[Paper Review] Prying Advection and Pressure Fully Apart — TV Flux Splitting for Baer–Nunziato
·10 min read
Split a Baer–Nunziato flux and sound speed stays in the pressure system. Toro Test 4 beat Rusanov by 1.5×; Noh then sent pressure to −0.12.
[Paper Review] Fooling a Nonlinear Flux Into Behaving Linearly — Jin–Xin & Suliciu Relaxation
·7 min read
Thomann (2019) review: linearizing the Riemann problem with a relaxation system and buying stability with the sub-characteristic condition
Godunov's Method — One Tiny Shock Tube Inside Every Cell
·5 min read
The Lax tube returns star pressure 3.40948 and star velocity 0.62556. Left state 3.528 makes the left wave a rarefaction and the right a shock.
From the Riemann Problem to Godunov's Scheme - The Essence of Numerical Flux
·4 min read
Godunov flux comes from p* in a two-constant Riemann problem. Shock branches use a square-root f_K; rarefactions use an isentropic power.