Raise the Velocity, Lose 27% of Your Diffusion — The Extra Flux in LBM Convection-Diffusion
·6 min read
Set D through tau in a lattice Boltzmann convection-diffusion model and it still spreads at D(1-u²/cs²). Where Chapman-Enskog drops the extra flux, and the source term that erases it.
Advecting Without Splitting Directions — The Bell-Colella-Glaz Unsplit Upwind Scheme
·6 min read
An unsplit second-order Godunov predictor that smears a rotating scalar far less
When FTCS Trembles, Upwind Goes Numb — First-Order Advection, Artificial Viscosity, and the CFL Trade
·4 min read
Why centered differencing explodes, why upwind survives, and what it pays for it
When Lax–Wendroff Shook at a Step — Building a 2nd-Order TVD Advection Scheme with Flux Limiters
·5 min read
Sidestep Godunov's theorem to build a monotone 2nd-order advection scheme