Changes between Version 111 and Version 112 of FluxLimitedDiffusion

Timestamp:

03/28/13 13:36:51 (12 years ago)

Author:

Jonathan

Comment:

—

FluxLimitedDiffusion

@@ -474 +474 @@
 and
 
-where [[latex(\omega_{i} = \frac{\lambda_i \Delta t}{\Delta x} \left ( \frac{\kappa_{0P,i}}{\kappa_{0R,i}}-\frac{1}{2} \right ) = \frac{1}{2}\mathbf{F} \cdot \frac{\mathbf{v}}{c} \left ( \kappa_{0P,i}-\kappa_{0R,i} \right ))]]
-
-
+where [[latex(\omega_{i} = \frac{\lambda_i \Delta t}{\Delta x} \left ( \frac{\kappa_{0P,i}}{\kappa_{0R,i}}-\frac{1}{2} \right ))]]
+
+where
+
+[[latex(\frac{\omega}{\alpha} = \frac{v}{c} \kappa_{0R,i} \Delta x)]]
 === Time Discretization ===
 
@@ -536 +538 @@
 So we would just modify [[latex(\alpha)]] and zero out the matrix coefficient to the ghost zone
 
+
+
 === Constant Slope Boundary ===
 Here we want the flux to be constant so energy does not pile up near the boundary.  If we cancel all derivative terms on both sides of the cell, this will effectively match the incoming flux with the outgoing flux.  This can also be done by setting [[latex(\alpha_g = \alpha_i = 0)]]