The Shock Never Left the Starting Line — Where Conservative and Primitive Forms Split
·8 min read
Writing the same equation as a flux divergence or as a velocity times a gradient changes the shock speed you compute. Refining the grid eight-fold converges to the wrong answer.
When Characteristics Collide, a Shock Is Born — Burgers and the (x,t) Plane
·5 min read
How nonlinear self-advection breaks a smooth curve into a shock.