Changes between Version 12 and Version 13 of u/erica/RoeSolver
- Timestamp:
- 05/16/13 14:21:03 (12 years ago)
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u/erica/RoeSolver
v12 v13 11 11 12 12 {{{#!Latex 13 \vec{U}_t + \ frac{\partial F}{\partial U}\vec{U}_x = 013 \vec{U}_t + \partial F \partial U \vec{U}_x = 0 14 14 }}} 15 15 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:
