CFL = 1 takes ten thousand steps, CFL = 100 explodes — Switched Evolution Relaxation
·5 min read
SER ramps the CFL number from the residual to accelerate steady-state convergence
Why Droplet Simulations Get Trapped by Δt — Solving Surface Tension Implicitly
·5 min read
Reproducing Janodet 2025, which breaks the capillary time-step shackle with implicit surface tension
When Explicit Blows Up, Solve Implicit Without Inverting the Matrix — LU-SGS
·5 min read
Implicit time-stepping stability and the LU-SGS factorization, verified in code
Implicit Diffusion and the Thomas Algorithm — Buying Stability with One Tridiagonal Solve
·4 min read
Past the explicit blow-up wall, the cost of unconditional stability is one O(N) sweep