Institut für Allgemeine Elektrotechnik, Uni Rostock - Universität ...

Example
4
b 1
1
4
b
2
e
b 2
b 3
e 1
−9
0
-2
-4
Δ t = 4⋅10
Δ t = 110 ⋅
−9
Δ t = 2⋅10
−9
Δ t = 3⋅10
−9
t
stability limit for time step: Δt ≤ Δt max
≈3.3356 ⋅10
(experimentally found)
Prof. Dr. Ursula van Rienen, Universität Rostock, Fakultät für Informatik und Elektrotechnik (IEF), Institut für Allgemeine Elektrotechnik (IAE)
−9
Let’s regard again our small example with a computational domain built
out of four cells only, with equidistant Cartesian grid of N u
x N v
x N ω
= 3 x 3
x 2 (Δ u
=Δ v
=Δ ω=
Δ) lines.
We assumed ideal electric boundaries such that only the field components
displayed in the sketch are non-vanishing (indices are chosen different
from usual).
Experimentally, the stability limit given above could be found..
30