E vs. t Line Plots

The equations used to define these quantities are the following:

Kinetic Energy

\frac{1}{2}\rho \left(v_{x}^2 + v_{y}^2 + v_{z}^2\right)

As a mathematical expression in VisIt: .5*rho*(vx^2 + vy^2 + vz^2)

Gravitational Energy

\frac{1}{2}\phi_{\text{gas}}\rho

As a mathematical expression in VisIt: .5*<Gas Phi>*rho

Magnetic Energy

\frac{1}{2}\left(B_{x}^2 + B_{y}^2 + B_{z}^2\right)

As a mathematical expression in VisIt: .5*(Bx^2 + By^2 + Bz^2)

Beta 10, Shear 0

Beta 10, Shear 15

Beta 10, Shear 30

Beta 10, Shear 60