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Advection - 2nd order schemeLevel set equationFVM∂ t c + ⃗ V · ∇c = 0 , ∇ · ⃗V = 0|Ω i |c n+1i= |Ω i |c n i − ∆t n ∑ V ij c n+1/2ijphysical property - “characteristic curves”c n+1/2ij := c(t n , X ij (t n ))Kiel, 23.6.2006c n+1/2ij:= c n ij − ∆tn2 ⃗ V i · ∇c n i58peter.frolkovic@uni-hd.de
Advection - 1st versus 2nd order method10.9t = 010.80.70,80.60,60.5Y0.40,40.30.20,20.100 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 100 0,2 0,4 0,6 0,8X1Kiel, 23.6.200659peter.frolkovic@uni-hd.de
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