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Inviscid Burgers Equation Explorer

u_t + u·u_x = 0

Shape

Amplitude A 1.0

Width σ 0.12

Grid points N 300

CFL number ν 0.90

Scheme

Viscosity ε 0.004

Exact (pre-shock)

Numerical solution

Viscous Burgers

Initial profile

Shock / gradient marker

Fill under curve

Speed 1.0×

Loop at T 3.0

t* (shock forms): —

Shock at x = —

s (R-H speed) = —

u_L = —

u_R = —

max|u| = —

t = 0.000 pre-shock ν = 0.90

u(x, t) — Solution Profile

∂u/∂x — Gradient (steepening → shock)

t = 0.000 t* = — Shock: — dx = — dt = — Godunov CFL = —

📖 Inviscid Burgers Equation — Theory Guide