Adaptive-grid finite-difference method for time-dependent magnetohydrodynamic (MHD) flows and its astrogeophysical application
Thesis/Dissertation
·
OSTI ID:7129142
An adaptive-grid finite-difference method for solving time-dependent, magnetohydrodynamic (MHD) equations is developed. The method is capable of solving problems that include high gradients due to geometry, propagation of shock waves, and unsteady boundary conditions. The grid-generation technique is based on variational principles with direct control over grid concentration, smoothness, and skewness. Studies of one-dimensional MHD wave propagation in the subsonic, sub-Alfvenic flow region in the solar corona and the propagation of finite-amplitude disturbances in the supersonic, super-Alfvenic flow region of the solar wind are used to demonstrate the technique's accuracy and versatility. The adaptive-grid method was used here to study the propagation of solar-generated disturbances through the solar wind critical points. Also, application of the method to two-dimensional, time-dependent MHD flows to simulate the propagation of solar-flare-generated shock waves of the solar wind flows in the equatorial plane of the Sun is investigated.
- Research Organization:
- Alabama Univ., Huntsville (USA)
- OSTI ID:
- 7129142
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
640104* -- Astrophysics & Cosmology-- Solar Phenomena
640201 -- Atmospheric Physics-- Auroral
Ionospheric
& Magetospheric Phenomena
640430 -- Fluid Physics-- Magnetohydrodynamics
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
ATMOSPHERES
DISTURBANCES
FINITE DIFFERENCE METHOD
FLOW MODELS
FLUID MECHANICS
HYDRODYNAMICS
ITERATIVE METHODS
MAGNETOHYDRODYNAMICS
MATHEMATICAL MODELS
MECHANICS
MESH GENERATION
NUMERICAL SOLUTION
SHOCK WAVES
SOLAR ACTIVITY
SOLAR CORONA
SOLAR FLARES
SOLAR WIND
STELLAR ATMOSPHERES
STELLAR CORONAE
WAVE PROPAGATION
640201 -- Atmospheric Physics-- Auroral
Ionospheric
& Magetospheric Phenomena
640430 -- Fluid Physics-- Magnetohydrodynamics
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
ATMOSPHERES
DISTURBANCES
FINITE DIFFERENCE METHOD
FLOW MODELS
FLUID MECHANICS
HYDRODYNAMICS
ITERATIVE METHODS
MAGNETOHYDRODYNAMICS
MATHEMATICAL MODELS
MECHANICS
MESH GENERATION
NUMERICAL SOLUTION
SHOCK WAVES
SOLAR ACTIVITY
SOLAR CORONA
SOLAR FLARES
SOLAR WIND
STELLAR ATMOSPHERES
STELLAR CORONAE
WAVE PROPAGATION