# weigthed average of terms t1~t8
# with fsd masked for [0.1, 0.9]

[u, v, w, y]

c = 1.0 - y
wrate = rxn_rate(c)

mask = $threshold_min_max(c)
fsd_orig = sqrt (sqr(ddx(c)) + sqr(ddy(c)) + sqr(ddz(c)))
fsd = fsd_orig * mask

sd = ((d2dx(c) + d2dy(c) + d2dz(c)) * $rod + wrate) / fsd_orig

nx = - ddx(c) / fsd_orig
ny = - ddy(c) / fsd_orig
nz = - ddz(c) / fsd_orig

vn = u * nx + v * ny + w * nz

divn = ddx(nx) + ddy(ny) + ddz(nz)

absk = abs(divn)

lapc = d2dx(c) + d2dy(c) + d2dz(c)

t1 = (vn + sd) * nx

t2 = t1' * nx'

t3 = t1' * divn'

t4 = t1' * absk'

t5 = sqr(t1')

t6 = sqr(nx')

t7 = sqr(divn')

t8 = sqr(absk')

avg { c, u, v, w, fsd, lapc, ddx_c, ddy_c, ddz_c, d2dx_c, d2dy_c, d2dz_c }

avg fsd { u, v, w, nx, ny, nz, t1, t2, t3, t4, t5, t6, t7, t8, absk, divn, sd }