Changes between Version 2 and Version 3 of u/erica/JeansTest

Timestamp:

06/21/13 14:14:56 (11 years ago)

Author:

Erica Kaminski

Comment:

—

u/erica/JeansTest

@@ -19 +19 @@
 [[latex($\lambda_J = 1.08 \times 10^{20} cm \approx 35 pc $)]]
 
+= Determining the form of the perturbation function = 
+
+Recall,
+
+[[latex($\rho_1 = C \cos(kx) e^{[4 \pi G \rho_0 (1-\frac{\lambda_J^2}{\lambda^2})]^{1/2}t}$)]]
+
+so in addition to specifying the sound speed and ambient density, we need to specify the wave length of the perturbation. With the desire to keep the ratio [[latex($\lambda_J / \lambda $)]] small, I chose 
+
+[[latex($\lambda = 10 \lambda_J = 350 ~ pc$)]]
+
 = Setting up the problem domain = 
 
@@ -35 +45 @@
 [[latex($\triangle x = 1~pc $)]]
 
-so there are about 35 cells/ Jeans length.
+so there are about '''35 cells/ Jeans length'''.
+
+
+Given the simulation is 1D, I set the ylower/yupper and zlower/zupper bounds to 0 in global.data, and set the number of cells in y = 1 and z = 1.
+
+= Problem Scales = 
+
+
 
 = Seeding the perturbation, analytic solution =