all terms for additional CTM figures and variable-sized angled braces for averaged terms

code/code_gen/post.py

@@ -610,7 +610,7 @@ class AveragedField (FieldBase):
         tfield = fdict[tgt]
         self.fset = tfield.checkFluctuation()
 
-        self.latex = r"\langle {} \rangle".format(tfield.latex)
+        self.latex = r"\left\langle {} \right\rangle".format(tfield.latex)
 
         if not self.fset:
             self.tgt = tgt

code/termspecs/termspec.20210708

@@ -0,0 +1,91 @@
+# fsd weighted (vn+sd) correlations
+
+[u, v, w, y]
+
+c(latex="c") = 1.0 - y
+wrate (latex="\dot{\omega}") = rxn_rate(c)
+f (latex="\Sigma_f'")= sqrt (sqr(ddx(c)) + sqr(ddy(c)) + sqr(ddz(c)))
+
+uc = u' * c'
+
+lapc(latex="\Delta c") = d2dx(c) + d2dy(c) + d2dz(c)
+sd(latex="S_d") = ($rod * lapc + wrate) / f
+
+nx(latex="n_x") = - ddx(c) / f
+ny(latex="n_y") = - ddy(c) / f
+nz(latex="n_z") = - ddz(c) / f
+
+nx_lvl = sqr(nx')
+ny_lvl = sqr(ny')
+nz_lvl = sqr(nz')
+
+nx2 = sqr(nx)
+ny2 = sqr(ny)
+nz2 = sqr(nz)
+
+nn = nx2 + ny2 + nz2
+
+unx = u * nx
+vny = v * ny
+wnz = w * nz
+
+unx_fluc = u' * nx'
+vny_fluc = v' * ny'
+wnz_fluc = w' * nz'
+
+vn(latex="v_n") = unx + vny + wnz
+
+divn(latex="(\nabla \cdot \vec{n})") = ddx(nx) + ddy(ny) + ddz(nz)
+
+divn2 = sqr(divn)
+
+# grad(n) : grad(n)
+gradn_gradn(latex="\nabla \vec{n} : \nabla \vec{n}") = sqr(ddx(nx)) + sqr(ddy(ny)) + sqr(ddz(nz)) + 2*(ddx(ny)*ddy(nx)) + 2*(ddx(nz)*ddz(nx)) + 2*(ddy(nz)*ddz(ny))
+
+gradn_gradn_lvl = gradn_gradn' * gradn_gradn'
+
+absk = abs(divn)
+
+absk_lvl = sqr(absk')
+
+vnsd = vn+sd
+
+vnsd_nx = vnsd * nx
+# u * nx_lvl
+# nx * unx_fluc
+sd_nx = sd' * nx'
+u_nx_nx = u' * sqr(nx')
+v_ny_nx = v' * ny' * nx'
+w_nz_nx = w' * nz' * nx'
+
+vnsd_divn = vnsd * divn
+nx_divn = nx' * divn'
+u_divn = u' * divn'
+vn_divn (latex="\vec{v}'' \cdot \vec{n}'' (\nabla\cdot \vec{n})''") = (u' * nx' + v' * ny' + w' * nz') * divn'
+sd_divn = sd' * divn'
+
+
+avg { u, v, w, c, f, lapc, ddx_c, ddy_c, ddz_c, d2dx_c, d2dy_c, d2dz_c, uc }
+
+avg f { 
+u, v, w, 
+nx, ny, nz, 
+nx2, ny2, nz2, 
+nn,
+sd,
+absk, divn,
+absk_lvl,
+nx_lvl, ny_lvl, nz_lvl,
+unx, vny, wnz,
+unx_fluc, vny_fluc, wnz_fluc,
+vnsd_nx,
+sd_nx,
+u_nx_nx ,
+v_ny_nx ,
+w_nz_nx ,
+vnsd_divn,
+nx_divn,
+u_divn,
+vn_divn,
+sd_divn
+}