Finite Volume Methods for Hyperbolic Problems


Solution to a nonconvex scalar conservation law with flux function f(q) = sin(q).

A Riemann problem is solved numerically with states ql = pi/4 and qr = 15*pi/4, with solution consisting of two shocks and two rarefaction waves, as determined by the convex hull construction of Figure 16.4(a)

Animation of solution shown in Figure 16.4 and numerical solution with 200 cells.

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