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Project Goal

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. Project Goal.

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Project Goal

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  1. The Digital Demo RoomOne-Dimensional HydrodynamicsSimulatorConley “Lee” Ditsworthunder the care and feeding ofDr. Charles F. Gammieand close supervision of graduate studentEric Engelhard

  2. Project Goal Provide an on-line simulator that allows students to study hydrodynamic waves using an interactive web-based interface

  3. Types of Waves • Linear Waves • Hydrodynamic (HD) • Magnetohydrodynamic (MHD) • Shock Tubes

  4. SimulatorOutput

  5. Hydrodynamics • Mass Conservation (Continuity Equation): • Momentum Conservation: • Energy Conservation: Convective Derivative:

  6. Other Constraints • Magnetic Induction Formula: • Divergence-Free Formula: • Ideal Gas Equation of State: • Gravitational Potential (Poisson’s Equation):

  7. Linear Waves “Perturb” the Conservation and Magnetic Induction Equations:

  8. Linearized Hydrodynamic (HD) Equations

  9. HD Natural Frequencies

  10. HD Eigenvectors

  11. Magnetohydrodynamic Waves Newly-defined variables for simplification: Alfven Speed: Also:

  12. MHD Linearized Equations

  13. MHD Natural Frequencies and Associated Eigenvectors

  14. Fast/Slow Waves

  15. Sample Run: Sound Wave Study of the Jean’s Length Unstable Stable

  16. Stable wave (above Jean’s Length): Movie

  17. Unstable wave (below Jean’s Length): Movie

  18. Sample 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 Shock Tube

  19. 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.net or ditswort@uiuc.edu sorry, no office phone available…

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