Changes between Version 9 and Version 10 of u/erica/GudonovMethodEuler

Timestamp:

04/29/13 22:42:21 (12 years ago)

Author:

Erica Kaminski

Comment:

—

u/erica/GudonovMethodEuler

@@ -18 +18 @@
 
 {{{#!latex
-u{_i ^{n+1}} = u{_i ^n} + \frac{\triangle t}{ \triangle x}*[F(i-1/2) - F(i+1/2)]
-\rho
+u{_i ^{n+1}} = u{_i ^n} + \frac{\triangle t}{ \triangle x}*[F{_{i-1/2}} - F{_{i+1/2}}]
 }}}
 
-where F(i-1/2) is the numerical flux, which = F(u(i+1/2, 0)) (i.e. the physical flux evaluated using the solution to local RP)
+where 
+
+{{{#!latex
+F{_{i-1/2}} 
+}}}
+
+is the numerical flux, which = F(u(i+1/2, 0)) (i.e. the physical flux evaluated using the solution to local RP)
 
 where delta_t is constrained by the delta_t <= delta_x/max[S(n)] <- here s(n) is a given wave speed. note this allows a wave to travel a full delta_x in a time-step