Changes between Version 17 and Version 18 of u/erica/RoeSolver
- Timestamp:
- 05/16/13 14:23:39 (12 years ago)
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u/erica/RoeSolver
v17 v18 14 14 15 15 {{{#!Latex 16 \vec{U}_t + \ partial F \partial U\vec{U}_x = 016 \vec{U}_t + \frac{\partial F} {\partial U} \vec{U}_x = 0 17 17 }}} 18 18 where, the Jacobian matrix A= is a NON-constant coefficient matrix, the Euler equations comprise a NON-linear set of equations. An easier system to solve would be one that is a linear, constant coefficient system of equations. We can transform the Euler equations into this simpler case, if we make transformations of variables in the matrix to be some average function of the left and right data state variables. This results in the set of equations:
