In this post we describe the smaug models and the set up of each of the simulations

We outlined the simulations in the project description “Solar Jets”

All the simulations and models are detailed on git hub smaug_jet@github

Model Parameters

Model Dimensions and Driver Location

2D model

n1,n2,n3

1028,2048

Number of mesh elements for each dimension

Name	Value	Notes
aa	0.1 m/s	Amplitude
s_period	100 s	Driver period
tdep	1	Switches tdepenedence on/off
dx,dy,dz	0.5,0.5,0.25Mm	Gaussian width of driver

Driver amplitude

$amp=aa.\exp{(-\frac{x^2}{dx^2})}\times\exp{(-\frac{y^2}{dy^2})}$

$tdep=\sin{\frac{2\pi t}{T}}$

$v=amp \times tdep$

$aa= amp\times tdep$

$aa= aa_{nm}\times tdep \times \sin{\frac{(n + 1)\pi x}{L_{x}}}\times\exp{(-\frac{y^2}{dy^2})}$

$aa= -\frac{aa}{2} \times (\tanh({\pi + \frac{\pi (t-T)}{T} ) + 1 )}\times\exp{(-\frac{y^2}{dy^2})}$

Note use %2B to represent +

$e^{i +\pi} =x+1$

$x_{1,2} = {-b\pm\sqrt{b^2 - 4ac} \over 2a}.$

This math is inline $a^2+b^2=c^2$.

This is on a separate line

a^2+b^2=c^2