Karten 41 Karten
Lernende 1 Lernende
Sprache English
Stufe Universität
Erstellt / Aktualisiert 21.07.2018 / 25.07.2018
Lizenzierung Keine Angabe
0 Exakte Antworten 41 Text Antworten 0 Multiple Choice Antworten
Fenster schliessen

Advection Equation: An overview: 



\(\frac{\partial u}{\partial t}-c\frac{\partial u}{\partial x}\)

solution: \(u(t,x)=f(x-ct)\) 


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.