{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Riemann Problems and Jupyter Solutions\n", "\n", "### by David I. Ketcheson, Randall J. LeVeque, and Mauricio J. del Razo\n", "\n", "The Github repository containing these notebooks is https://github.com/clawpack/riemann_book.\n", "\n", "You can view html versions of some of these notebooks at http://www.clawpack.org/riemann_book/html/Index.html.\n", "\n", "**Parts I and II** of these notebooks will also be published by SIAM as a paperback book, and these are listed in [Index.ipynb](Index.ipynb). The ones listed below are additional notebooks that cover more advanced topics and/or additional hyperbolic systems.\n", "\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "\n", "\n", "## Part III: Riemann problems with spatially-varying flux\n", " 1. To appear -- Advection\n", " 2. [Acoustics_heterogeneous](Acoustics_heterogeneous.ipynb) -- Acoustics in heterogeneous media\n", " 3. [Traffic_variable_speed](Traffic_variable_speed.ipynb) -- Traffic with varying road conditions\n", " 4. [Nonlinear_elasticity](Nonlinear_elasticity.ipynb) -- Nonlinear elasticity in a heterogeneous medium\n", " 5. To appear -- Ideal gas shock tube with different ratio of specific heats\n", " 6. [Euler_Tammann](Euler_Tammann.ipynb) -- Euler equations with Tammann equation of state\n", " \n", "## Part IV: Source terms\n", " 1. [Traffic_with_ramps](Traffic_with_ramps.ipynb) -- Traffic with an on-ramp source of traffic\n", " \n", "## Part V: Non-classical problems\n", " 2. [Pressureless_flow](Pressureless_flow.ipynb) -- Pressureless gas dynamics\n", " \n", "## Part VI: Multidimensional systems\n", " 1. [Acoustics](http://nbviewer.jupyter.org/github/maojrs/ipynotebooks/blob/FA16/acoustics_riemann.ipynb) *[To be improved and incorporated into this project]*\n", " 2. [Elasticity](http://nbviewer.jupyter.org/github/maojrs/ipynotebooks/blob/FA16/elasticity_riemann.ipynb) *[To be improved and incorporated into this project]*\n", " 3. [Kitchen_sink_problem](Kitchen_sink_problem.ipynb) -- The Kitchen Sink: shallow water in cylindrical coordinates" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.6.5" }, "toc": { "base_numbering": 1, "nav_menu": {}, "number_sections": true, "sideBar": true, "skip_h1_title": false, "title_cell": "Table of Contents", "title_sidebar": "Contents", "toc_cell": false, "toc_position": {}, "toc_section_display": "block", "toc_window_display": false } }, "nbformat": 4, "nbformat_minor": 4 }