
653 |a staircase profile. 
653 |a temperature profile. 
653 |a temperature. 
653 |a thermal convection. 
653 |a thermal diffusion. 
653 |a thermal stratification. 
653 |a time integration schemes. 
653 |a vorticity-streamfunction formulation. 
653 |a vorticity. 
653 |a wave energy. 
773 0 8 |i Title is part of eBook package:  |d De Gruyter  |t Princeton University Press Complete eBook-Package 2014-2015  |z 9783110665925 
776 0 |c print  |z 9780691141732 
856 4 0 |u https://doi.org/10.1515/9781400848904?locatt=mode:legacy 
856 4 0 |u https://www.degruyter.com/isbn/9781400848904 
856 4 2 |3 Cover  |u https://www.degruyter.com/cover/covers/9781400848904.jpg 
912 |a 978-3-11-066592-5 Princeton University Press Complete eBook-Package 2014-2015  |c 2014  |d 2015 
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