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