{"schema_version":1,"provenance":{"source_sha256":{"reference.py":"1d9e334e3af255a2d4dfe802ca5797b140d48c936a5ea16da9e41d3dd5f1e680","oracles.py":"d03142834703cdf41753ed09aa90a921b9f1b17f704923fedf3522a6717851a4","generate.py":"c950071da3877fb39ee8a714a3d9a4bd328e6602ce51f7ea8fa65cedeece38f9","test_reference.py":"866062c13840ebe24d0593208348cbb282a8241059294f9fd0831361de3d6e17"},"python":"3.12.3","numpy":"2.3.5","method":"unsplit first-order conservative finite volume; Rusanov/LLF; explicit Euler","units":"dimensionless","state_order":["rho","rho_u","rho_v","rho_w","total_energy"]},"limitations":["educational tiny Python reference; not the production Rust solver","inviscid ideal gas on uniform periodic Cartesian cells","no turbulence, geometry, viscosity, or physical validation claim","first-order diffusion damps small-grid waves and smears shocks"],"cases":[{"id":"planar_sod_periodic","title":"Planar Sod shock tube in a periodic 3D cube","grid":{"shape":[12,12,12],"extent":[[0,1],[0,1],[0,1]],"centering":"cell","flatten_order":"C (z fastest)"},"parameters":{"gamma":1.4,"cfl":0.25,"boundary":"periodic","seed":0,"randomness":"none","dimensionless_end_time":0.08,"initial_condition":"Sod left (rho,u,p)=(1,0,1), right=(0.125,0,0.1), jump x=0.5; second periodic jump x=0","reference_error_scope":"isolated central Sod fan, 0.2<x<0.8, before periodic 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