The Digital Demo Room One-Dimensional Hydrodynamics Simulator Conley “Lee” Ditsworth under the...
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Transcript of The Digital Demo Room One-Dimensional Hydrodynamics Simulator Conley “Lee” Ditsworth under the...
The Digital Demo RoomOne-Dimensional Hydrodynamics
Simulator
Conley “Lee” Ditsworthunder the care and feeding of
Dr. Charles F. Gammieand close supervision of graduate student
Eric Engelhard
Project Goal
Provide an on-line simulator that allows students to study hydrodynamic waves using an interactive web-based interface
Types of Waves
• Linear Waves–Hydrodynamic (HD)
–Magnetohydrodynamic (MHD)
• Shock Tubes
SimulatorOutput
Hydrodynamics• Mass Conservation (Continuity Equation):
• Momentum Conservation:
• Energy Conservation:
Convective Derivative:
Other Constraints• Magnetic Induction Formula:
• Divergence-Free Formula:
• Ideal Gas Equation of State:
• Gravitational Potential (Poisson’s Equation):
Linear Waves“Perturb” the Conservation and Magnetic Induction Equations:
Linearized Hydrodynamic (HD) Equations
HD Natural Frequencies
HD Eigenvectors
Magnetohydrodynamic Waves
Newly-defined variables for simplification:
Alfven Speed:
Also:
MHD Linearized Equations
MHD Natural Frequencies and Associated Eigenvectors
Fast/Slow Waves
Sample Run: Sound Wave Study of the Jean’s Length
StableUnstable
Stable wave (above Jean’s
Length):
Movie
Unstable wave (below Jean’s
Length):
Movie
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
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” DitsworthRm 235 LLP
[email protected] or [email protected], no office phone available…