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#Operator-Splitting

~15 min read

[Paper Review] The Pressure Went Implicit and Δt Still Shrank 100× — the Second 1/M² Hiding in the Relative Velocity

·8 min read

In an isentropic two-phase all-Mach split, the enthalpy jump hides a second 1/M². The CFL stays tied to Mach until that term is integrated implicitly too.

Letting Sound and Matter Flow Separately — Acoustic-Convective Splitting (Lagrange-Projection)

·7 min read

At M=0.02 the acoustic band stays 2c wide while convection crawls. Feeding R back into the upwind step holds the momentum error at 2.2e-16.