Changes between Version 101 and Version 102 of u/erica/RoeSolver
- Timestamp:
- 05/31/13 14:51:41 (11 years ago)
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u/erica/RoeSolver
v101 v102 144 144 [[latex($\vec{F}_{i+1/2} = \vec{F}_L + \lambda*alpha*\vec{K}$)]] 145 145 146 Where [[latex($\vec{K}_{i+1/2}$)]] is the vector of ''numerical'' fluxes, [[latex($\vec{F}_L$)]] is the vector of physical fluxes for the left state, lambda and [[latex( \vec{K})]] are the eigenvalues and eigenvectors, and alpha is the wave speed, all with corresponding expressions given in detail above.146 Where [[latex($\vec{K}_{i+1/2}$)]] is the vector of ''numerical'' fluxes, [[latex($\vec{F}_L$)]] is the vector of physical fluxes for the left state, lambda and [[latex($\vec{K}$)]] are the eigenvalues and eigenvectors, and alpha is the wave speed, all with corresponding expressions given in detail above. 147 147 148 148 For the case of sonic rarefactions, the lambda in the above equation for Roe's flux must be adjusted, and following the Harten-Hyman approach, is taken to be:
