Introduction to Modeling Convection in Planets and Stars (eBook)

Magnetic Field, Density Stratification, Rotation

Gary A. Glatzmaier (Autor)

eBook Download: PDF | EPUB

2013
328 Seiten
Princeton University Press (Verlag)
978-1-4008-4890-4 (ISBN)

Infos

Gary A. Glatzmaier is professor of earth and planetary sciences at the University of California, Santa Cruz. He is a fellow of the American Academy of Arts and Sciences and a member of the National Academy of Sciences.

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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 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

Produkt-Details

• Erscheint lt. Verlag: 24.11.2013
• Reihe/Serie: Princeton Series in Astrophysics
• Reihe/Serie: Princeton Series in Astrophysics
• Zusatzinfo: 16 color illus. 19 halftones. 23 line illus. 2 tables.
• Verlagsort: Princeton
• Sprache: englisch
• Themenwelt: Mathematik / Informatik ► Informatik ► Datenbanken
• Themenwelt: Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
• Themenwelt: Naturwissenschaften ► Physik / Astronomie ► Astronomie / Astrophysik
• Themenwelt: Naturwissenschaften ► Physik / Astronomie ► Plasmaphysik
• Themenwelt: Naturwissenschaften ► Physik / Astronomie ► Thermodynamik
• Themenwelt: Technik
• Schlagworte: 2.5D spherical-shell • 2D cartesian box • 3D cartesian box • 3D spherical-shell • Adams-Bashforth time integration scheme • advection • Amplitude • anelastic approximation • anelastic model • angular resolution • Approximation • arbitrary background field • aspect ratio • astrophysics • Boundary conditions • boundary layer • boundary layers • Boundary value problem • Boussinesq Approximation • Boussinesq approximation (water waves) • Buoyancy • cartesian box geometry • Centimetre–gram–second system of units • centrifugal force • ChebyshevІourier method • clockwise • coefficient • Colatitude • Computer Analysis • Computer Code • Computer Graphics • Computer simulations • conservation equations • conservation law • convection • Convection zone • Convective Heat Transfer • coordinate mapping • coriolis force • Courant–Friedrichs–Lewy condition • CrankЎicolson scheme • critical Rayleigh number • Current density • density stratification • Diffusion • Diffusivity • dispersion relation • double-diffusive convection • Dynamo Theory • Electric Field • Energy • Energy Density • Entropy • Equation • Equation of State • equatorial plane • finite-amplitude simulations • Finite difference • finite-difference method • Finite Difference Method • Fluid Dynamics • Fluid Flow • Fluid parcel • fluid velocity • Force Density • FORTRAN • Fourier • Fourier expansions • Fourier mode • Fourier series • Fourier Transforms • Galerkin method • Gaussian quadrature • Giant planet • gravitational acceleration • Gravity wave • Gravity waves • heat capacity • Heat flux • heat transfer • horizontal background field • Hydrostatic equilibrium • Induction equation • infinite Prandtl number • instability • internal energy • Internal Gravity Waves • Internal wave • Ionization • kinetic energy • Kinetic Energy Spectrum • Legendre function • length scale • linear code • linear dispersion relation • linear equation • Linear equations • linear model • Linear Programming • linear stability • Linear Stability Analysis • linear stability problem • Lorentz Force • Magnetic diffusivity • Magnetic Energy • Magnetic field • Magnetic Field Generation • Magnetic flux • Magnetoconvection • magneto-gravity waves • magnetohydrodynamic dynamo • magnetohydrodynamic equations • Magnetohydrodynamics • Mantle Convection • marginal stability • Mass • Mass flux • Momentum • nonlinear code • nonlinear convection • nonlinear evolution • nonlinear simulations • nonlinear terms • nonuniform grid • Numerical analysis • numerical code • numerical method • Numerical methods for ordinary differential equations • Numerical Model • Numerical simulations • Nusselt number • OpenMP • Order of magnitude • oscillating instability • parallel code • Parallel Computing • Parallel Processing • Perfect gas • Phase velocity • plane wave • Poincar force • Poisson equation • polynomial expansion • polytropes • postprocessing code • Prandtl number • predictor-corrector scheme • Pressure • pressure gradient • Quantity • Radian • radiative transfer • Rayleigh Number • RayleighЂnard convection • reference state • Reynolds Number • Rotation • RungeЋutta scheme • salt-fingering instability • scale height • Second derivative • semiconvection instability • semi-implicit scheme • Snapshot (computer storage) • solver • Spatial discretization • Spatial Resolution • spectral method • spectral space • spherical harmonic expansions • staircase profile • Stream Function • Subroutine • Temperature • Temperature Gradient • temperature profile • Temporal Resolution • thermal convection • thermal diffusion • Thermal Diffusivity • thermal stratification • time derivative • time integration schemes • Trigonometric Functions • Unit vector • vector potential • Vertical direction • viscosity • Vorticity • Vorticity equation • vorticity-streamfunction formulation • Wave energy • Wavelength • wavenumber
• ISBN-10: 1-4008-4890-3 / 1400848903
• ISBN-13: 978-1-4008-4890-4 / 9781400848904