Changes between Version 41 and Version 42 of u/erica/RoeSolver
- Timestamp:
- 05/16/13 16:10:18 (11 years ago)
Legend:
- Unmodified
- Added
- Removed
- Modified
-
u/erica/RoeSolver
v41 v42 54 54 }}} 55 55 56 where 56 where a is the local sound speed, given by 57 57 58 58 {{{#!Latex 59 a=\Sqrt{s} 60 59 a^2 = \frac{\gamma P}{\rho} 61 60 }}} 62 61 62 The corresponding right eigenvectors are: 63 63 64 64 {{{#!Latex 65 \vec{K}^1 = <1, u-a, v, w, H-ua>, ~\vec{K}^2 = <1,u,v,w,V^2/2>, ~\vec{K}^3 = <0,0,1,0,v>, ~\vec{K}^4 = <0,0,0,1,w>, ~\vec{K}^5 = <1, u+a, v, w, H+ua> 66 }}} 65 67 66 68 = A Sample Algorithm =