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Project Pages (Stuff currently on my plate - ordered by priority)

• Scrambler Paper
• Gravitationally induced turbulence
• Colliding Flows
• Thermally Unstable clouds
• MHD Clumps
• Mapping Out Cooling Regimes for Shocked Clumps
• The Morphological Impact of Cooling on Turbulence

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Recent Blog Entries

• test  -- Posted on 4 years ago : author Jonathan
• HEDP Experiments  -- Posted on 4 years ago : author Jonathan
• Spitzer Resistivity  -- Posted on 4 years ago : author Jonathan
• HEDP Simulations  -- Posted on 4 years ago : author Jonathan
• Thoughts on time stepping and MHD  -- Posted on 4 years ago : author Jonathan

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Journal Club for March 22

Thoughts on binary sims

First we have position of primary

\vec{X_p}=R_p [\cos{\Omega t}, \sin{\Omega} t, 0]

and velocity of primary as

\vec{v_p}=R_p \Omega [-\sin{\Omega t}, \cos{\Omega t}, 0]

The velocity v_0 at the surface of the primary x_0 can be written as

\vec{v}_0=\vec{v_p}+\hat{x}_0 v_w

where

\hat{x}_0 = \frac{\vec{x}_0-\vec{X_p}}{|\vec{x}_0-\vec{X_p}|}

And then the velocity is constant along characteristics given by \vec{x}-\vec{x}_0 = \vec{v}_0 t

Given \vec{x} and t we wish to find \vec{x}_0 and \vec{v}_0 so that \vec{x}-\vec{x}_0 = \vec{v}_0 t

substituting the expression for \vec{v}_0 we have

\vec{x}-\vec{x}_0 = (\vec{v_p}+\hat{x}_0 v_w) t