The Mach Number Goes to Zero, the Time Step Doesn't Budge — Reproducing an IMEX TVD Scheme
·10 min read
A second-order IMEX scheme that escapes the acoustic CFL without oscillating
Letting Sound and Matter Flow Separately — Acoustic-Convective Splitting (Lagrange-Projection)
·5 min read
Implementing the Lagrange-Projection scheme that sidesteps low-Mach stiffness by splitting acoustics from convection
[Paper Review] Stop letting sound speed swallow your CFL — Peluchon (2017) acoustic-transport IMEX
·6 min read
Splitting acoustic from transport gives a 1/M time-step gain on the five-equation model
[Paper Review] Why Roe breaks at low Mach — Hope–Collins (2022) and three artificial-diffusion scalings
·6 min read
How a standard Roe flux collapses at M=0.01, and the three scalings the asymptotics prescribe.