Riemann problems and solutions

The links below might help explain Riemann problems and their solutions.

Acoustics

• The notebook Riemann_problem_acoustics.ipynb illustrates the Riemann solution for the acoustics equations.
• The webpage phase plane illustrates how the Riemann solution changes as the left state \(q_\ell\) and right state \(q_r\) are changed.

Nonconvex Scalar conservation laws

• The notebook Osher_Solution.ipynb illustrates the Osher solution to scalar Riemann problems, with nonconvex examples

Shallow water equations

• The webpage phase plane illustrates how the Riemann solution changes as the left state \(q_\ell\) and right state \(q_r\) are changed.