Changes between Version 32 and Version 33 of u/erica/MusclHancock


Ignore:
Timestamp:
06/18/13 11:52:12 (11 years ago)
Author:
Erica Kaminski
Comment:

Legend:

Unmodified
Added
Removed
Modified
  • u/erica/MusclHancock

    v32 v33  
    4646  that is, for the elements of
    4747  [[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 $)]],
    54   respectively. These values are crucial in the MH scheme and their role will be presented shortly. Their values are given by
     48  in cell i on the nth time level. Using a linear function produces 2 extreme values of each cell, one on the left and on the right (ul and ur). These values are crucial in the MH scheme and their role will be presented shortly. Their values are given by
    5549  [[latex($ u_l = u_i(0) = u_i ^n - \frac{1}{2} \triangle_ i $)]]
    5650  and
     
    6458  [[latex($ \frac{\partial \vec{u}}{\partial t} + \frac{\partial f(\vec{u})}{\partial x} = 0 $)]]
    6559
    66   [[latex($ u(x,0) =  \frac{u_i^r, x\<0}{u_{i+1}^l, x\>0} $)]]
     60 
    6761
    6862 where 0 is the local origin, i.e. any given intercell boundary.