3d Burgers' equation
q_t + u*(.5*q^2)_x + v*(.5*q^2)_y + w*(.5*q^2)_z = 0
solved with u = v = w = 1.
The initial data consists of q=1 inside the cube [.1,.5] x [.1,.5] x [.1,.5] and q=0 elsewhere.
Along every ray in the direction (1,1,1), the solution should look like a shock followed by a rarefaction wave. This is a three-dimensional version of the 2D Burgers' equation example discussed in Chapter 20 of [FVMHP] (see Figure 20.7 in particular.)
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