Changes between Version 10 and Version 11 of u/erica/RoeSolver
 Timestamp:
 05/16/13 14:17:28 (11 years ago)
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u/erica/RoeSolver
v10 v11 5 5 = The ROE Solver = 6 6 7 The Roe solver attempts to solve the Riemann Problem using an approximation to the numerical flux, albeit with a slightly different spin  linearizing the hyperbolic system of equations. That is, given the Euler equations7 The Roe solver is an approximation means for the numerical flux of the Godunov method, which is derived through linearizing a hyperbolic system of equations. For instance, the Euler equations in conservative form are written: 8 8 {{{#!Latex 9 U_t + F(U)_x = 09 \vec{U}_t + \vec{F}(\vec{U})_x = 0 10 10 }}} 11 11 can be written in matrix form as: