Riemann Problems and Jupyter Solutions

by David I. Ketcheson, Randall J. LeVeque, and Mauricio J. del Razo

The Github repository containing these notebooks is https://github.com/clawpack/riemann_book.

You can view html versions of some of these notebooks at http://www.clawpack.org/riemann_book/html/Index.html.

Parts I and II of these notebooks will also be published by SIAM as a paperback book, and these are listed in Index.html. The ones listed below are additional notebooks that cover more advanced topics and/or additional hyperbolic systems.

Part III: Riemann problems with spatially-varying flux

1. To appear -- Advection
2. Acoustics_heterogeneous -- Acoustics in heterogeneous media
3. Traffic_variable_speed -- Traffic with varying road conditions
4. Nonlinear_elasticity -- Nonlinear elasticity in a heterogeneous medium
5. To appear -- Ideal gas shock tube with different ratio of specific heats
6. Euler_Tammann -- Euler equations with Tammann equation of state

Part IV: Source terms

1. Traffic_with_ramps -- Traffic with an on-ramp source of traffic

Part V: Non-classical problems

1. Pressureless_flow -- Pressureless gas dynamics

Part VI: Multidimensional systems

1. Acoustics [To be improved and incorporated into this project]
2. Elasticity [To be improved and incorporated into this project]
3. Kitchen_sink_problem -- The Kitchen Sink: shallow water in cylindrical coordinates