Implicit-Explicit Runge-Kutta schemes for hyperbolic systems ... - utenti

Applications
Broadwell model
∂tρ + ∂xm = 0,
∂tm + ∂xz = 0,
∂tz + ∂xm = 1
ε (ρ2 + m 2 − 2ρz),
where ε is the mean free path. The dynamical variables ρ and m are the density and the
momentum respectively, while z represents the flux of momentum.
We perform an accuracy test for schemes ARS(2,2,2) and IMEX-SSP2(2,2,2) with smooth
initial data and periodic b.c. The space discretization is carried out on a staggered grid
using Nassyahu and Tadmor central schemes strategy.
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