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Published byBlake Watson Modified over 9 years ago
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The Digital Demo Room One-Dimensional Hydrodynamics Simulator Conley “Lee” Ditsworth under the care and feeding of Dr. Charles F. Gammie and close supervision of graduate student Eric Engelhard
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Project Goal Provide an on-line simulator that allows students to study hydrodynamic waves using an interactive web-based interface
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Types of Waves Linear Waves –Hydrodynamic (HD) –Magnetohydrodynamic (MHD) Shock Tubes
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Simulator Output
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Hydrodynamics Mass Conservation (Continuity Equation): Momentum Conservation: Energy Conservation: Convective Derivative:
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Other Constraints Magnetic Induction Formula: Divergence-Free Formula: Ideal Gas Equation of State: Gravitational Potential (Poisson’s Equation):
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Linear Waves “Perturb” the Conservation and Magnetic Induction Equations:
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Linearized Hydrodynamic (HD) Equations
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HD Natural Frequencies
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HD Eigenvectors
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Magnetohydrodynamic Waves Newly-defined variables for simplification: Alfven Speed: Also:
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MHD Linearized Equations
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MHD Natural Frequencies and Associated Eigenvectors
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Fast/Slow Waves
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Sample Run: Sound Wave Study of the Jean’s Length Stable Unstable
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Stable wave (above Jean’s Length): Movie
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Unstable wave (below Jean’s Length): Movie
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Sample Shock Tube Shock Tube Just For Fun: Here’s a sample shock tube; simulation is set up with equal left and right states, but with opposite fluid velocities
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It’s Been A Pleasure! The One-Dimensional Hydrodynamic Simulator Can Be Found At The Digital Demo Room: http://rainman.physics.uiuc.edu/ddr/oned/index.html Conley “Lee” Ditsworth Rm 235 LLP lee@shout.netlee@shout.net or ditswort@uiuc.eduditswort@uiuc.edu sorry, no office phone available…
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