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2D_Godunov

-              v13
+              v14
 Here are some plots of the initial condition. You will see a circle of high density/pressure in the center of the mesh, with zero velocity in both x and y.
 Density:
+Density (pressure looks similar):
 [[Image(rhoInit3d.png, 25%)]]
 Velocity:
+X-velocity (velocity in y is also zero):
 [[Image(uInit.png, 25%)]]
 …
 [[latex($\vec{u}^n = \{ \vec{u}^n_{i,j} \} ~\forall ~i,~\forall~j$)]]
 where u is the vector of primitive variables. To solve the Euler equations for this given initial condition, we split the 2D Euler equations,
+where u is the vector of primitive variables. To solve the Euler equations for this given initial condition, we "split" the 2D Euler equations,
 [[latex($\frac{\partial }{\partial t} \begin{pmatrix} \rho \\ \rho u \\ E \\ \rho v \end{pmatrix} + \frac{\partial }{\partial x} \begin{pmatrix} \rho u \\ \rho u^2 + p \\ u(E+p) \\ \rho u v \end{pmatrix} + \frac{\partial }{\partial y} \begin{pmatrix} \rho v \\ \rho v^2 + p \\ v(E+p) \\ \rho u v \end{pmatrix} = 0$)]]