The Shock Never Left the Starting Line — Where Conservative and Primitive Forms Split
·8 min read
Writing the same equation as a flux divergence or as a velocity times a gradient changes the shock speed you compute. Refining the grid eight-fold converges to the wrong answer.
[Paper Review] Drawing Shocks with tanh — Implementing TENO-THINC Reconstruction
·6 min read
How THINC keeps a sub-cell jump alive when polynomials smear the contact
[Paper Review] One Scheme Can't Handle Every Wave — Chamarthi (2025)
·7 min read
Wave-appropriate reconstruction for compressible multicomponent flows — THINC at contacts, MP5 at shocks, central at viscous tangentials
Where Negative Density Leaks In — A Positivity-Preserving Flux Limiter for Blast Waves
·5 min read
The one-line θ-blend that keeps ρ above zero in a Le Blanc shock tube.
Godunov's Method — One Tiny Shock Tube Inside Every Cell
·4 min read
The Riemann fan, the exact Lax solution, and the wall that bounds Godunov to first order.
1950 — When von Neumann Deliberately Smeared the Shock: Artificial Viscosity and Odd-Even Decoupling
·5 min read
The ξ²(Δu)² trick that killed post-shock wiggles, and the new problem it left behind.
[Paper Review] When WENO Smears Small Eddies — Fu (2019) Low-Dissipation TENO Finite-Volume Scheme
·5 min read
Why 5th-order WENO-JS still smears smooth scales, and how TENO's sharp cutoff fixes it