Changes between Version 69 and Version 70 of u/erica/RoeSolver

Timestamp:

05/17/13 16:54:19 (13 years ago)

Author:

Erica Kaminski

Comment:

—

u/erica/RoeSolver

@@ -122 +122 @@
 }}}
 
-Note that the vector equation for the numerical flux makes up 3 equations for the 3D Euler equations, one for each component of the following vectors,
-
-{{{#!Latex
-\vec{F}_{i+1/2} = <\rho_{i+1/2}, ~u_{i+1/2}, ~p_{i+1/2}>
-}}} 
-
-{{{#!Latex
-\vec{F}_L = <\rho_L, ~\rho_L * u_L, ~0.5\rho_L*u_L^2 + \frac{p_L}{\gamma - 1}>
-}}} 
+Note that the vector equation for the numerical flux makes up 3 equations for the 3D Euler equations, one for each component of the following vectors: the vector of numerical fluxes in conserved form,
+{{{#!Latex
+\vec{F}_{i+1/2} = <\rho_{i+1/2}, ~p_{i+1/2}, ~E_{i+1/2}>
+}}} 
+
+vector of left-fluxes in conserved form,
+{{{#!Latex
+\vec{F}_L = <\rho_L, ~\rho_L u_L, ~0.5\rho_L u_L^2 + \frac{p_L}{\gamma - 1}>
+}}} 
+
+vector of right-fluxes in conserved form,
+{{{#!Latex
+\vec{F}_L = <\rho_R, ~\rho_R u_R, ~0.5\rho_R u_R^2 + \frac{p_R}{\gamma - 1}>
+}}} 
+
+and eigenvectors,
 
 {{{#!Latex