Multidimensional Stability and Transverse Bifurcation of Hydraulic Shocks and Roll Waves in Open Channel Flow Matlab codes for Evans function solvers and Python codes for numerical time evolutions of 2d- hydraulic shocks and roll waves of inviscid Saint-Venant equations Authors: Zhao Yang and Kevin Zumbrun For questions/comments please contact either the first author via yangzhao@amss.ac.cn or the second author via kzumbrun@indiana.edu Prerequisites Programs Python Matlab Python libraries Clawpack Clawpack Development Team (2022), Clawpack Version 5.9.0, http://www.clawpack.org, doi: 10.5281/zenodo.7026045 Description Evans solvers Inside the folder Evans solvers and its subfolders, one can find codes for Evans/Evans-Lopatinsky solvers for smooth hydraulic shocks and discontinuous hydraulic shocks and a periodic Evans-Lopatinsky solver for roll waves, respectively. time-evolution solvers Inside the folder time-evolution solvers and its subfolders, one can find sample python codes for generating time-evolution raw data files for the 2d inviscid Saint-Venant equations with either dam-break or roll waves initial data. One can also find matlab codes that make use of the raw data files to create movies. Movies are downloadable from https://zenodo.org/record/8285097. data Inside the folder data, one can find boundary.mat which contains raw data of various stability boundaries of inviscid roll waves in 1d, in the 2d whole space, and in a channel of finite width.

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