Here is a program for WENO-Z and WENO-JS scheme for 1D euler equation of various initial condition.
(LAX, SOD, 123, blastswave, Shockdenstiy problems)
There are not exact solutions.
Instead, you can setup enumerous Nx for WENO-Z as exact solution.
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achieving optimal order near critical points, J. Journal of Computational Physics, 2005, 207:542-567
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[4] Lin Fu. A very-high-order TENO scheme for all-speed gas dynamics and turbulence, J. Journal of Computational Physics, 2019, 244:117-131
[5] B.Sullivan, S. R. Murthy, University of Illinois (2018), https://github.com/btsllvn2/weno-1d-euler
