{"id": "cylinder_re40", "title": "Laminar cylinder at Re = 40", "description": "Steady separated flow past a circular cylinder at Reynolds number 40 (based on diameter) and Mach 0.2 on a 24 x 10 curved O-mesh extending 40 diameters. The drag coefficient is compared with the incompressible literature value of about 1.5 (e.g. 1.52 in Dennis & Chang 1970, 1.50 in Fornberg 1980); small differences are expected from compressibility and the finite domain. This is a plausibility check against physics, complementing the exact verification studies. The numerical energy flux through the adiabatic wall is zero by construction (its viscous part is masked out) and is therefore not checked; instead the conductive flux that the converged solution carries at the wall when the mask is lifted, which is zero for the exact solution, is required to decrease with the polynomial degree.", "passed": true, "checks": [{"name": "p = 2: converged", "value": true, "expected": "true", "passed": true}, {"name": "p = 2: symmetric wake, |cl|", "value": 3.345294961182299e-14, "expected": "< 1e-6", "passed": true}, {"name": "p = 3: converged", "value": true, "expected": "true", "passed": true}, {"name": "p = 3: symmetric wake, |cl|", "value": 1.715294573045867e-14, "expected": "< 1e-6", "passed": true}, {"name": "drag coefficient (highest order)", "value": 1.53726826352535, "expected": "1.45 \u2026 1.65", "passed": true}, {"name": "drag change between the two highest orders (rel.)", "value": 0.0014997336253305626, "expected": "< 0.02", "passed": true}, {"name": "wall heat conduction of the solution with the adiabatic mask lifted: p = 3 relative to p = 2", "value": 0.4055823198817571, "expected": "< 1 (vanishes for the exact solution: must decrease under p-refinement)", "passed": true}], "charts": [], "tables": [{"id": "drag", "title": "Drag by polynomial degree", "columns": ["p", "DOF", "converged", "cd", "cl", "wall heat conduction with the mask lifted (\u222b|q_n| dS)"], "rows": [[2, 8640, true, 1.5395737564313126, -3.345294961182299e-14, 0.06531389262059248], [3, 15360, true, 1.53726826352535, -1.715294573045867e-14, 0.026490160089567873], ["reference", "\u2014", "\u2014", 1.52, 0.0, 0.0]]}], "provenance": {"version": "0.4.0", "commit": "39979fcf902ad6116eb550b881b4278d4599c8e2", "dirty": false, "describe": "39979fcf90", "device": {"platform": "cpu", "device": "cpu:0", "device_kind": "cpu", "jax": "0.11.2", "x64": true}, "timestamp": "2026-11-12T11:25:40-0500"}, "wall_time": 417.19, "level": "quick"}