numerics for geofluid dynamics
numerics for geofluid dynamics
numerics for geofluid dynamics
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Kartei Details
| Karten | 41 |
|---|---|
| Sprache | English |
| Kategorie | Physik |
| Stufe | Universität |
| Erstellt / Aktualisiert | 21.07.2018 / 25.07.2018 |
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Advection Equation: An overview:
Analytical:
\(\frac{\partial u}{\partial t}-c\frac{\partial u}{\partial x}\)
solution: \(u(t,x)=f(x-ct)\)
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Euler forward: Only stable when with upstream space differencing. Introduces a strong damping. The CFL criterion must be also fulfilled.
Leap-frog scheme: conditionally stable with the CFL criterion.
Fazit: I would use leapfrog since it has a higher order of accuracy than the others.
