Changes between Version 10 and Version 11 of u/erica/RoeSolver


Ignore:
Timestamp:
05/16/13 14:17:28 (12 years ago)
Author:
Erica Kaminski
Comment:

—

Legend:

Unmodified
Added
Removed
Modified

  • u/erica/RoeSolver

    v10 v11  
    55= The ROE Solver =
    66
    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 equations
     7The 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:
    88{{{#!Latex
    9 U_t + F(U)_x = 0
     9\vec{U}_t + \vec{F}(\vec{U})_x = 0
    1010}}}
    1111can be written in matrix form as: