What You Give Up the Exact Riemann Solution For — the Roe Solver and the Entropy Fix
·6 min read
From the sqrt(rho) average to the entropy glitch, implementing Roe, HLL, and HLLC by hand
The Euler Eigensystem in an Arbitrary Direction — Three Waves, Two Repeats, One Singularity
·5 min read
Where the left eigenvector breaks when n̂ tilts, and the three conventions that dodge it
[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.