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

Navier-Stokes case (τ = 0.01): First order (left), Second order (center), Third order
(right) at t=10 with N = 64 (bottom) and N = 128 (top) for ε = 10 −6 .
h = 1/128
h = 1/64
6
6
5
5
4
4
3
3
2
2
1
1
0 1 2 3 4 5 6
0
0 1 2 3 4 5 6
0
h = 1/128
h = 1/64
6
6
5
5
4
4
3
3
2
2
1
1
0 1 2 3 4 5 6
0
0 1 2 3 4 5 6
0
h = 1/128
h = 1/64
6
6
5
5
4
4
3
3
2
2
1
1
0 1 2 3 4 5 6
0
0 1 2 3 4 5 6
0
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