Changes between Version 24 and Version 25 of u/erica/MusclHancock
 Timestamp:
 06/17/13 14:51:01 (11 years ago)
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u/erica/MusclHancock
v24 v25 36 36 [[latex($u_i(x) = u_i^n + (x  x_i) \frac{\triangle _i }{\triangle x}, x \in [0, \triangle x]$)]] 37 37 38 where [[latex($ \triangle _i $)]] is called a 'slope' for [[latex($ u_i ^n $)]], that is for the elements of [[latex($ \vec{u} $)]] in cell i on the nth time level. Using a linear function produces 2 extreme values of each cell, one on the left and on the right. These values are crucial in the MH scheme and their role will be presented shortly. A schematic of the situation is as follows: 39 40 [[Image(MusclReconstruction.png, 35%]] 41 38 42 At this point, we are left with a higher order accurate code, but not one that is free of spurious oscillations near large gradients. To circumvent this, we need to add a TVD measure. 39 43