Changes between Version 1 and Version 2 of u/johannjc/injection

Timestamp:

12/15/17 15:10:08 (7 years ago)

Author:

Jonathan

Comment:

—

u/johannjc/injection

@@ -6 +6 @@
 5.  The angular momentum injected should equal  $\vec{J}$
 
-First, let's consider a simpler example.  Let's assume we want to inject a certain amount of mass  $M_0$ around a point $\vec{X}$ (in 2D) with a kernel given by $\delta \rho = M K(x)$ where $K(x) = \frac{\exp(-r^2)}{\pi(1-1/e)}$ for $r < 1$.
+First, let's consider a simpler example.  Let's assume we want to inject a certain amount of mass  $M_0$ around a point $\vec{X}$ (in 2D) with a kernel given by 
+
+$\delta \rho = M K(x)$ 
+
+where our normalized kernel
+
+$K(x) = \frac{\exp(-r^2)}{\pi(1-1/e)}$ for $r < 1$.
 
 Here $r$ is the distance from a sink particle.
 
-For 
+For a grid with 10 points in x and y over the interval x=[-1,1] y=[-1,1] - and for a sink particle at [.05,.05] the result is
+
+[[Image(Screen Shot 2017-12-15 at 3.06.47 PM.png​)]]
+
+
+
+[[Image(Screen Shot 2017-12-15 at 3.07.00 PM.png​)]]
+
+[[Image(Screen Shot 2017-12-15 at 3.07.04 PM.png)]]