Changes between Version 32 and Version 33 of u/erica/MusclHancock
 Timestamp:
 06/18/13 11:52:12 (11 years ago)
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u/erica/MusclHancock
v32 v33 46 46 that is, for the elements of 47 47 [[latex($ \vec{u} $)]] 48 in cell i on the nth time level. Using a linear function produces 2 extreme values of each cell, one on the left and on the right: 49 50 [[latex($ u_l $)]] 51 and 52 53 [[latex($ u_r $)]], 54 respectively. These values are crucial in the MH scheme and their role will be presented shortly. Their values are given by 48 in cell i on the nth time level. Using a linear function produces 2 extreme values of each cell, one on the left and on the right (ul and ur). These values are crucial in the MH scheme and their role will be presented shortly. Their values are given by 55 49 [[latex($ u_l = u_i(0) = u_i ^n  \frac{1}{2} \triangle_ i $)]] 56 50 and … … 64 58 [[latex($ \frac{\partial \vec{u}}{\partial t} + \frac{\partial f(\vec{u})}{\partial x} = 0 $)]] 65 59 66 [[latex($ u(x,0) = \frac{u_i^r, x\<0}{u_{i+1}^l, x\>0} $)]]60 67 61 68 62 where 0 is the local origin, i.e. any given intercell boundary.