Monday, 07/24: Writing a pm-code - AIP

equations summary 9
Cosmological simulations: equations summary
• Equations of particle motion, the Poisson equation, the equations of
gasdynamics above, along with the equation of state of the gas, form the
set of basic equations solved in cosmological simulations:
dx
dt = u,
du
dt = −∇Φ
∇ 2 Φ = 4πGρ tot .
∂E
∂t
∂u
∂t
∂ρ
∂t
+ ∇ρu = 0,
+ (u · ∇)u = −∇Φ −
∇P
ρ ,
+ ∇ · [(E + P )u] = −ρu · ∇Φ,
ε = f(ρ, P ).