Changes between Version 93 and Version 94 of u/erica/RoeSolver
 Timestamp:
 05/31/13 14:08:20 (11 years ago)
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u/erica/RoeSolver
v93 v94 35 35 [[latex($\triangle \vec{U} = \vec{U}_R  \vec{U}_L = \Sigma _{i=1,m} \hat{\alpha}_i(\vec{W}) \hat{\vec{K}}^{(i)}(\vec{W})$)]] 36 36 37 The eigenvalues and vectors are derived straightforwardly from the Jacobian, using typical methods.37 where the Wvector denotes the vector primitive variables rho, u, and p, as usual. The eigenvalues and vectors are derived straightforwardly from the Jacobian, using typical methods. 38 38 39 39 Now, we assume the independent variables u, rho, etc. of these functions for alpha, lambda, and K are reference states (associated with hat notation) which we use to solve for any general, averaged versions of the variables (associated with tilde notation), which we use in the numerical flux. Toro goes through the algebraic analysis for the general case for the Euler equations. The results are as follows.