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

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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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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Glatzmaier, Gary A. (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Princeton, NJ : Princeton University Press, [2013]
Edición:Course Book
Colección:Princeton Series in Astrophysics ; 24
Temas:
Convection (Astrophysics) > Computer simulation.
Convection (Astrophysics) > Mathematical models.
Planets > Atmospheres.
Stars > Atmospheres.
SCIENCE / Physics / Astrophysics.
2.5D spherical-shell.
3D cartesian box.
3D spherical-shell.
Adams-Bashforth time integration scheme.
Boussinesq approximation.
ChebyshevІourier method.
CrankЎicolson scheme.
Fourier expansions.
Fourier mode.
Fourier transforms.
Galerkin method.
Nusselt number.
Poisson equation.
Prandtl number.
Rayleigh number.
RayleighЂnard convection.
Reynolds number.
RungeЋutta scheme.
advection.
anelastic approximation.
anelastic model.
arbitrary background field.
aspect ratio.
boundary conditions.
boundary layers.
cartesian box geometry.
computer analysis.
computer code.
computer graphics.
computer simulations.
conservation equations.
convection.
coordinate mapping.
critical Rayleigh number.
density stratification.
diffusion.
dispersion relation.
double-diffusive convection.
energy.
entropy.
finite-amplitude simulations.
finite-difference method.
fluid dynamics.
fluid flow.
fluid velocity.
horizontal background field.
infinite Prandtl number.
internal gravity waves.
kinetic energy spectrum.
linear code.
linear dispersion relation.
linear equations.
linear model.
linear stability analysis.
linear stability problem.
magnetic field generation.
magnetic field.
magneto-gravity waves.
magnetoconvection.
magnetohydrodynamic equations.
magnetohydrodynamics.
mantle convection.
marginal stability.
mass.
momentum.
nonlinear code.
nonlinear convection.
nonlinear evolution.
nonlinear simulations.
nonlinear terms.
nonuniform grid.
numerical code.
numerical method.
numerical model.
oscillating instability.
parallel code.
parallel processing.
postprocessing code.
predictor-corrector scheme.
pressure.
rotation.
salt-fingering instability.
semi-implicit scheme.
semiconvection instability.
spatial discretization.
spatial resolution.
spectral method.
spectral space.
spherical harmonic expansions.
staircase profile.
temperature profile.
temperature.
thermal convection.
thermal diffusion.
thermal stratification.
time integration schemes.
vorticity-streamfunction formulation.
vorticity.
wave energy.
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Tabla de Contenidos:
  • 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

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