Context Navigation

RoeSolver

-              v35
+              v36
 {{{#!Latex
 \triangle \vec{U} = \vec{U}_R - \vec{U}_L = \Sigma _{i=1,m} \alpha_i \vec{K}^(i)
+\triangle \vec{U} = \vec{U}_R - \vec{U}_L = \Sigma _{i=1,m} \alpha_i \vec{K}^{(i)}
 }}}
+The eigen values and vectors are derived straightforwardly from the Jacobian, using typical methods.
+Now, we can either assume the independent variables u, rho, etc. of these functions for alpha, lambda, and K are 1) reference states which we set, or 2) some general averaged versions of the variables, which we have to solve for. Toro goes through the alebraic analysis for the case of the Euler equations. The results are as follows:
 = A Sample Algorithm =