The Digital Demo Room OneDimensional Hydrodynamics Simulator Conley Lee Ditsworth under the care and

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The Digital Demo RoomOne-Dimensional
HydrodynamicsSimulatorConley Lee
Ditsworthunder the care and feeding ofDr.
Charles F. Gammieand close supervision of
graduate studentEric 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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SimulatorOutput
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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 (Poissons 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 Alf
ven 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 Jeans Length
Unstable
Stable
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Stable wave (above Jeans Length)
Movie
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Unstable wave (below Jeans Length)
Movie
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Sample Shock Tube
Just For Fun Heres a sample shock tube
simulation is set up with equal left and right
states, but with opposite fluid velocities
Shock Tube
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Its Been A Pleasure!
The One-Dimensional Hydrodynamic Simulator Can Be
Found At The Digital Demo Room http//rainman.phy
sics.uiuc.edu/ddr/oned/index.html Conley Lee
Ditsworth Rm 235 LLP lee_at_shout.net or
ditswort_at_uiuc.edu sorry, no office phone
available