The Same Code Gave 0.79 and 2.00 at Once — What Verification Cases Actually Measure
·8 min read
Sod's density L1 order is 0.79 on a discontinuous tube. The same MUSCL–HLLC code gives 2.001 on a smooth wave, and minmod pulls that down to 1.491.
Dean Flow: Analytical Solution and CFD Validation for Helical Pipe Flow
·5 min read
At Re_d = 10000 and a coil radius of 2.3 m the Dean number is about 510, well outside the small-De perturbation used for the stream function.
Poiseuille Flow: Analytical Solution Derivation and Finite Difference Validation
·5 min read
At h = G = μ = 1 the centerline speed is 1/2 and the flow rate is 2/3. FD L2 starts at 2.78e-16 and never leaves roundoff, so ~2.0 is not a measured order.