Setting up this site

This site is meant to work like a lab notebook with the door open: research progress on the Research page, short dated updates on the homepage, and longer notes here when something is worth writing down properly.

Since most of what I might write about involves equations, here is the rendering test. The phase-mass conservation equation from the six-equation two-fluid model I work with:

\[\frac{\partial}{\partial t}\left(\alpha_k \rho_k\right) + \nabla \cdot \left(\alpha_k \rho_k \, \mathbf{u}_k\right) = \Gamma_k\]

where \(\alpha_k\), \(\rho_k\), and \(\mathbf{u}_k\) are the volume fraction, density, and velocity of phase \(k\), and \(\Gamma_k\) is the interphase mass-transfer term. Inline math works too: the shedding regime I simulate sits at \(\mathrm{Re} = 100\text{–}300\).

Code blocks get the same treatment. A crude way to estimate the shedding frequency from a lift-coefficient history — counting upward zero crossings:

! shedding frequency from upward zero crossings of C_L(t)
nzero = 0
do i = 2, nt
   if (cl(i-1) < 0.0d0 .and. cl(i) >= 0.0d0) nzero = nzero + 1
end do
f_shed = dble(nzero) / t_total
st     = f_shed * d / u_inf      ! Strouhal number

If you can read both of those clearly, the pipeline works. More substantial posts to follow — feel free to delete this one once the site is live.