Changes between Version 46 and Version 47 of 1DPulsedJets

Timestamp:

03/30/12 12:45:47 (13 years ago)

Author:

ehansen

Comment:

—

1DPulsedJets

@@ -225 +225 @@
 
 
-where v1 is the ambient velocity, and M is the ambient mach number.  Remember that the mach number M = v1/c where c is the ambient sound speed, and c = sqrt(gamma*p1/rho1) where p1 is ambient pressure, and rho1 is ambient density.
-
-The post-shock density and pressure (rho2 and p2 respectively) can be found by using mass flux and momentum flux conservation across the shock:
+where v1 is the ambient velocity, and M is the ambient mach number.  Remember that the mach number M = v1/c where c is the ambient sound speed, and [[latex($c = \sqrt{\frac{\gamma P1}{\rho1}}$)]] where P1 is ambient pressure, and [[latex($\rho1$)]] is ambient density.
+
+The post-shock density and pressure ([[latex($\rho2$)]] and P_2_ respectively) can be found by using mass flux and momentum flux conservation across the shock:
 
 These post-shock values become the boundary conditions for the fluid equations in the cooling region:
 
-where rho, v, and p represent the density, velocity, and pressure in the cooling region as functions of x, and lambda is the cooling rate.
+where [[latex($\rho$)]], v, and P represent the density, velocity, and pressure in the cooling region as functions of x, and [[latex($\Lambda$)]] is the cooling rate.
 
 [[BR]]
 === Initial Parameters ===
 n1 = 60 particles/cc
+
 v1 = 10^7^ cm/s
+
 T1 = 10^4^ K
 
 For analytic cooling,
-[[latex($\Lambda = n^{2}*\alpha*T^{\beta}$)]]
+
+[[latex($\Lambda = n^{2} \alpha T^{\beta}$)]]
+
 where n and T and the number density and temperature in the post-shock region respectively.
 
 For these simulations,
 
-beta = 2
-alpha = 1.2345 * 10^-34^ erg*cm^3^/s/K^2^
+[[latex($\beta$)]] = 2
+
+[[latex($\alpha$)]] = 1.23786 * 10^-34^ erg*cm^3^/s/K^2^
 
 cell length = 10^18^ cm
+
 problem domain = 400 cells
+
 final time ~ 4000 years