[Paper Review] MSTACS with Slope 3 Blew Up After 255 Steps at Co=0.5 — Compressive Differencing and the Courant Limit
We ran the compressive scheme of MSTACS eq. (18) on a 1D slab. Without redistribution it diverges above Co=0.44. The culprit is the product of the NVD slope k and the Courant number.
A Motionless Droplet Melted to Half Its Mass — The Curvature Term Conservative Allen–Cahn Erases
At zero velocity a droplet lost 49.4% of its mass under classical Allen–Cahn. The conservative form held mass to 1e-14 by cancelling one curvature term.
I dropped K and the water compressed 1.86x too much — an interface error that refinement does not remove
Deriving the compressibility factor K of compressible VOF straight from the isobaric closure, then measuring how much liquid volume a zeroed or sign-flipped K shaves off in a 1D compression test.
Mobility Up 10×, Interface Width Unchanged — The Anti-Diffusion Term in Conservative Allen–Cahn
Why the anti-diffusion term cancels diffusion exactly, pinning interface width to W rather than to mobility, and where that term enters the LBM equilibrium.
[Paper Review] The Capillary Shackle Came Off and CFL 0.05 Was Still There — The Real Ceiling on VOF Interface Advection
Implicit surface tension breaks the capillary time-step limit, yet the compressive scheme carrying the color function caps the time step at CFL 0.05.
[Paper Review] One Scheme Can't Handle Every Wave — Chamarthi (2025)
Wave-appropriate reconstruction for compressible multicomponent flows — THINC at contacts, MP5 at shocks, central at viscous tangentials
[Paper Review] Pick the Reconstruction with Smaller Jumps — Deng (2018) MUSCL-THINC-BVD
Deng (2018) builds MUSCL and THINC in every cell, then keeps the one with the smaller jump on the two faces. The rule is called BVD.